Results 11 to 20 of about 5,043 (195)

Hyers–Ulam–Rassias stability of a linear recurrence

Journal of Mathematical Analysis and Applications, 2005
The author considers a linear recurrence \[ x_{n+1}=a_nx_n+b_n,\qquad n\geq 0,\;x_0\in X \] where \((x_n)\) is a sequence in a Banach space \(X\) and \((a_n)\), \((b_n)\) are given sequences of scalars and vectors in \(X\), respectively. Then, a stability result is proved: Suppose that \(\varepsilon>0\), \(| a| >1\) and an arbitrary sequence \((b_n ...
Dorian Popa
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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
doaj   +1 more source

Hyers‐Ulam Stability of Power Series Equations [PDF]

Abstract and Applied Analysis, 2011
We prove the Hyers‐Ulam stability of power series equation , whereanforn= 0, 1, 2, 3, … can be real or complex.
Bidkham, M., Soleiman Mezerji, H. A., Gordji, M. Eshaghi   +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
doaj   +1 more source

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
doaj   +1 more source

Условия Hyers—Ulam—Rassias-устойчивости семейств уравнений [PDF]

, 2017
Для семейства регуляризованных уравнений и семейства уравнений с причинным оператором получены достаточные условия Hyers—Ulam—Rassias-устойчивости.Для сімейства регуляризованих рівнянь і сімейства рівнянь з причинним оператором отримано достатні умови ...
Мартынюк, А.А.
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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

Hyers–Ulam stability of Euler’s equation

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cimpean, Dalia Sabina, Popa, Dorian
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Generalized Hyers–Ulam stability of ρ-functional inequalities

Journal of Inequalities and Applications, 2023
AbstractIn our research work generalized Hyers-Ulam stability of the following functional inequalities is analyzed by using fixed point approach: $$\begin{aligned}& \biggl\Vert f(2x+y)+f(2x-y)-2f(x+y)-2f(x-y)-12f(x) \\& \quad {}-\rho \biggl(4f\biggl(x+\frac{y}{2}\biggr)+4\biggl(f\biggl(x- \frac{y}{2}\biggr)-f(x+y)-f(x-y)\biggr)-6f(x),r\biggr) \
Nawaz, Sundas, Bariq, Abdul, Batool, Afshan, Akgul, Ali   +3 more
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Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type

Axioms, 2022
A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
doaj   +1 more source