Second order integro-differential equations of Volterra type on unbounded domains in Banach spaces

被引：13

作者：

Guo, D ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 41卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

integro-differential equation; ordered Banach space; comparison result; upper and lower solutions;

D O I：

10.1016/S0362-546X(98)00289-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial value problem (IVP) for first order integro-differential equations of Volterra type on infinite interval J = [0,∞) in a real Banach space was previously addressed by means of fixed point theory. In this work, the IVP is investigated for second order equations by establishing a comparison result and using the upper and lower solutions.

引用

页码：465 / 476

页数：12

共 50 条

[41] ON A SECOND-ORDER DELAY INTEGRO-DIFFERENTIAL EQUATION IN BANACH SPACES
Morosanu, Gheorghe
Petrus el, Adrian
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
[42] Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space
Guo, DJ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1999, 99 (01) : 1 - 15
[43] Second order caratheodory and discontinuous integro-differential equations in Banach algebras
Dhage, B. C.
Ntouyas, S. K.
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2007, 16 (02): : 217 - 231
[44] THE NUMERICAL TREATMENT OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
BRUNNER, H
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1989, 28 : 5 - 23
[45] Global solutions of initial value problems for second order nonlinear integro-differential equations of mixed type in Banach spaces
Liu, LS
Guo, F
Kim, JK
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2002, 9 (04): : 511 - 522
[46] Asymptotic stability of two classes of second-order integro-differential equations of Volterra type
Iskandarov, S.
[J]. DIFFERENTIAL EQUATIONS, 2008, 44 (07) : 909 - 922
[47] Asymptotic stability of two classes of second-order integro-differential equations of Volterra type
S. Iskandarov
[J]. Differential Equations, 2008, 44 : 909 - 922
[48] The solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces
Su, Hua
Liu, Lishan
Zhang, Xiaoyan
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (05) : 1025 - 1036
[49] Nonlinear Periodic Boundary Value Problem for Second Order Integro-differential Equations of Volterra Type
许鹏程
苗树梅
[J]. Communications in Mathematical Research, 1997, (03) : 291 - 298
[50] Quasi Wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains
Luo, Man
Xu, Da
Li, Limei
Yang, Xuehua
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 : 509 - 517

← 1 2 3 4 5 →