Results 101 to 110 of about 107,297 (248)

Hyers-Ulam Stability of Pompeiu's Point

open access: yesKyungpook mathematical journal, 2015
In this paper, we investigate the stability of Pompeiu's points in the sense of Hyers-Ulam.
Jinghao Huang, Yongjin Li
openaire   +3 more sources

Global Stability with Lyapunov Function and Dynamics of SEIR‐Modified Lassa Fever Model in Sight Power Law Kernel

open access: yesComplexity, Volume 2024, Issue 1, 2024.
Lassa fever is an acute viral hemorrhagic disease that affects humans and is endemic in various West African nations. In this study, a fractional‐order model is constructed using the Caputo operator for SEIR‐type Lassa fever transmission, including the control strategy.
Muhammad Farman   +3 more
wiley   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

open access: yesDemonstratio Mathematica
In 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
doaj   +1 more source

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

open access: yesJournal of Inequalities and Applications, 2022
We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle.
Mohamed Houas   +3 more
doaj   +1 more source

Stability of rotating supermassive stars in presence of dark matter background [PDF]

open access: yes, 1997
Stability of supermassive stars embedded in hot dark matter is investigated on the base of the energetic method. Stability effect of dark mater is compared with rotational stabilization and preference of the last factor is advocated.
arxiv   +1 more source

Hyers-Ulam Stability of Bessel Equations

open access: yes, 2018
We analyse different kinds of stabilities for the Bessel equation and for the modified Bessel equation with initial conditions. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $ $-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations. Those sufficient conditions are obtained based on the use of integral techniques
Castro, L. P., Simões, A. M.
openaire   +2 more sources

On the Hyers-Ulam Stability of ψ-Additive Mappings

open access: yesJournal of Approximation Theory, 1993
AbstractLet E1 be a real normed vector space and E2 a real Banach space. S. M. Ulam posed the problem: When does a linear mapping near an approximately additive mapping ƒ: E1 → E2 exist? We give a new generalized solution to Ulam′s problem for ψ-additive mappings. Some relations with the asymptotic differentiability are also indicated.
Themistocles M. Rassias, George Isac
openaire   +2 more sources

The Sequential Conformable Langevin‐Type Differential Equations and Their Applications to the RLC Electric Circuit Problems

open access: yesJournal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this paper, the sequential conformable Langevin‐type differential equation is studied. A representation of a solution consisting of the newly defined conformable bivariate Mittag‐Leffler function to its nonhomogeneous and linear version is obtained via the conformable Laplace transforms’ technique. Also, existence and uniqueness of a global solution
M. Aydin, N. I. Mahmudov, Waleed Adel
wiley   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

open access: yesAdvances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan   +3 more
doaj   +1 more source

Hyers–Ulam–Rassias Stability of an Equation of Davison

open access: yesJournal of Mathematical Analysis and Applications, 1999
AbstractIn this work the Hyers–Ulam–Rassias stability of the Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y) is proved.
Prasanna K. Sahoo, Soon-Mo Jung
openaire   +2 more sources

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