Results 51 to 60 of about 1,808 (121)
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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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.Water contamination is a crucial area of study that has drawn significant attention from researchers and environmentalists due to its profound impact on humans, animals, and plants. It is equally harmful as air and soil contamination and is closely linked to both.
Pasquini Fotsing Soh +4 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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The Life and Work of D.H. Hyers, 1913-1997 [PDF]
, 2006 The following is a sketch of the life and work of Donald Holmes Hyers, Professor Emeritus from the University of Southern California. The theorem put forth by Hyers in 1941 concerning linear functional equations has gained a great deal of interest over ...
Singleton, Brent D.
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This study investigates the existence, uniqueness, and stability of solutions to Riemann–Liouville fractional differential equations with fractional variable‐order and antiperiodic boundary conditions. By employing the Banach fixed point theorem, we establish conditions for the uniqueness of solutions, while Schauder’s fixed point theorem is used to ...
Mohammed Said Souid +6 more
wiley +1 more source
Stability of the Volterra Integrodifferential Equation [PDF]
, 2013 In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space ...
Janfada, Mohammad, Sadeghi, Gh.
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Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces
Journal of Mathematics, Volume 2025, Issue 1, 2025.In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U‐H) and generalized Ulam–Hyers (G‐U‐H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives and antiperiodic boundary conditions. We can divide this manuscript into six parts. The first section
Muthaiah Subramanian +3 more
wiley +1 more source
Fixed points and fuzzy stability of an additive-quadratic functional equation [PDF]
, 2013 Ministry of Education, Science and TechnologyThe fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al.
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this present work, we derive the solution of a quadratic functional equation and investigate the Ulam stability of this equation in Banach spaces using fixed point and direct techniques. Mainly, we examine the stability results in quasi‐β‐Banach spaces and quasi‐fuzzy β‐Banach spaces by means of direct method as well as quasi‐Banach spaces by means ...
Kandhasamy Tamilvanan +5 more
wiley +1 more source