EXISTENCE OF THE POSITIVE SOLUTION FOR THE NONLINEAR SYSTEM OF SUSPENSION BRIDGE EQUATIONS

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Published: Aug 15, 2008
DOI: https://doi.org/10.14403/jcms.2008.21.3.339
Keywords:
system of suspension bridge equations, Dirichlet boundary condition, periodic condition, eigenvalue problem
Mathematics Subject Classification (2020):
Primary 35Q72

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Tacksun Jung
Department of Mathematics, Kunsan National University
Q-Heung Choi
Department of Mathematics Education, Inha University

Abstract





We prove the existence of the positive solution for the nonlinear system of suspension bridge equations with Dirichlet boundary condition and periodic condition (cid:26) utt + uxxxx +av+ = 1 + (cid:15)1h1(x, t) vtt + vxxxx +bu+ = 1 + (cid:15)2h2(x, t)





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Article Details

Issue
Vol. 21 No. 3 (2008)
Section
Articles