First-order nonlinear dynamic initial value problems
by Martin Bohner; Sanket Tikare; Iguer Luis Domini Dos Santos
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 11, No. 3/4, 2021

Abstract: 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.

Online publication date: Wed, 01-Sep-2021

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