Existence of solutions to a multi-point boundary value problem for a second order differential system via the dual least action principle

Yu Tian; John R. Graef; Lingju Kong; Min Wang

doi:10.3934/proc.2013.2013.759

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2013, Volume 2013: 759-769. Doi: 10.3934/proc.2013.2013.759 open access

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Existence of solutions to a multi-point boundary value problem for a second order differential system via the dual least action principle

1.
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
2.
Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403

Received: August 31, 2012

Published: October 2013

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Abstract

In this paper, by using the dual least action principle, the authors investigate the existence of solutions to a multi-point boundary value problem for a second-order differential system with $p$-Laplacian.

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Mathematics Subject Classification: Primary: 34B10, 34B15, 58E30.

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References

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