Tenth MSU Conference on Differential Equations and Computational Simulations. Electron. J. Diff. Eqns., Conference 23 (2016), pp. 35-45.

Solvability of nonlinear differential systems with coupled nonlocal boundary conditions

Jeongmi Jeong, Chan-Gyun Kim, Eun Kyoung Lee

Abstract:
This article shows the existence of at least one solution to nonlinear differential systems with coupled nonlocal boundary conditions on an infinite interval. Our main tool is the Alternative of Leray-Schauder.

Published March 21, 2016.
Math Subject Classifications: 34B10, 34B15, 34B40.
Key Words: Solvability; nonlocal boundary condition; $p$-Laplacian; half-line.

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Jeongmi Jeong
Department of Mathematics
Pusan National University
Busan 609-735, Korea
email: jmjeong321@gmail.com
Chan-Gyun Kim
Department of Mathematics Education
Pusan National University
Busan 609-735, Korea
email: cgkim75@gmail.com
Eun Kyoung Lee
Department of Mathematics Education
Pusan National University
Busan 609-735, Korea
email: eunkyoung165@gmail.com

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