Abstract
A Krasnoselskii type compression-expansion fixed point theorem is adapted for the treatment of systems of semi-Unear equations. The compression-expansion conditions are given componentwise which allows the nonlinear term of a system to have different behaviors both in components and in variables. Applications to boundary value problems for systems of second order differential equations are included.
Authors
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
nonlinear boundary value problem; differential system; positive solution; fixed point; cone.
Paper coordinates
R. Precup, Componentwise compression-expansion conditions for systems of nonlinear operator equations and applications, AIP Conference Proceedings vol. 1124, Mathematical Models in Engineering, Biology and Medicine: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine, Santiago de Compostela (Spain), 16 -19 September 2008, ISBN: 978-0-7354-0660-5, Eds.: A. Cabada, E. Liz, J.J. Nieto, 284-293, https://doi.org/10.1063/1.3142943
About this paper
Journal
AIP Conference Proceedings
Publisher Name
American Institute of Physics (AIP)
ISBN
978-0-7354-0660-5
Online ISSN
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