First-order nonlinear dynamic initial value problems

IF 0.2 Q4 MATHEMATICS, APPLIED

International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-08-12 DOI:10.1504/ijdsde.2021.10040295

M. Bohner, Sanket Tikare, I. Santos

引用次数: 6

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.

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一阶非线性动态初值问题

我们证明了一阶动态初值问题解的三个存在性定理，包括相应的连续和离散情况。主要工具是不动点定理和动态不等式。给出了另外两个结果，讨论了解对初始条件的依赖性以及解序列的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.