Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales
Values of λ are determined for which there exist positive solutions of the system of dynamic equations, uΔΔ(t)+λa(t)f(v(Ã(t)))=0, vΔΔ(t)+λb(t)g(u(Ã(t)))=0, for t∈[0,1]T, satisfying the boundary conditions, u(0)=0=u(Ã2(1)), v(0)=0=v(Ã2(1)), where T is a time sc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2007/31640 |
| Summary: | Values of λ are determined for which there exist positive solutions of the system of dynamic equations, uΔΔ(t)+λa(t)f(v(Ã(t)))=0, vΔΔ(t)+λb(t)g(u(Ã(t)))=0, for t∈[0,1]T, satisfying the boundary conditions, u(0)=0=u(Ã2(1)), v(0)=0=v(Ã2(1)), where T is a time scale. A Guo-Krasnosel'skii fixed point-theorem is applied. |
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| ISSN: | 1687-1839 1687-1847 |