HYERS-ULAM STABILITY OF K-FIBONACCI FUNCTIONAL EQUATION

被引：0

作者：

Bidkham, M. ^{[1
]}

Hosseini, M. ^{[1
]}

机构：

[1] Semnan Univ, Dept Math, POB 35195 363, Semnan, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2011年 / 2卷 / 01期

关键词：

Stability; Fibonacci functional equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let denote by F-k,F-n the nth k-Fibonacci number where Fk,n = kF(k,n-1)+ Fk, (n-2) for n >= 2 with initial conditions F-k,F-0 = 0, F-k,F-1 = 1, we may derive a functional equation f( k, x) = kf( k, x - 1) + f( k, x - 2). In this paper, we solve this equation and prove its Hyere- Ulam stability in the class of functions f : NxR -> X, where X is a real Banach space.

引用

页码：42 / 49

页数：8

共 50 条

[31] Hyers-Ulam and Hyers-Ulam-Rassias Stability for Linear Fractional Systems with Riemann-Liouville Derivatives and Distributed Delays
Kiskinov, Hristo
Madamlieva, Ekaterina
Zahariev, Andrey
AXIOMS, 2023, 12 (07)
[32] Hyers–Ulam Stability for a Type of Discrete Hill Equation
Douglas R. Anderson
Masakazu Onitsuka
Results in Mathematics, 2024, 79
[33] On Hyers-Ulam-Rassias stability of the Pexider equation
Jun, KW
Shin, DS
Kim, BD
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 239 (01) : 20 - 29
[34] Hyers-Ulam stability of non-autonomous and nonsingular delay difference equations
Rahmat, Gul
Ullah, Atta
Rahman, Aziz Ur
Sarwar, Muhammad
Abdeljawad, Thabet
Mukheimer, Aiman
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[35] Hyers-Ulam stability of ε-isometries between the positive cones of Lp-spaces
Sun, Longfa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 487 (02)
[36] On the Hyers-Ulam-Rassias Stability of an n-Dimensional Additive Functional Equation
Nakmahachalasint, P.
THAI JOURNAL OF MATHEMATICS, 2007, 5 (03): : 81 - 86
[37] THE GENERALIZED HYERS-ULAM STABILITY OF ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN 2-NORMED SPACE
Kim, Chang Il
Park, Se Won
KOREAN JOURNAL OF MATHEMATICS, 2014, 22 (02): : 339 - 348
[38] Fuzzy Hyers-Ulam approximation of a mixed AQ mapping
Kenary, Hassan Azadi
Talebzadeh, Saedeh
Rezaei, Hamid
Lee, Jung Rye
Shin, Dong Yun
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[39] Hyers-Ulam Stability of Second-Order Linear Dynamic Equations on Time Scales
Anderson, Douglas R.
Onitsuka, Masakazu
ACTA MATHEMATICA SCIENTIA, 2021, 41 (05) : 1809 - 1826
[40] ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS
Lee, Eun Gu
Chung, Jaeyoung
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 26 (02): : 261 - 271

← 1 2 3 4 5 →