Bohner, MartinTikare, Sanketdos Santos, Iguer Luis Domini [UNESP]2022-04-292022-04-292021-01-01International Journal of Dynamical Systems and Differential Equations, v. 11, n. 3-4, p. 241-254, 2021.1752-35911752-3583http://hdl.handle.net/11449/229484We 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.241-254engContinuous dependenceDynamic equationDynamic inequalitiesExistenceFirst-order nonlinearFixed point theoremsTime scalesArtigo10.1504/IJDSDE.2021.1173582-s2.0-85114474654