Second order systems with nonlinear nonlocal boundary conditions

Jean Mawhin; Bogdan Przeradzki; Katarzyna Szymańska‐Dȩbowska

doi:10.14232/ejqtde.2018.1.56

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Second order systems with nonlinear nonlocal boundary conditions

Jean Mawhin Bogdan Przeradzki Katarzyna Szymańska‐Dȩbowska

Year: 2018 Journal: Electronic journal of qualitative theory of differential equations Pages: 1-11 Publisher: University of Szeged

DOI: 10.14232/ejqtde.2018.1.56

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Abstract

This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some known results with linear nonlocal boundary conditions.

Keywords:

Mathematics Nonlinear system Order (exchange) Boundary (topology) Applied mathematics Mathematical analysis Physics Business

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Differential Equations and Boundary Problems

Physical Sciences → Mathematics → Applied Mathematics

Differential Equations and Numerical Methods

Physical Sciences → Mathematics → Numerical Analysis

Nonlinear Differential Equations Analysis

Physical Sciences → Mathematics → Applied Mathematics

Second order systems with nonlinear nonlocal boundary conditions

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