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Existence of solutions to boundary value problems for dynamic systems on time scales |
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| Authors: | P. Amster |
| Affiliation: | a Departamento de Matemática, Universidad de Buenos Aires and CONICET, Buenos Aires, Argentina b Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, The University of New South Wales, Sydney 2052, Australia c School of Mathematics, The University of New South Wales, Sydney 2052, Australia |
| Abstract: | Here, we investigate systems of boundary value problems for dynamic equations on time scales. Using a generalized relationship between the boundary conditions and a certain subset of the solution space, the existence of solutions is established through topological arguments. The main tools used are Leray-Schauder and Brouwer degree theory. |
| Keywords: | Time scales Boundary value problem Existence of solutions Topological methods |
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