Eigenvalue problems for systems of nonlinear boundary value problems on time scales
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Date
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Benchohra, M.
Henderson, J.
Ntouyas, S. K.
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SpringerOpen
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peer reviewed
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Advances in Difference Equations
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Values of. are determined for which there exist positive solutions of the system of dynamic equations, u(Delta Delta)(t) + lambda a(t) f(v(sigma(t))) = 0, v(Delta Delta)(t) + lambda b(t)g(u(s(t))) = 0, for t is an element of[0,1](T), satisfying the boundary conditions, u(0) = 0 = u(sigma(2)(1)), v(0) = 0 = v(sigma(2)(1)), where T is a time scale. A Guo- Krasnosel'skii fixed point- theorem is applied. Copyright (c) 2007.
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Keywords
ordinary differential-equations, multiple positive solutions, quasi-linear systems, measure chain, existence
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<Go to ISI>://000252948700001
http://www.advancesindifferenceequations.com/content/pdf/1687-1847-2007-031640.pdf
http://www.advancesindifferenceequations.com/content/pdf/1687-1847-2007-031640.pdf
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών