Results 51 to 60 of about 856 (156)
Exploring Stochastic Fractional Delay Integrodifferential System
Asia Pacific Journal of Mathematics. This study examines the system of stochastic fractional delay integrodifferential equations with Gaussian noise. We employ the Picard-Lindelof successive approximation scheme for existence and uniqueness.
M. L. Maheswari, Karthik Muthusamy
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Generalized practical stability results by perturbing Lyapunov functions
International Journal of Stochastic Analysis, Volume 9, Issue 1, Page 69-75, 1996., 1995 It is known that practical stability is neither stronger nor weaker than Lyapunov stability. In this paper we combine perturbing Lyapunov technique with stability in terms of two measures to obtain nonuniform practical stability results under weaker assumptions. We also use comparison methods to obtain these results.
Donna Stutson, A. S. Vatsala
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Global properties of virus dynamics with B-cell impairment
Open Mathematics, 2019 In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M. +2 more
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A Dynamic SIqIRV Mathematical model with Non-linear Force of Isolation, Infection and Cure
Nonautonomous Dynamical Systems, 2022 The Susceptible-Isolated-Infected-Recovered-Vaccinated (SIqIRV) deterministic model is examined in this paper. This model considers a nonlinear force of quarantine, infection and care, where vaccinated individuals lose their immunity after a period of ...
Chatzarakis G. E. +2 more
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Stability of nonlinear systems under constantly acting perturbations
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 273-278, 1995., 1995 In this paper, we investigate total stability, attractivity and uniform stability in terms of two measures of nonlinear differential systems under constant perturbations. Some sufficient conditions are obtained using Lyapunov′s direct method. An example is also worked out.
Xinzhi Liu, S. Sivasundaram
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Estimates for Solutions of Differential Equations in a Banach Space via Commutators
Nonautonomous Dynamical Systems, 2018 In a Banach space we consider the equation dx(t)/dt = (A + B(t))×(t) (t ≥ 0), where A is a constant bounded operator, and B(t) is a bounded variable operator.Norm estimates for the solutions of the considered equation are derived in terms of the ...
Gil’ Michael
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Qualitative Analysis of Nonconvolution Volterra Summation Equations
International Journal of Differential Equations, 2019 This paper is first in a series of papers in which we consider the vector nonconvolution Volterra summation equation x(t) = a(t)− t−1 ∑ s=0 C(t, s)x(s), t ∈ Z where x and a are k-vectors, k ≥ 1, while C is an k × k matrix.
Y. Raffoul
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Razumikhin′s method in the qualitative theory of processes with delay
International Journal of Stochastic Analysis, Volume 8, Issue 3, Page 233-247, 1995., 1995 B.S. Razumikhin′s concept in the qualitative theory of systems delay is clarified and discussed. Various ways of improvements of stability conditions are considered. The author shows that the guiding role of Lyapunov functions and demonstrates Razumikhin′s method as a practical case of continuous version of the mathematical induction.
Anatoly D. Myshkis
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Abstract and Applied AnalysisMSC2020 Classification: 92D30, 37N25, 34D20, 92B05 ...
Philip N. A. Akuka +2 more
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Analysis of a hyperbolic geometric model for visual texture perception
Journal of Mathematical Neuroscience, 2011 We study the neural field equations introduced by Chossat and Faugeras to model the representation and the processing of image edges and textures in the hypercolumns of the cortical area V1.
Grégory Faye, P. Chossat, O. Faugeras
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