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.
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
nonlinear boundary value problem; differential system; positive solution; fixed point; cone.
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
AIP Conference Proceedings
American Institute of Physics (AIP)
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