期刊文献+
任意字段
题名或关键词
题名
关键词
摘要
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息
共找到22篇文章
< 1 2 >
每页显示 20 50 100
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
显示方式：
THE EXISTENCE OF SOLUTION TO THE FINITE ELASTODYNAMICS WITH MIXEDBOUNDARY CONDITIONS 认领 引用
1
作者 郭兴明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第1期27-35,共9页
In this paper the existence of solution to finite elastodynamics constrainted by mixed boundary conditions is derived when the hyperpotential and its gradient (for Green's strain) satisfy adequate conditions.
关键词 finite deformation nonlinear constitutive elastodynamics existence of solution
暂未订购 下载PDF
GLOBAL EXISTENCE OF SOLUTION TO NONLINEAR INTEGRODIFFERENTIAL EQUATION IN A BANACH SPACE 认领 引用 被引量：3
2
作者 庄万 于洪义 《Acta Mathematica Scientia》 SCIE 1989年第4期367-372,共6页
Using Daher's fixed point theorem, we obtain a local existence theorem, in which the assumption is weaker than That in the Theorem 2.1 in [2]. Based on this theorem, we get a global existence theorem which is an e... Using Daher's fixed point theorem, we obtain a local existence theorem, in which the assumption is weaker than That in the Theorem 2.1 in [2]. Based on this theorem, we get a global existence theorem which is an extension of certain results for ordinary differential equations. 展开更多
关键词 GLOBAL EXISTENCE OF SOLUTION TO NONLINEAR INTEGRODIFFERENTIAL EQUATION IN A BANACH SPACE
暂未订购 下载PDF
ANALYSIS ON EXACT SOLUTIONS FOR THE INCOMPRESSIBLE EULER EQUATIONS IN RN 认领 引用
3
作者 Xinglong WU Boling GUO 《Acta Mathematica Scientia》 SCIE CSCD 2026年第4期1827-1840,共14页
The present is concerned with the study of blow-up and global existence of the spherically symmetric solutions for the incompressible Euler equations in RN for any dimension N≥2.The approach is to construct explicit ... The present is concerned with the study of blow-up and global existence of the spherically symmetric solutions for the incompressible Euler equations in RN for any dimension N≥2.The approach is to construct explicit solution with spherical symmetry to study certain blow-up and no blow-up phenomena of solutions to the incompressible Euler equation in RN. 展开更多
关键词 the incompressible Euler equations blow-up phenomena global existence of solution spherically symmetric solutions the asymptotic behavior
暂未订购 下载PDF
Existence of Solutions of a Two-Point Boundary Value Problem 认领 引用
4
作者 Shu-hongWu 《Acta Mathematicae Applicatae Sinica》 2005年第1期77-80,共4页
A two-point boundary value problem with a non-negative parameter Q arising inthe study of surface tension induced flow of a liquid metal or semiconductor is studied. We provethat the problem has at least one solution ... A two-point boundary value problem with a non-negative parameter Q arising inthe study of surface tension induced flow of a liquid metal or semiconductor is studied. We provethat the problem has at least one solution for Q ≥ 0. This improves a recent result that theproblem has at least one solution for 0 ≤ Q ≤ 13.21. 展开更多
关键词 two-point boundary value problem Brouwer degree existence of solution 2000
暂未订购 下载PDF
EXISTENCE OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS FOR IMPULSIVE DEFFERENTIAL EQUATIONS WITH DELAYED ARGUMENTS 认领 引用
5
作者 Yang Wanqian Luo Zhiguo 《Annals of Differential Equations》 2008年第1期86-92,共7页
In this paper,we study the existence and approximation of solution to boundary value problems for impulsive differential equations with delayed arguments.Sufficient conditions are established for the existence of a un... In this paper,we study the existence and approximation of solution to boundary value problems for impulsive differential equations with delayed arguments.Sufficient conditions are established for the existence of a unique solution or extremal ones to the given problem.A monotone iterative technique is applied. 展开更多
关键词 impulsive differential equations monotone iterative technique equations with delayed arguments existence and approximation of solution
The Robin Problem for Singular Perturbed Integral Differential Equations of Volterra Type 认领 引用 被引量：11
6
作者 张祥 《Chinese Quarterly Journal of Mathematics》 1992年第3期24-31,共8页
In this paper,making use of upper and lower solutions,we first prove the existence of the solu tion for integral differential equation of Volterra type.Then applying the theory of differential in equalities obtained,u... In this paper,making use of upper and lower solutions,we first prove the existence of the solu tion for integral differential equation of Volterra type.Then applying the theory of differential in equalities obtained,under the appropriate assumptions,by constructing the special function of upper and lower solutions,we demonstrate the existence of the solution for singularly preturbed integral differential equation of Volterra type,and give the uniformly valid approximate estimation. 展开更多
关键词 singular perturbation differential inequalities the existence of solution approxi mate estimation
暂未订购 下载PDF
ON TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATION WITH A LOCALIZED NONLINEAR DISSIPATION IN BOUNDED DOMAIN 认领 引用 被引量：1
7
作者 Jeong Ja Bae 《Acta Mathematica Scientia》 SCIE CSCD 2012年第3期893-906,共14页
In this article, we consider the global existence and decay rates of solutions for the transmission problem of Kirchhoff type wave equations consisting of two physi- cally different types of materials, one component i... In this article, we consider the global existence and decay rates of solutions for the transmission problem of Kirchhoff type wave equations consisting of two physi- cally different types of materials, one component is a Kirchhoff type wave equation with nonlinear time dependent localized dissipation which is effective only on a neighborhood of certain part of the boundary, while the other is a Kirchhoff type wave equation with nonlinear memory. 展开更多
关键词 Existence of solution uniform decay transmission problem Kirchhoff type wave equation boundary value problem localized dissipation
暂未订购 下载PDF
Group of Weakly Continuous Operators Associated to a Generalized Schrödinger Type Homogeneous Model 认领 引用 被引量：1
8
作者 Yolanda Silvia Santiago Ayala 《Journal of Applied Mathematics and Physics》 2023年第4期919-932,共14页
In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger type homogeneous model in the periodic distributional space P’. Furthermore, we prove that the solution depends ... In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger type homogeneous model in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously respect to the initial data in P’. Introducing a family of weakly continuous operators, we prove that this family is a group of operators in P’. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we give some remarks derived from this study. 展开更多
关键词 Groups Theory Weakly Continuous Operators Existence of Solution Generalized Schrödinger Type Equation Homogeneous Equation Periodic Distributional Space
暂未订购 下载PDF
Semigroup of Weakly Continuous Operators Associated to a Generalized Schrödinger Equation 认领 引用
9
作者 Yolanda Silvia Santiago Ayala 《Journal of Applied Mathematics and Physics》 2023年第4期1061-1076,共16页
In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger equation in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously r... In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger equation in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously respect to the initial data in P’. Introducing a family of weakly continuous operators, we prove that this family is a semigroup of operators in P’. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we provide some consequences of this study. 展开更多
关键词 Semigroups Theory Weakly Continuous Operators Existence of Solution Generalized Schrödinger Equation Distributional Problem Periodic Distributional Space
暂未订购 下载PDF
The Global Attractor and Its Dimension Estimation of Generalized Kolmogorov-Petrovlkii-Piskunov Equation 认领 引用
10
作者 Yuhuai Liao 《Journal of Applied Mathematics and Physics》 2024年第4期1178-1187,共10页
In this paper, the initial boundary value problem of a class of nonlinear generalized Kolmogorov-Petrovlkii-Piskunov equations is studied. The existence and uniqueness of the solution and the bounded absorption set ar... In this paper, the initial boundary value problem of a class of nonlinear generalized Kolmogorov-Petrovlkii-Piskunov equations is studied. The existence and uniqueness of the solution and the bounded absorption set are proved by the prior estimation and the Galerkin finite element method, thus the existence of the global attractor is proved and the upper bound estimate of the global attractor is obtained. 展开更多
关键词 Generalized Kolmogorov-Petrovlkii-Piskunov Equation Existence of Solution Hausdorff Dimension Fractal Dimension
暂未订购 下载PDF
Global Attractors and Their Dimension Estimates for a Class of Generalized Kirchhoff Equations 认领 引用 被引量：3
11
作者 Guoguang Lin Lujiao Yang 《Advances in Pure Mathematics》 2021年第4期317-333,共17页
In this paper, we studied the long-time properties of solutions of generalized Kirchhoff-type equation with strongly damped terms. Firstly, appropriate assumptions are made for the nonlinear source term g (u) and Kirc... In this paper, we studied the long-time properties of solutions of generalized Kirchhoff-type equation with strongly damped terms. Firstly, appropriate assumptions are made for the nonlinear source term g (u) and Kirchhoff stress term M (s) in the equation, and the existence and uniqueness of the solution are proved by using uniform prior estimates of time and Galerkin’s finite element method. Then, abounded absorption set B0k is obtained by prior estimation, and the Rellich-kondrachov’s compact embedding theorem is used to prove that the solution semigroup S (t) generated by the equation has a family of the global attractor Ak in the phase space . Finally, linearize the equation and verify that the semigroups are Frechet diifferentiable on Ek. Then, the upper boundary estimation of the Hausdorff dimension and Fractal dimension of a family of the global attractor Ak was obtained. 展开更多
关键词 Generalized Kirchhoff Equation The Existence and Uniqueness of Solution A Family of the Global Attractor Dimension Estimation
暂未订购 下载PDF
FRACTIONAL INTEGRAL INEQUALITIES AND THEIR APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS 认领 引用 被引量：2
12
作者 Yaghoub JALILIAN 《Acta Mathematica Scientia》 SCIE CSCD 2016年第5期1317-1330,共14页
In this paper, first we obtain some new fractional integral inequalities. Then using these inequalities and fixed point theorems, we prove the existence of solutions for two different classes of functional fractional ... In this paper, first we obtain some new fractional integral inequalities. Then using these inequalities and fixed point theorems, we prove the existence of solutions for two different classes of functional fractional differential equations. 展开更多
关键词 fractional integral inequality existence of solution Caputo fractional derivative fractional differential equation fixed point
暂未订购 下载PDF
On a Discrete Fractional Boundary Value Problem with Nonlocal Fractional Boundary Conditions 认领 引用 被引量：3
13
作者 HUANG Zhong-min XIE Zuo-shi HOU Cheng-min 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第4期539-552,共14页
In this paper, we investigate the nonlinear fractional difference equation with nonlocal fractional boundary conditions. We derive the Green's function for this problem and show that it satisfies certain propertie... In this paper, we investigate the nonlinear fractional difference equation with nonlocal fractional boundary conditions. We derive the Green's function for this problem and show that it satisfies certain properties. Some existence results are obtained by means of nonlinear alternative of Leray-Schauder type theorem and Krasnosel-skii's fixed point theorem. 展开更多
关键词 discrete fractional calculus green’s function nonlocal fractional boundary conditions existence of solution fixed point
暂未订购 下载PDF
CONSERVATIVE DIFFERENCE SCHEME BASED ON NUMERICAL ANALYSIS FOR NONLINEAR SCHRDINGER EQUATION WITH WAVE OPERATOR 认领 引用 被引量：2
14
作者 王廷春 张鲁明 陈芳启 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2006年第2期87-93,共7页
A new conservative finite difference scheme is presented based on the numerical analysis for an initialboundary value problem of a class of Schroedinger equation with the wave operator. The scheme can be linear and im... A new conservative finite difference scheme is presented based on the numerical analysis for an initialboundary value problem of a class of Schroedinger equation with the wave operator. The scheme can be linear and implicit or explicit based on the parameter choice. The initial value after discretization has second-order accuracy that is consistent with the scheme accuracy. The existence and the uniqueness of the difference solution are proved. Based on the priori estimates and an inequality about norms, the stability and the convergence of difference solutions with the second-order are proved in the energy norm. Experimental results demonstrate the efficiency of the new scheme. 展开更多
关键词 Schroedinger equation difference scheme conservation existence and uniqueness of solution convergence
暂未订购 下载PDF
ON TRANSMISSION PROBLEM FOR VISCOELASTIC WAVE EQUATION WITH A LOCALIZED A NONLINEAR DISSIPATION 认领 引用
15
作者 Jeong Ja BAE Seong Sik KIM 《Acta Mathematica Scientia》 SCIE CSCD 2013年第2期362-374,共13页
In this article, we consider the global existence and decay rates of solutions for the transmission problem of Kirchhoff type wave equations consisting of two physically different types of materials, one component bei... In this article, we consider the global existence and decay rates of solutions for the transmission problem of Kirchhoff type wave equations consisting of two physically different types of materials, one component being a Kirchhoff type wave equation with time dependent localized dissipation which is effective only on a neighborhood of certain part of boundary, while the other being a Kirchhoff type viscoelastic wave equation with nonlinear memory 展开更多
关键词 Existence of solution uniform decay transmission problem boundary valueproblem localized dissipation
暂未订购 下载PDF
On Uniform Decay for Transmission Problem of Kirchhoff Type Viscoelastic Wave Equation 认领 引用 被引量：2
16
作者 Jeong Ja BAE 《Acta Mathematica Sinica,English Series》 SCIE 2010年第7期1197-1206,共10页
In this paper we consider the large time behavior of solutions to an n-dimensional transmission problem for two Kirchhoff type viscoelastic wave equations, that is, the wave propagation over bodies consisting of two p... In this paper we consider the large time behavior of solutions to an n-dimensional transmission problem for two Kirchhoff type viscoelastic wave equations, that is, the wave propagation over bodies consisting of two physically different types of materials. One component is a simple elastic part while the other is a viscoelastic component endowed with a long range memory. We show that the dissipation produced by the viscoelastic part is strong enough to produce exponential or polynomial decay of the solution 展开更多
关键词 existence of solution uniform decay wave equation boundary value problem a priori estimates
暂未订购 下载PDF
On the Cauchy Problem of Evolution P-Laplacian Equations with Strongly Non-linear Sources When 1 认领 引用 被引量：1
17
作者 Jun Ning ZHAO Department of Mathematics,Xiamen University,Xiamen 361005,P.R.China E-mail:jnzhao@jingxian.xmu.edu.cnPei Dong LEI Institute of Mathematics,Jilin University,Changchun 130023,P.R.China 《Acta Mathematica Sinica,English Series》 SCIE 2001年第3期455-470,共16页
We study the solvability of the Cauchy problem （1.1）-（1.2） for the largest possible class of initial values,for which （1.1）-（1.2） has a local solution.Moreover,we also study the critical case related to the in... We study the solvability of the Cauchy problem （1.1）-（1.2） for the largest possible class of initial values,for which （1.1）-（1.2） has a local solution.Moreover,we also study the critical case related to the initial value u0,for 1【p【∞. 展开更多
关键词 p-Laplacian equation Strongly non-linear sources Existence and uniqueness of solution
暂未订购 下载PDF
BOUNDARY VXLUE PROBLEMS FOR SYSTEMS OF NONLINEAR SECOND ORDER DIFFERENTIAL DFFERENCE EQUATIONS 认领 引用
18
作者 MIAO SHUMEI 《Chinese Annals of Mathematics,Series B》 SCIE 1995年第2期261-266,共6页
The author studies the boundary value problems for systems of nonlinear second order differential dmerence equstions and adopts a new-type Nagumo conditinn, in which the controlfunction is a vector-Valued function of ... The author studies the boundary value problems for systems of nonlinear second order differential dmerence equstions and adopts a new-type Nagumo conditinn, in which the controlfunction is a vector-Valued function of several variables and which can guarsntee simultaneously and easily finding a priori bounds of eaCh component of the deriVatives of the solutions.Under this new-type Nagumo condition the existence results of solution are proved by meansof differential inopality technique. 展开更多
关键词 Boundary value problem Nonlinear differential difference system,New-type Nagumo condition,Existence of solution,Differential inequality.
暂未订购 下载PDF
ON A HIGH ORDER SPIN WAVE SYSTEM WITH A NONLINEAR FREE TERM 认领 引用
19
作者 Liang Jin 《Journal of Partial Differential Equations》 2006年第1期80-96,共17页
In this paper, we deduct a new spin wave model in lattices, which isa nonlinear high order degenerate parabolic system with a nonlinear free term. In a further theoretical study, by using a parameter e approximation, ... In this paper, we deduct a new spin wave model in lattices, which isa nonlinear high order degenerate parabolic system with a nonlinear free term. In a further theoretical study, by using a parameter e approximation, the existence of a weak solution has been obtained. 展开更多
关键词 Spin wave high order system degenerate parabolic equations existence Of solution.
暂未订购 下载PDF
Non-local Boundary Value Problem for the Third Order Mixed Type Equation in Double-connected Domain 认领 引用 被引量：1
20
作者 ABDULLAYEV O. Kh 《Journal of Partial Differential Equations》 2014年第4期283-292,共10页
In the present paper an existence and uniqueness of solution of the nonlo- cal boundary value problem for the third order loaded elliptic-hyperbolic type equa- tion in double-connected domain have been investigated. A... In the present paper an existence and uniqueness of solution of the nonlo- cal boundary value problem for the third order loaded elliptic-hyperbolic type equa- tion in double-connected domain have been investigated. At the proof of unequivocal solvability of the investigated problem, the extremum principle for the mixed type equations and method of integral equations have been used. 展开更多
关键词 Loaded equation elliptic-hyperbolic type double-connected domain an extremumprinciple existence of solution uniqueness of solution method of integral equations.
暂未订购 下载PDF
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
上一页 1 2 下一页 到第 页
在线咨询 使用帮助 返回顶部 意见反馈