Second order initial value problems with non-absolute integrals in ordered Banach spaces

被引：0

作者：

Heikkila, S. ^{[1
]}

Kumpulainen, M. ^{[1
]}

机构：

[1] Univ Oulu, Dept Math Sci, FIN-90014 Oulu, Finland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 03期

关键词：

HL integrability; Ordered Banach space; Regular order cone; Initial value problem; Implicit; Singular; Functional; Discontinuous; Nonlocal; Solution; Smallest; Greatest; DIFFERENTIAL-EQUATIONS; NONSMOOTH;

D O I：

10.1016/j.na.2010.09.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we derive the existence and comparison results for second order initial value problems in ordered Banach spaces. The considered problems can be implicit, singular, functional, discontinuous and nonlocal. The main tools are fixed point results in ordered spaces and the theory of locally HL integrable vector-valued functions. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：901 / 908

页数：8

共 50 条

[31] The unique solution of boundary value problems for nonlinear second-order integral-differential equations of mixed type in Banach spaces
Wang, Zenggul
Liu, Lishan
Wu, Yonghong
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (9-10) : 1293 - 1301
[32] Second order three-point boundary value problems in abstract spaces
Cichon, Mieczyslaw
Salem, Hussein A. H.
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (04): : 1131 - 1152
[33] Solutions of linear second order initial value problems by using Bernoulli polynomials
Napoli, Anna
[J]. APPLIED NUMERICAL MATHEMATICS, 2016, 99 : 109 - 120
[34] An Efficient Method for Solving Second-Order Fuzzy Order Fuzzy Initial Value Problems
Dallashi, Qamar
Syam, Muhammed I.
[J]. SYMMETRY-BASEL, 2022, 14 (06):
[35] A class of three-point boundary-value problems for second-order impulsive integro-differential equations in Banach spaces
Feng, Meiqiang
Pang, Huihui
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 64 - 82
[36] Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces
Zhang, Xuemei
Feng, Meiqiang
Ge, Weigao
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (08) : 1915 - 1926
[37] On well-posedness of an initial value problem for nonlinear second-order impulsive integro-differential equations of Volterra type in Banach spaces
Liu, LS
Wu, YH
Zhang, XG
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (02) : 634 - 649
[38] Laguerre-Gauss collocation method for initial value problems of second order ODEs
Yan, Jian-ping
Guo, Ben-yu
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2011, 32 (12) : 1541 - 1564
[39] Solving second order initial value problems by a hybrid multistep method without predictors
Jator, S. N.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) : 4036 - 4046
[40] Laguerre-Gauss collocation method for initial value problems of second order ODEs
严建平
郭本瑜
[J]. Applied Mathematics and Mechanics(English Edition), 2011, 32 (12) : 1541 - 1564

← 1 2 3 4 5 →