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Integral Characterizations for Uniform Stability with Growth Rates in Banach Spaces
Axioms, 2021 The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution ...
Rovana Boruga +2 more
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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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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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Oscillation and stability of first-order delay differential equations with retarded impulses
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we study both the oscillation and the stability of impulsive differential equations when not only the continuous argument but also the impulse condition involves delay.
Başak Karpuz
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On Uniform Stability with Growth Rates of Stochastic Skew-Evolution Semiflows in Banach Spaces
Axioms, 2021 The main purpose of this paper is to study a more general concept of uniform stability in mean in which the uniform behavior in the classical sense is replaced by a weaker requirement with respect to some probability measure.
Tímea Melinda Személy Fülöp +2 more
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