First-order nonlinear dynamic initial value problems
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Data
2021-01-01
Autores
Bohner, Martin
Tikare, Sanket
Santos, Iguer Luis Domini dos [UNESP]
Título da Revista
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Editor
Inderscience Enterprises Ltd
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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Palavras-chave
time scales, dynamic equation, first-order nonlinear, existence, continuous dependence, fixed point theorems, dynamic inequalities
Como citar
International Journal Of Dynamical Systems And Differential Equations. Geneva: Inderscience Enterprises Ltd, v. 11, n. 3-4, p. 241-254, 2021.