Abstract
The paper gives a new and natural method for the existence of multiple positive solutions for first order differential systems with non-local initial value conditions involving linear functionals. The case of higher order differential equations is also considered. The results are accompanied by numerical examples confirming the theory and proving for practice the importance of the bounds in solution localization.
Authors
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Damian Trif
Department of Mathematics, Babeş–Bolyai University, 400084 Cluj, Romania
Keywords
Paper coordinates
R. Precup, D. Trif, Multiple positive solutions of non-local initial value problems for first order differential systems, Nonlinear Anal. 75 (2012), 5961-5970, http://doi.org/10.1016/j.na.2012.06.008
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About this paper
Journal
Nonlinear Analysis: Theory, Methods & Applications
Publisher Name
Elsevier
Print ISSN
Online ISSN
0362546X
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