Publicação: First-order nonlinear dynamic initial value problems
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Inderscience Enterprises Ltd
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Resumo
We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.
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time scales, dynamic equation, first-order nonlinear, existence, continuous dependence, fixed point theorems, dynamic inequalities
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Inglês
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International Journal Of Dynamical Systems And Differential Equations. Geneva: Inderscience Enterprises Ltd, v. 11, n. 3-4, p. 241-254, 2021.