Existence of solutions for periodic boundary value problems for second-order integro-differential equations

被引：0

作者：

Shihuang H. ^{[1
,2
]}

Shigeng H. ^{[1
,2
]}

机构：

[1] Science and Engineering College, Hainan University

[2] Department of Mathematics, Huazhong University of Science and Technology

来源：

Applied Mathematics and Mechanics | 2000年 / 21卷 / 3期

关键词：

Maximal and minimal solutions; Ordered banach spaces; Periodic boundary value problems;

D O I：

10.1007/BF02459015

中图分类号：

学科分类号：

摘要：

By establishing a comparison result and using monotone iterative methods, the theorem of existence for minimal and maximal solutions of periodic boundary value problems for second-order nonlinear intégra-differential equations in Banach spaces is proved.

引用

页码：355 / 362

页数：7

共 50 条

[31] On the existence of solutions of boundary value problems for second order differential equations
Kelevedjiev, P
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (04) : 563 - 573
[32] Periodic　Boundary　Value　Problems　for　Second　Order　Impulsive　Integro－differential　Equations　of　Mixed　Type　in　Banach　Spaces
韦忠礼
数学进展, 1995, (01) : 87 - 88
[33] Periodic Boundary Value Problems for Second-Order Functional Differential Equations
Xiangling Fu
Weibing Wang
Journal of Inequalities and Applications, 2010
[34] Periodic Boundary Value Problems for Second-Order Functional Differential Equations
Fu, Xiangling
Wang, Weibing
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[35] Periodic boundary value problems of second-order impulsive differential equations
Yao, Meiping
Zhao, Aimin
Yan, Jurang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 262 - 273
[36] Existence of positive solutions for boundary-value problems of second-order delay differential equations
Bai, DY
Xu, YT
APPLIED MATHEMATICS LETTERS, 2005, 18 (06) : 621 - 630
[37] Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems
Ruyun Ma
Chenghua Gao
Ruipeng Chen
Boundary Value Problems, 2010
[38] Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems
Ma, Ruyun
Gao, Chenghua
Chen, Ruipeng
BOUNDARY VALUE PROBLEMS, 2010,
[39] PERIODIC SOLUTIONS OF A SECOND-ORDER NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION
Alymbaev, A. T.
Kyzy, A. Bapa
Sharshembieva, F. K.
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2024, 31 (02): : 285 - 297
[40] Nonlinear Periodic Boundary Value Problem for Second Order Integro-differential Equations of Volterra Type
许鹏程
苗树梅
Northeastern Mathematical Journal, 1997, (03) : 291 - 298

← 1 2 3 4 5 →