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1997 Infinitely many solutions of weakly coupled superlinear systems
Marc Henrard
Adv. Differential Equations 2(5): 753-778 (1997).

Abstract

We study weakly coupled superlinear systems with different boundary conditions. The boundary conditions that we consider are the Sturm-Liouville and the three-point boundary conditions. We first prove a continuation theorem based on coincidence degree and explain how to compute the degree for some simple scalar differential equations. Then we apply those results to prove the existence of infinitely many solutions to the weakly coupled system.

Citation

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Marc Henrard. "Infinitely many solutions of weakly coupled superlinear systems." Adv. Differential Equations 2 (5) 753 - 778, 1997.

Information

Published: 1997
First available in Project Euclid: 22 April 2013

zbMATH: 1023.34501
MathSciNet: MR1751426

Subjects:
Primary: 34B15
Secondary: 34B10, 47H11

Rights: Copyright © 1997 Khayyam Publishing, Inc.

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Vol.2 • No. 5 • 1997
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