Results 51 to 60 of about 547 (94)

Stability of the Volterra Integrodifferential Equation [PDF]

, 2013
In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space ...
Janfada, Mohammad, Sadeghi, Gh.
core  

Generalized Polynomials on Semigroups

Annales Mathematicae Silesianae
This article has two main parts. In the first part we show that some of the basic theory of generalized polynomials on commutative semi-groups can be extended to all semigroups.
Ebanks Bruce
doaj   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

Pseudo almost periodic solutions of an iterative equation with variable coefficients

, 2017
In this paper, the exponential dichotomy, and Tikhonov and Banach fixed point theorems are used to study the existence and uniqueness of pseudo almost periodic solutions of nonhomogeneous iterative functional differential equations of the form x.t/ D 1.t/
Houyu Zhao, Michal Feckan
semanticscholar   +1 more source

On the stability of a Cauchy type functional equation

Demonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye, Najati Abbas, Park Choonkil, Rassias Themistocles M.   +3 more
doaj   +1 more source

On the Hyers-Ulam stability of approximately Pexider mappings

, 2008
In this paper we investigate the Hyers-Ulam stability of the Pexider functional equation f 1(x + y) + f 2(x + σ(y)) = f 3(x) + f 4(y), x, y ∈ E, where E is a normed space and σ : E −→ E is an involution.
B. Belaid, E. Elhoucien, T. Rassias
semanticscholar   +1 more source

On the Stability of Functional Equations with Square-Symmetric Operation

, 2001
In this paper, we obtain the modified Hyers-Ulam-Rassias stability for the family of functional equations f (x ◦ y) = H(f (x), f (y)) (x, y ∈ S) , where H is a homogeneous function and ◦ is a square-symmetric operation on the set S .
G. Kim
semanticscholar   +1 more source

Stability of Functional Equations and Properties of Groups

Annales Mathematicae Silesianae, 2019
Investigating Hyers–Ulam stability of the additive Cauchy equation with domain in a group G, in order to obtain an additive function approximating the given almost additive one we need some properties of G, starting from commutativity to others more ...
Forti Gian Luigi
doaj   +1 more source

The stability of high ring homomorphisms and derivations on fuzzy Banach algebras

Open Mathematics
In this article, we focus on exploring the fuzzy version of the Hyers-Ulam-Rassias stability of nn-ring homomorphisms and nn-ring derivations in the context of fuzzy Banach algebras. Our investigation utilizes the direct method.
Chen Lin, Luo Xiaolin
doaj   +1 more source

Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations

Scientific African, 2022
In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense.
Vediyappan Govindan, Samad Noeiaghdam, Unai Fernandez-Gamiz, Sagar Ningonda Sankeshwari, R. Arulprakasam, Bing Zhao Li   +5 more
doaj