Theory and computation for multiple positive solutions of non-local problems at resonance

3 years ago

Abstract

Resonance non-positone and non-isotone problems for first order differential systems subjected to non-local boundary conditions are reduced to the non-resonance positone and isotone case by changes of variables. This allows us to prove the existence of multiple positive solutions. The theory is illustrated by two examples for which three positive numerical solutions are obtained using the Mathematica shooting program.

Authors

Adela Novac
Department of Mathematics, Technical University, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania

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

Keywords

Nonlinear ordinary differential equation; general boundary condition; positive solution; multiple solutions; numerical computation

Paper coordinates

A. Novac, R. Precup, Theory and computation for multiple positive solutions of non-local problems at resonance, Journal of Applied Analysis and Computation 8 (2018), 486-497, https://doi.org/10.11948/2018.486

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Journal of Applied Analysis and Computation

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DOI

https://doi.org/10.11948/2018.486

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