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A constrained problem of state dependent pantograph functional equation constrained by its conjugate

Year: 2024

Type: article

Abstract: ‎In this paper‎, ‎we define the state-dependent pantograph functional equation and study the existence and uniqueness of its solution and prove some data dependence theorems‎, ‎then we investigate the existence of the solution of a constrained problem of the state-dependent pantograph functional equation constrained by its conjugate equation‎. ‎Moreover‎, ‎we demonstrate the continuous dependence of the solution‎. ‎We also examine the Hyres-Ulam stability of our problem‎.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.037.01.07

Authors: A‎. ‎M‎. ‎A‎. El-Sayed, E‎. ‎M‎. Al-Barg, H‎. ‎R‎. Ebead

Institutions: Alexandria University, Sirte University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402556644

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