Results 51 to 60 of about 1,494 (161)
Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations
Mathematics, 2022 In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian +2 more
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Mathematics, 2020 A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
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Ulam-Hyers stability for partial differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Summary: Using the weakly Picard operator technique, we will present Ulam-Hyers stability results for integral inclusions of Fredholm and Volterra type and for the Darboux problem associated to a partial differential inclusion.
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Demonstratio MathematicaIn 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 +2 more
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Ulam‐Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk [PDF]
Abstract and Applied Analysis, 2012 We prove the Ulam‐Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non‐linear cases. The fractional operators are taken in sense of Srivastava‐Owa operators.
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Existence and Stability of Ulam–Hyers for Neutral Stochastic Functional Differential Equations
Bulletin of the Iranian Mathematical Society, 2023 AbstractThe primary aim of this paper is to focus on the stability analysis of an advanced neural stochastic functional differential equation with finite delay driven by a fractional Brownian motion in a Hilbert space. We examine the existence and uniqueness of mild solution of $$ {\textrm{d}}\left[ {x}_{a}(s) + {\mathfrak {g}}(s, {x}_{a}(s - \omega (s)
Arunachalam Selvam +3 more
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Nonlinear analysis for Hilfer fractional differential equations
Franklin OpenIn this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
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Some Generalizations of Ulam‐Hyers Stability Functional Equations to Riesz Algebras [PDF]
Abstract and Applied Analysis, 2012 Badora (2002) proved the following stability result. Let ε and δ be nonnegative real numbers, then for every mapping f of a ring ℛ onto a Banach algebra ℬ satisfying | | f(x + y) − f(x) − f(y)|| ≤ ε and | | f(x · y) − f(x)f(y)|| ≤ δ for all x, y ∈ ℛ, there exists a unique ring homomorphism h : ℛ → ℬ such that | | f(x) − h(x)|| ≤ ε, x ∈ ℛ. Moreover, b ·
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Results in Applied MathematicsIn this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
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