Results 11 to 20 of about 5,086 (192)
Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]
Mathematica Bohemica, 2017 In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
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Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
Complexity, 2019 In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
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Ulam-Hyers stability of a parabolic partial differential equation [PDF]
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
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Stability of Ulam–Hyers and Ulam–Hyers–Rassias for a class of fractional differential equations [PDF]
Advances in Difference Equations, 2020 AbstractIn this paper, we investigate a class of nonlinear fractional differential equations with integral boundary condition. By means of Krasnosel’skiĭ fixed point theorem and contraction mapping principle we prove the existence and uniqueness of solutions for a nonlinear system.
Qun Dai +3 more
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Ulam-Hyers stability of Darboux-Ionescu problem [PDF]
Carpathian Journal of Mathematics, 2021 In his doctoral thesis, D. V. Ionescu has considered Darboux problem for partial differential equations of order two with modified argument. The Darboux-Ionescu problem was studied in some general cases by I. A. Rus. In this paper we study Ulam-Hyers stability and Ulam-Hyers-Rassias stability for this problem considered by I. A. Rus, using inequalities
DANIELA MARIAN +2 more
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On coupled best proximity points and Ulam–Hyers stability [PDF]
Journal of Fixed Point Theory and Applications, 2020 For two nonempty, closed, bounded and convex subsets $A$ and $B$ of a uniformly convex Banach space $X$ consider a mapping $T:(A \times B) \cup (B \times A) \rightarrow A \cup B$ satisfying $T(A,B) \subset B$ and $T(B, A) \subset A$. In this paper the existence of a coupled best proximity point is established when $T$ is considered to be a p-cyclic ...
Gupta, Anuradha, Rohilla, Manu
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Ulam-Hyers Stability of Trigonometric Functional Equation with Involution [PDF]
Journal of Function Spaces, 2015 LetSandGbe a commutative semigroup and a commutative group, respectively,CandR+the sets of complex numbers and nonnegative real numbers, respectively, andσ:S→Sorσ:G→Gan involution. In this paper, we first investigate general solutions of the functional equationf(x+σy)=f(x)g(y)-g(x)f(y)for allx,y∈S, wheref,g:S→C.
Jaeyoung Chung +2 more
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On the Ulam-Hyers stability of a quadratic functional equation [PDF]
Journal of Inequalities and Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park Won-Gil +2 more
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Ulam-Hyers Stability for Operatorial Equations
Annals of the Alexandru Ioan Cuza University - Mathematics, 2011 Let \((X,d)\) be a metric space, \(\mathcal P(X):=\{Y\subset X\}\), \(P(X):=\{Y\in\mathcal P(X):Y\neq\emptyset\}\), \(D_d:P(X)\times P(X)\to\mathbb R_+\) the gap functional, given by \[ D_d(A,B)=\inf\left\{d(a,b):a\in A,\,b\in B\right\}, \] and let \(F:X\to P(X)\) be a multivalued operator.
Bota-Boriceanu, M. F., Petruşel, A.
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Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]
, 2006 The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
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