Stabilities and instabilities of Euler-Lagrange cubic functional equation

被引：0

作者：

Ganapathy, G. ^{[1
]}

Sakthi, R. ^{[2
]}

Karthikeyan, S. ^{[3
]}

Vijaya, N. ^{[4
]}

Suresh, M. ^{[1
]}

Venkataramanan, K. ^{[5
]}

机构：

[1] RMD Engn Coll, Dept Math, Kavaraipettai 601206, Tamil Nadu, India

[2] RMK Coll Engn & Technol, Dept Sci & Humanities, Puduvoyal 601206, Tamil Nadu, India

[3] RMK Engn Coll, Dept Math, Kavaraipettai 601206, Tamil Nadu, India

[4] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India

[5] Takshashila Univ, Dept Math, Tindivanam 604305, Tamil Nadu, India

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2024年 / 35卷 / 01期

关键词：

Cubic functional equation; Banach spaces; paranormed spaces; Hyers-Ulam stability; ULAM-RASSIAS STABILITY;

D O I：

10.22436/jmcs.035.01.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article provides the solution and Hyers-Ulam stability results of the following Euler-Lagrange cubic functional equation (a - b) [(a + b)(3) f ) (bx + ay/b + a) + (b - a)(3) f(bx - ay/b - a)] + (a + b) [(a + b)(3) f(ax + by/a + b) + (a - b)(3) f(ax - by/a - b)] = ab(a(2) + b(2))[f(x + y) + f(x - y)] + 2 (a(4) - b(4)) f(x), a not equal b; a, b not equal 0, in Banach spaces and paranormed spaces using the direct method with suitable counterexample.

引用

页码：82 / 95

页数：14

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