Results 11 to 20 of about 1,494 (161)

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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Aboodh transform and the stability of second order linear differential equations

Advances in Difference Equations, 2021
In this paper, we introduce a new integral transform, namely Aboodh transform, and we apply the transform to investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability, Mittag-Leffler–Hyers–Ulam stability, and Mittag-Leffler–Hyers–Ulam–Rassias ...
Ramdoss Murali, Arumugam Ponmana Selvan, Choonkil Park, Jung Rye Lee   +3 more
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Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018
This paper considers Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. We establish sufficient conditions of Hyers-Ulam-Rassias stability and Hyers-Ulam stability for linear and semi-linear systems of differential
Maher Qarawani
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Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2021
In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon, Weerawat Sudsutad, Sotiris K. Ntouyas   +2 more
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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, Chang-Kwon Choi, Jongjin Kim   +2 more
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Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods

Journal of Function Spaces, 2021
The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via ...
Abdellatif Ben Makhlouf, Lassaad Mchiri, Mohamed Rhaima   +2 more
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Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

Advances in Difference Equations, 2020
Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo, Akbar Zada, Shaleena Shaleena, Manzoor Ahmad   +3 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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Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

Advances in Difference Equations, 2019
In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

On the Ulam-Hyers stability of a quadratic functional equation [PDF]

Journal of Inequalities and Applications, 2011
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Park Won-Gil, Bae Jae-Hyeong, Lee Sang-Baek   +2 more
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