Results 81 to 90 of about 3,088,117 (225)
Stability of Partial Differential Equations by Mahgoub Transform Method
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential
Harun Biçer
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Stability analysis of dynamical regimes in nonlinear systems with discrete symmetries
, 2005 We present a theorem that allows to simplify linear stability analysis of periodic and quasiperiodic nonlinear regimes in N-particle mechanical systems (both conservative and dissipative) with different kinds of discrete symmetry. This theorem suggests a
G. M. Chechin +11 more
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Fixed Point Theory and the Ulam Stability [PDF]
Journal of Function Spaces, 2014 The fixed point method has been applied for the first time, in proving the stability results for functional equations, by Baker (1991); he used a variant of Banach's fixed point theorem to obtain the stability of a functional equation in a single variable. However, most authors follow the approaches involving a theorem of Diaz and Margolis.
Janusz Brzdęk +2 more
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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 +3 more
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Innovative Approaches to Modelling and Forecasting in Fisheries: A Critical Review
Aquaculture, Fish and Fisheries, Volume 6, Issue 1, February 2026.ABSTRACT Fisheries management increasingly demands robust forecasting tools to address growing environmental variability, anthropogenic pressures and complex ecological dynamics. This review systematically examines innovative modelling and forecasting approaches in fisheries, focusing on their descriptions, applications, strengths and limitations and ...
Mohammad Abu Baker Siddique +5 more
wiley +1 more source
On stability for nonlinear implicit fractional differential equations
Le Matematiche, 2015 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
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Advances in Differential Equations, 2020 The work reported in this paper deals with the study of a coupled system for fractional terminal value problems involving ψ-Hilfer fractional derivative. The existence and uniqueness theorems to the problem at hand are investigated.
Mohammed S Abdo +3 more
semanticscholar +1 more source
Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems [PDF]
, 2019 In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is based on a new version of the Perov
Blouhi, Tayeb +2 more
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On a general Hyers‐Ulam stability result
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we prove two general theorems about Hyers‐Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
Costanz Borelli, Gian Luigi Forti
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Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations
Qualitative Theory of Dynamical Systems, 2021 We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.
Maryam A. Alghamdi +3 more
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