Classical stabilities of an inverse fourth power functional equation

被引：6

作者：

Dutta, Hemen ^{[1
]}

Kumar, B. V. Senthil ^{[2
]}

机构：

[1] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India

[2] Nizwa Coll Technol, Dept Informat Technol, Nizwa 611, Oman

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2019年 / 22卷 / 07期

关键词：

Reciprocal functional equation; Quartic functional equation; Ulam-Hyers stability; non-Archimedean field;

D O I：

10.1080/09720502.2019.1706836

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The analysis of stability results of different multiplicative inverse functional equations is an emerging trend in the research field of fundamental stability of equations emanated through the query of Ulam. This paper focuses on proving various classical stabilities of a new inverse fourth power functional equation connected with stability problems in the setting of fields that do not satisfy Archimedean property. The solution of the equation dealt in this study is interpreted with the intensity of scattered light and decay of radar energy in physics.

引用

页码：1061 / 1070

页数：10

共 21 条

[1]

Alshybani S, 2018, J INEQUAL SPEC FUNCT, V9, P8

[2]

[Anonymous], 2004, Problems in modern mathematics

[3]

[Anonymous], 1991, International Journal of Mathematics and Mathematical Sciences, DOI 10.1155/S016117129100056X

[4]

Bodaghi A., 2015, [Proceedings of the Jangjeon Mathematical Society, Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)], V18, P313

[5]

Bodaghi A., 2017, Mathematica, V59, P3

[6] Geometrical Elucidations and Approximation of some Functional Equations in Numerous Variables [J].

Dutta, Hemen ;

Kumar, B. V. Senthil .

PROCEEDINGS OF THE INDIAN NATIONAL SCIENCE ACADEMY, 2019, 85 (03) :603-611

[7] Approximation on the reciprocal functional equation in several variables in matrix non-Archimedean random normed spaces [J].

Ebadian, Ali ;

Zolfaghari, Somaye ;

Ostadbashi, Saeed ;

Park, Choonkil .

ADVANCES IN DIFFERENCE EQUATIONS, 2015,

[8] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS [J].

GAVRUTA, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :431-436

[9] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

[10]

Kim S. O., 2017, ADV DIFFER EQU-NY, V77

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