Positive solutions of nonlinear systems via the vector version of Krasnoselskii’s fixed point theorem in cones

Abstract

The vector version of Krasnoselskii’s fixed point theorem in cones is used to obtain existence and localization results for the Dirichlet boundary value problem associated to second order ordinary differential systems with nonlinearities having different behaviors both in components and variables.

Authors

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

positive solution; differential system; boundary value problem; fixed point; cone.

Paper coordinates

R. Precup, Positive solutions of nonlinear systems via the vector version of Krasnoselskii’s fixed point theorem in cones, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 5 (2007), 129-138.

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Journal

Annals of the Tiberiu Popoviciu Seminar
of Functional Equations, Approximation and Convexity

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DOI
Print ISSN
Online ISSN

1584-4536

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