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

Amaç & Hipotez:The aim of this paper is to obtain solutions in terms of regulated functions to second-order distributional differential equations for Dirichlet problem.

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Temel Bulgular & Veri:Existence and uniqueness theorems are established by using Schaefer's fixed point theorem and Banach's contraction mapping principle.

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Sonuç & Katkı:Examples are given to demonstrate that the results are nontrivial.

🔬Tür:Research Article

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler:Regulated functions · Functions of bounded variation · Distributional differential equation

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.

Anahtar kelimeler

Regulated functions Functions of bounded variation Distributional differential equation Schaefer’s fixed point theorem Banach’s contraction mapping principle

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Bu Makaleye Atıf Yap

Chen, F., Ye, G., Liu, W., Zhao, D. (2020). Existence and uniqueness of solution to nonlinear second-order distributional differential equations. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 1. https://doi.org/10.15672/HJMS.2019.670

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