Existence and Uniqueness of Solution to a Terminal Value Problem of First-Order Differential Equation-Reference-Cited by-同舟云学术

Existence and Uniqueness of Solution to a Terminal Value Problem of First-Order Differential Equation

Published:2022-08-26 Issue:9 Volume:11 Page:435
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Feng Yuqiang^ORCID,Pan Qian,Jiang Jun

Abstract

The terminal value problem of differential equations has an important application background. In this paper, we are concerned with the terminal value problem of a first-order differential equation. Some sufficient conditions are given to obtain the existence and uniqueness results of solutions to the problem. Firstly, some comparison lemmas are established; secondly, an iterative technique and fixed point method are used to set up the main results; Finally, an example is provided to illustrate the application of the main results.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/11/9/435/pdf

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