Results 1 to 10 of about 354,562 (267)
Uniform Stability of Nonlinear Difference Systems
Journal of Mathematical Analysis and Applications, 1998 The authors present sufficient conditions for the uniform stability and uniformly asymptotic stability of the zero solution of the difference equation \[ x(n+ 1)- \lambda x(n)+ f(n,x_n)= 0,\quad n\in\mathbb{N},\tag{1} \] where \(\lambda\in[0,1]\) and \(f\) is a functional depending on \(x_n\) defined by \(x_n(m):= x(n+ m)\) for \(-k\leq m\leq 0\), \(k ...
Zhou, Zhan, Zhang, Qinqin
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Qualitative analysis of a mechanical system of coupled nonlinear oscillators
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper we investigate nonlinear systems of second order ODEs describing the dynamics of two coupled nonlinear oscillators of a mechanical system. We obtain, under certain assumptions, some stability results for the null solution.
Gheorghe Moroșanu +1 more
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Mathematics, 2023 We propose a generalized multiscale finite element method combined with a balanced truncation to solve a parameter-dependent parabolic problem. As an updated version of the standard multiscale method, the generalized multiscale method contains the ...
Shan Jiang +3 more
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Axioms, 2023 This paper proposes new existence and uniqueness results for an initial value problem (IVP) of fractional differential equations of nonlinear variable order. Riemann–Liouville-type fractional derivatives are considered in the problem. The new fundamental
Hallouz Abdelhamid +3 more
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On Variable-Order Fractional Discrete Neural Networks: Existence, Uniqueness and Stability
Fractal and Fractional, 2023 Given the recent advances regarding the studies of discrete fractional calculus, and the fact that the dynamics of discrete-time neural networks in fractional variable-order cases have not been sufficiently documented, herein, we consider a novel class ...
Othman Abdullah Almatroud +5 more
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Uniform K-stability of polarized spherical varieties [PDF]
Épijournal de Géométrie Algébrique, 2023 We express notions of K-stability of polarized spherical varieties in terms of combinatorial data, vastly generalizing the case of toric varieties.
Thibaut Delcroix
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Stability of uniform shear flow [PDF]
Physical Review E, 1998 25 pages, 9 figures (Fig.8 is available on request) RevTeX, submitted to Phys.
Montanero, José María +4 more
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Axioms, 2021 The purpose of this paper is to investigate some qualitative properties of solutions of nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo fractional derivatives.
Osman Tunç +3 more
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Fractal and Fractional, 2022 In this paper, the problem of the uniform stability for a class of fractional-order fuzzy impulsive complex-valued neural networks with mixed delays in infinite dimensions is discussed for the first time.
Xin Liu, Lili Chen, Yanfeng Zhao
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Finite and Uniform Stability of Sphere Packings [PDF]
Discrete & Computational Geometry, 1998 The authors investigate how stable (in very natural settings) a sphere packing can be. A sphere packing is called finitely stable if for every integer \(n \geq 1\) each set of \(n\) balls is fixed by its neighbors, and uniformly stable if for a sufficiently small \(\varepsilon>0\) every finite rearrangement of the balls where no ball is moved more than
András Bezdek +2 more
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