Feng CHEN, Guoju YE, Wei LİU, Dafang ZHAO

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

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, Schaefer’s fixed point theorem, Banach’s contraction mapping principle,

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