Korean Journal of Mathematics
- Volume 16 Issue 3
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- Pages.389-402
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- 2008
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
MULTIPLE SOLUTIONS FOR A CLASS OF THE SYSTEMS OF THE CRITICAL GROWTH SUSPENSION BRIDGE EQUATIONS
- Jung, Tacksun (Department of Mathematics Kunsan National University) ;
- Choi, Q-Heung (Department of Mathematics Education Inha University)
- Received : 2008.08.08
- Published : 2008.09.30
Abstract
We show the existence of at least two solutions for a class of systems of the critical growth nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We first show that the system has a positive solution under suitable conditions, and next show that the system has another solution under the same conditions by the linking arguments.
Keywords
- System of the critical growth suspension bridge equations;
- linking arguments;
- eigenvalue of a matrix;
- boundary value problem