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Existence of solutions to boundary value problems for dynamic systems on time scales. (English) Zbl 1085.34013

Authors’ abstract: 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 are Leray-Schauder and Brouwer degree theory.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
47H11 Degree theory for nonlinear operators
39A12 Discrete version of topics in analysis
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