THE METHOD OF UPPER AND LOWER SOLUTIONS FOR SECOND ORDER DIFFERENTIAL INCLUSIONS WITH INTEGRAL BOUNDARY CONDITIONS

被引：25

作者：

Benchohra, Mouffak ^{[1
]}

Hamani, Samira ^{[1
]}

Nieto, Juan J. ^{[2
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, Sidi Bel Abbes 22000, Algeria

[2] Univ Santiago de Compostela, Dept Anal Matemat, Fac Matemat, Santiago De Compostela 15782, Spain

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 01期

关键词：

Differential inclusion; boundary value problem; integral boundary conditions; lower and upper solution; truncation map; fixed point; MONOTONE METHOD; EQUATIONS; 1ST-ORDER; OPERATORS; EXISTENCE; SYSTEMS;

D O I：

10.1216/RMJ-2010-40-1-13

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence of solutions of second order differential inclusion with integral boundary conditions. We rely on the nonlinear alternative of Leray-Schauder combined with the lower and upper solutions method.

引用

页码：13 / 26

页数：14

共 36 条

[1] CELLULAR-SYSTEMS AND AGING MODELS [J].

ADOMIAN, G ;

ADOMIAN, GE .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1985, 11 (1-3) :283-291

[2] Differential inclusions on proximate retracts of separable Hilbert spaces [J].

Agarwal, Ravi P. ;

O'Regan, Donal .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (03) :765-781

[3]

[Anonymous], FAR E J MATH SCI

[4]

Aubin J.P., 1990, SET VALUED ANAL, DOI 10.1007/978-0-8176-4848-0

[5]

Aubin J.P., 1984, DIFFERENTIAL INCLUSI

[6] Spectral singularities of Klein-Gordon s-wave equations with an integral boundary condition [J].

Bairamov, E ;

Karaman, Ö .

ACTA MATHEMATICA HUNGARICA, 2002, 97 (1-2) :121-131

[7]

Benchohra M, 2005, MATH INEQUAL APPL, V8, P71

[8]

Benchohra M, 2005, DYNAM SYST APPL, V14, P57

[9]

Benchohra M, 2002, DYN SYST APPL, V11, P13

[10]

Benchohra M, 2006, J APPL MATH STOCH AN, V2006, P1

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