On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

被引：99

作者：

Atici, FM ^{[1
]}

Guseinov, GS ^{[1
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2001年 / 132卷 / 02期

关键词：

periodic boundary conditions; positive periodic solution; fixed-point theorem in cones;

D O I：

10.1016/S0377-0427(00)00438-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of positive solutions of second-order nonlinear differential equations on a finite interval with periodic boundary conditions and give upper and lower bounds for these positive solutions. Obtained results yield positive periodic solutions of the equation on the whole real axis, provided that the coefficients are periodic. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

收藏

页码：341 / 356

页数：16

相关论文

共 22 条

[1] Existence of positive solutions for non-positive higher-order BVPs [J].

Agarwal, RP ;

Wong, FH .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 88 (01) :3-14

[2] Positive periodic solutions for nonlinear difference equations with periodic coefficients [J].

Atici, FM ;

Guseinov, GS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 232 (01) :166-182

[3] Positive solutions of boundary-value problems for disfocal ordinary differential equations [J].

Eloe, PW .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 88 (01) :71-78

[4]

ELOE PW, 1995, ELECT J DIFFERENTIAL, V3, P1

[5] ON THE EXISTENCE OF POSITIVE SOLUTIONS OF ORDINARY DIFFERENTIAL-EQUATIONS [J].

ERBE, LH ;

WANG, HY .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) :743-748

[6] MULTIPLE POSITIVE SOLUTIONS OF SOME BOUNDARY-VALUE-PROBLEMS [J].

ERBE, LH ;

HU, SC ;

WANG, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :640-648

[7] MULTIPLE SOLUTIONS OF 2-POINT BOUNDARY-VALUE PROBLEMS OF ORDINARY DIFFERENTIAL-EQUATIONS IN BANACH-SPACES [J].

GUO, DJ ;

LAKSHMIKANTHAM, V .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 129 (01) :211-222

[8]

GUO DJ, 1988, NONLINEAR PROBLEMS

[9]

Guseinov G.Sh., 1985, SPECTRAL THEORY OPER, V6, P56

[10] Positive solutions for nonlinear eigenvalue problems [J].

Henderson, J ;

Wang, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 208 (01) :252-259