Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition | Zendy

A. Guezane-Lakoud | Zendy; Nacira Hamidane | Zendy; Rabah Khaldi | Zendy

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Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition

Author(s) -

A. Guezane-Lakoud,

Nacira Hamidane,

Rabah Khaldi

Publication year - 2012

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2012/471975

Subject(s) - mathematics , fixed point theorem , uniqueness , contraction principle , boundary value problem , mathematical analysis , cone (formal languages) , contraction mapping , nonlinear system , order (exchange) , schauder fixed point theorem , picard–lindelöf theorem , pure mathematics , physics , finance , algorithm , quantum mechanics , economics

This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. Two examples are also given to illustrate the main results

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