Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EIGENVALUE PROBLEMS FOR SYSTEMS OF NONLINEAR HIGHER ORDER BOUNDARY VALUE PROBLEMS

  • Rao, A. Kameswara (Department of Applied Mathematics, Andhra University) ;
  • Rao, S. Nageswara (Department of Mathematics, Sri Prakash College of Engineering)
  • Received : 2009.09.04
  • Accepted : 2009.10.12
  • Published : 2010.05.30
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Abstract

Values of the parameter $\lambda$ are determined for which there exist positive solutions of the system of boundary value problems, $u^{(n)}+{\lambda}p(t)f(\upsilon)=0$, $\upsilon^{(n)}+{\lambda}q(t)g(u)=0$, for $t\;{\in}\;[a,b]$, and satisfying, $u^{(i)}(a)=0$, $u^{(\alpha)}(b)=0$, $\upsilon^{(i)}(a)=0$, $\upsilon^{(\alpha)}(b)=0$, for $0\;{\leq}\;i\;{\leq}\;n-2$ and $1\;{\leq}\;\alpha\;\leq\;n-1$ (but fixed). A well-known Guo-Krasnosel'skii fixed point theorem is applied.

Keywords

References

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