Existence and uniqueness of solution to nonlinear second-order distributional differential equations

Authors : Feng CHEN, Guoju YE, Wei LİU, Dafang ZHAO

Pages : 170-179

Doi:10.15672/HJMS.2019.670

View : 23 | Download : 11

Publication Date : 2020-02-06

Article Type : Research Paper

Abstract :The aim of this paper is to obtain solutions in terms of regulated functions to second-order distributional differential equations for Dirichlet problem. Existence and uniqueness theorems are established by using Schaefer`s fixed point theorem and Banach`s contraction mapping principle. Examples are given to demonstrate that the results are nontrivial.
Keywords : Regulated functions, Functions of bounded variation, Distributional differential equation, Schaefers fixed point theorem, Banachs contraction mapping principle