Positive solutions of three-point nonlinear second order boundary value problem | Zendy

Youssef N‎. ‎Raffoul‎ | Zendy

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Positive solutions of three-point nonlinear second order boundary value problem

Author(s) -

Youssef N‎. ‎Raffoul‎

Publication year - 2002

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2002.1.15

Subject(s) - mathematics , order (exchange) , nonlinear system , value (mathematics) , boundary value problem , point (geometry) , mathematical analysis , multi point , statistics , geometry , physics , economics , finance , quantum mechanics

In this paper we apply a cone theoretic xed point theorem and obtain conditions for the existence of positive solutions to the three-point nonlinear second order boundary value problem u 00 (t) + a (t)f(u(t)) = 0; t 2 (0; 1) u(0) = 0; u ( ) = u(1); where 0 < < 1 and 0 < < 1 : AMS Subject Classications: 34B20.

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