Results 61 to 70 of about 1,382 (134)
Hyers--Ulam Stability of Mean Value Points
Annals of Functional Analysis, 2010 The authors consider a few problems concerning the stability for Lagrange's and Flett's mean value points. The first result reads as follows. Let \(f:\mathbb{R}\to\mathbb{R}\) be a continuously twice differentiable mapping and let \(\eta\in(a,b)\) be a unique Lagrange's mean value point of \(f\) in \((a,b)\) (i.e., \(f'(\eta)=\frac{f(b)-f(a)}{b-a ...
Găvruţă, Pasc +2 more
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Exploring Ecological Dynamics and Bifurcation Structure of a Prey–Predator Model
Complexity, Volume 2026, Issue 1, 2026.The present work examines the dynamical features of a discrete‐time Rosenzweig–MacArthur predator–prey system in which the predation rate is modulated by prey density. Through a combination of theoretical derivations and computational experiments, we establish the occurrence of period‐doubling (PD) and Neimark–Sacker (NS) bifurcations, both of which ...
M. D. Mutakabbir Khan +3 more
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Study of implicit delay fractional differential equations under anti-periodic boundary conditions
Advances in Difference Equations, 2020 This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali +2 more
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Results in Physics, 2022 This paper aims to establish conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives.
Reny George +4 more
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ON HYERS-ULAM STABILITY OF THE PEXIDER EQUATION
Demonstratio Mathematica, 2004 The following result is proved. Theorem: Let \((S,+)\) be a commutative semigroup and let \(X\) be a~sequentially complete linear topological Hausdorff space. Assume that \(V\) is a sequentially closed, bounded, convex and symmetric with respect to zero subset of \(X\).
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On a modified Hyers‐Ulam stability of homogeneous equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, a generalized Hyers‐Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖f(yx) − ykf(x)‖ ≤ φ(x, y) under suitable conditions, there exists a unique mapping T satisfying T(yx) = ytT(x) and ‖T(x) − f(x)‖ ≤ Φ(x).
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Complexity, Volume 2026, Issue 1, 2026.The fractional Belousov–Zhabotinsky system (BZS) is an important reaction–diffusion model used to describe oscillatory chemical reactions, pattern formation, and memory‐dependent dynamical processes arising in chemistry and related applied sciences. The main objective of this study is to investigate the analytical properties of the fractional BZS and ...
Faten H. Damag +5 more
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Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman +4 more
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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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Generalized Ulam’s Stability of Delayed Discrete System With Second‐Order Differences
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This work explores generalized Ulam‐type stability for a family of time‐lag discrete systems governed by two‐order difference operators. First and foremost, we put forward strict mathematical formulations of Hyers–Ulam‐based generalized stability adapted to the above‐mentioned two‐order time‐delay discrete frameworks, which expand existing stability ...
Maosong Yang +3 more
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