Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions | Zendy

Qi Wang | Zendy; Yanping Guo | Zendy; Yude Ji | Zendy

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Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions

Author(s) -

Qi Wang,

Yanping Guo,

Yude Ji

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/684962

Subject(s) - mathematics , boundary value problem , cone (formal languages) , fixed point theorem , mathematical analysis , nonlinear system , class (philosophy) , order (exchange) , differential equation , green's function , function (biology) , integral equation , physics , computer science , finance , algorithm , quantum mechanics , artificial intelligence , evolutionary biology , economics , biology

This paper investigates the existence and nonexistence of positive solutions for a class of fourth-order nonlinear differential equation with integral boundary conditions. The associated Green's function for the fourth-order boundary value problems is first given, and the arguments are based on Krasnoselskii's fixed point theorem for operators on a cone

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