Results 251 to 260 of about 11,444 (271)

Hyers–Ulam Stability for a Coupled System of Fractional Differential Equation With p-Laplacian Operator Having Integral Boundary Conditions

Qualitative Theory of Dynamical Systems, 2022
H. Waheed, A. Zada, R. Rizwan, I. Popa
semanticscholar   +1 more source

Hyers–Ulam and Hyers–Ulam–Rassias Stability of Volterra Integral Equations with Delay

2009
Considerable attention has been given to the study of the Hyers–Ulam and Hyers–Ulam–Rassias stability of functional equations (see, e.g., [HIR98, Ju01]). The concept of stability for a functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the equation.
Alexandre Floriani Ramos, Luis P. Castro
openaire   +2 more sources

Investigating a Class of Nonlinear Fractional Differential Equations and Its Hyers-Ulam Stability by Means of Topological Degree Theory

Numerical Functional Analysis and Optimization, 2019
The aim of this article is to seek some adequate conditions via a prior estimate method (topological degree method) to derive the existence of solution to a nonlinear boundary value problem of fractional differential equations (FDEs).
K. Shah, Wajid Hussain
semanticscholar   +1 more source

On the Hyers–Ulam Stability of Bernoulli’s Differential Equation

Russian Mathematics
The aim of this paper is to present the results on the Hyers–Ulam–Rassias stability and the Hyers–Ulam stability for Bernoulli's differential equation. The argument makes use of a fixed point approach. Some examples are given to illustrate the main results.
Shah, R., Irshad, N.
openaire   +1 more source

Subadditive Multifunctions and Hyers-Ulam Stability

1987
A multifunction F from an Abelian semigroup (S,+) into the family of all nonempty closed convex subsets of a Banach space (X, ║·║) is called subadditive provided that F(x+y) ⊂ F(x) + F(y) for all x, y ∈ S. We show that if all the values of a subadditive multifunction F are uniformly bounded then F admits an additive selection, i.e. a homomorphism a: S →
Zbigniew Gajda, Roman Ger
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On Hyers— Ulam Stability of Hosszú’s Functional Equation

Results in Mathematics, 1994
Let \(Hf(x, y):= f(x+ y- xy)+ f(xy)- f(x)- f(y)\). The following result on Hyers-Ulam stability of the Hosszú equation \(Hf(x, y)= 0\) is proved: Let \(f: \mathbb{R}\to \mathbb{R}\) be a function satisfying \(|Hf(x, y)|\leq \delta\) for some \(\delta> 0\). There exists an additive function \(a: \mathbb{R}\to \mathbb{R}\) such that the difference \(f- a\
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Hyers–Ulam stability on local fractal calculus and radioactive decay

The European Physical Journal Special Topics, 2021
Alireza Khalili Golmankhaneh, C. Tunç, H. Şevli   +2 more
semanticscholar   +1 more source

On Hyers--Ulam stability of Wilson's functional equation

Aequationes Mathematicae, 2000
The paper investigates the stability problem for spherical functions in the Hyers-Ulam sense. Let \((G,+)\) be a topological abelian group and let \(K\) be a compact subgroup of automorphisms of G with the normalized Haar measure \(\mu\). Further, let the map \[ k\mapsto ky\in G,\qquad k\in K , \] where \(ky\) stands for the action of \(k\in K\) on \(y\
openaire   +3 more sources

Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform

Qualitative Theory of Dynamical Systems, 2022
Jiaojiao Lv, K. Kou, Jinrong Wang
semanticscholar   +1 more source

Hyers—Ulam stability of isometries on Banach spaces

Aequationes Mathematicae, 1999
The paper is a brief survey on the stability of isometries on real Banach spaces. An \(\varepsilon\)-isometry between two Banach spaces \(X,Y\) is a map \( f:X\to Y \) satisfying \( |\|f(x)-f(y)\|- \|x-y\||\leq \varepsilon, \forall x,y\in X.\) For an isometry \(U:X\to Y \) let dist\((f,U)=\inf\{\|f(x)-U(x)\|:x\in X\}.\) The paper is concerned with the ...
openaire   +2 more sources