Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals

被引：0

作者：

Mavridis, Kyriakos G. ^{[1
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

ANNALES POLONICI MATHEMATICI | 2014年 / 112卷 / 03期

关键词：

boundary value problems; positive solutions; conditions involving functionals; Krasnosel'skii fixed point theorem; EQUATIONS;

D O I：

10.4064/ap112-3-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give conditions which guarantee the existence of positive solutions for a variety of arbitrary order boundary value problems for which all boundary conditions involve functionals, using the well-known Krasnosel'skii fixed point theorem. The conditions presented here deal with a variety of problems, which correspond to various functionals, in a uniform way. The applicability of the results obtained is demonstrated by a numerical application.

引用

页码：313 / 327

页数：15

共 14 条

[1] Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions [J].

Cabada, Alberto ;

Thompson, Bevan .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (18) :7198-7209

[2]

Darovskaya K. A., 2011, J MATH SCI N Y, V179, P437, DOI DOI 10.1007/S10958-011-0602-5

[3] FAMILIES OF BOUNDARY-CONDITIONS FOR NONLINEAR ORDINARY DIFFERENTIAL-EQUATIONS [J].

ELOE, PW ;

HENDERSON, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1985, 9 (06) :631-638

[4] Fourth-order problems with nonlinear boundary conditions [J].

Franco, D ;

O'Regan, D ;

Perán, J .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 174 (02) :315-327

[5] Third order boundary value problems with nonlocal boundary conditions [J].

Graef, John R. ;

Webb, J. R. L. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) :1542-1551

[6]

Guo D., 1988, NONLINEAR PROBLEMS A

[7]

Infante G, 2010, MATH BOHEM, V135, P113

[8] Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions [J].

Jankowski, Tadeusz .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) :913-923

[9]

KARAKOSTAS GL, 2002, TOPOL METHOD NONL AN, V19, P109

[10]

Krasnoselskii MA., 1964, POSITIVE SOLUTIONS O

← 1 2 →