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SOME STUDIES ON EULER-LAGRANGE QUARTIC FUNCTIONAL EQUATIONS IN β-NORMED SPACES

Year: 2025

Type: article

Abstract: In this paper, we study two types of Euler-Lagrange functional equations that map $ \jmath $ from normed spaces to $ \beta $-normed spaces using quartic functional equations. We will investigate the inequality under various transformations and perturbations using both fixed point and direct methods, to establish the Hyers-Ulam stability of quartic Euler-Lagrange functional equations.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240405

Authors: Jinyu Xia, Qi Liu, Yin Zhou, Zhiyong Rao, John Michael Rassias

Institutions: Anqing Normal University, National and Kapodistrian University of Athens

Language: English

Topic: Functional Equations Stability Results

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533726

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