Existence and uniqueness of solution to nonlinearsecond-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 uniquenesstheorems are established by using Schaefer’s fixed point theorem and Banach’s contractionmapping principle.

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

🔬Tür:Araştırma Makalesi

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler:Alan Parametreleri

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 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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Bu Makaleye Atıf Yap

CHEN, F., YE, G., LİU, W., ZHAO, D. (2022). Existence and uniqueness of solution to nonlinearsecond-order distributional differential equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 170–179. https://ajindex.com/articles/529676

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Kaynakça (1)

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