Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions

Veronica Ilea, Adela Novac, Diana Otrocol and Radu Precup

Applied Mathematics and Computation, 2020, vol. 375, issue C

Abstract: Based on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern the role of the support of the nonlocal condition and the positivity of solutions which is only required on a prescribed subinterval. Several examples of problems admitting at least one, two, or sequences of such solutions are included, and numerical solutions are obtained using the Mathematica shooting program with starting initial conditions suggested by the theoretical localization results.

Keywords: Differential system; Nonlocal condition; Positive solution; Multiple solutions; Fixed point index (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:375:y:2020:i:c:s0096300320300618

DOI: 10.1016/j.amc.2020.125092

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