Feng CHEN, Guoju YE, Wei LİU, Dafang ZHAO

Existence and uniqueness of solution to nonlinearsecond-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 uniquenesstheorems are established by using Schaefer’s fixed point theorem and Banach’s contractionmapping principle. Examples are given to demonstrate that the results are nontrivial.

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