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Ulam–Hyers stability of elliptic partial differential equations in Sobolev spaces

Applied Mathematics and Computation, 2014
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András, Szilárd   +1 more
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Generalized Ulam–Hyers Stability Results: A Fixed Point Approach

2014
We show that a recent fixed point result in (Cadariu et al., Abstr. Appl. Anal., 2012) can be used to prove some generalized Ulam–Hyers stability theorems for additive Cauchy functional equation as well as for the monomial functional equation in β-normed spaces.
openaire   +1 more source

Ulam–Hyers Stability of Pantograph Hadamard Functional Fractional Stochastic Differential Equations

Mathematical Methods in the Applied Sciences
ABSTRACTIn this article, we investigate a specific class of pantograph Hadamard functional fractional stochastic differential equations (FSDEs), which incorporate both proportional time delays and fractional derivatives. By leveraging Schauder's fixed point theorem and the contraction mapping principle, we establish the existence and uniqueness of ...
Jun Li, Pusen Tang, Feng Liao, Lin Chen
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Ulam-Hyers-Rassias Stability for Semilinear Equations

The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2014
Jinrong Wang, Michal Feckan
openaire   +1 more source

On the Hyers–Ulam stability of the linear differential equation

Journal of Mathematical Analysis and Applications, 2011
Dorian Popa, Ioan Rasa
exaly  

Laplace transform and Hyers–Ulam stability of linear differential equations

Journal of Mathematical Analysis and Applications, 2013
Hamid Rezaei, Soon-Mo Jung
exaly  

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