Bohner, MartinTikare, SanketSantos, Iguer Luis Domini dos [UNESP]2022-04-282022-04-282021-01-01International Journal Of Dynamical Systems And Differential Equations. Geneva: Inderscience Enterprises Ltd, v. 11, n. 3-4, p. 241-254, 2021.1752-3583http://hdl.handle.net/11449/218657We 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.241-254engtime scalesdynamic equationfirst-order nonlinearexistencecontinuous dependencefixed point theoremsdynamic inequalitiesArtigoWOS:000692768600003