Results 11 to 20 of about 2,468,981 (349)
On a class of differential-algebraic equations with infinite delay [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We study the set of $T$-periodic solutions of a class of $T$-periodically perturbed Differential-Algebraic Equations, allowing the perturbation to contain a distributed and possibly infinite delay. Under suitable assumptions, the perturbed equations are equivalent to Retarded Functional (Ordinary) Differential Equations on a manifold.
Luca Bisconti, Marco Spadini
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SEIR epidemiological model with varying infectivity and infinite delay [PDF]
Mathematical Biosciences and Engineering, 2008 A new SEIR model with distributed infinite delay is derived whenthe infectivity depends on the age of infection. The basic reproduction numberR0, which is a threshold quantity for the stability of equilibria, is calculated.If $R_0$ 1, then an ...
Gergely Röst, Jianhong Wu
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Shadowing for nonautonomous difference equations with infinite delay
Applied Mathematics Letters, 2021 We formulate sufficient conditions under which a large class of semilinear nonautonomous difference equations with infinite delay is Hyers-Ulam stable. These conditions require that the nonautonomous linear part admits an exponential dichotomy and that the nonlinear perturbations are uniformly Lipschitz continuous with a sufficiently small Lipschitz ...
Davor Dragičević, Mihály Pituk
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Semigroups on Frechet spaces and equations with infinite delays [PDF]
Proceedings Mathematical Sciences, 2007 In this paper, we show existence and uniqueness of a solution to a functional differential equation with infinite delay. We choose an appropriate Frechet space so as to cover a large class of functions to be used as initial functions to obtain existence and uniqueness of solutions.
Sengadir, T
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Global stability for an SEIR epidemiological model with varying infectivity and infinite delay [PDF]
Mathematical Biosciences and Engineering, 2009 A recent paper (Math. Biosci. and Eng. (2008) 5:389-402)presented an SEIR model using an infinite delay to account for varyinginfectivity. The analysis in that paper did not resolve the globaldynamics for R0 >1.
C. Connell McCluskey
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Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay
Advances in Difference Equations, 2011 We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space .
Li Fang
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On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay [PDF]
Journal of Applied Mathematics, 2012 Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s ...
Fang Li, Ti-Jun Xiao, Hong-Kun Xu
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Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay
Fractal and Fractional, 2023 In this paper, we explain the approximate controllability of Ψ-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the ...
C. S. V. Varun Bose +4 more
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Symmetry, 2022 In this manuscript, some similar tripled fixed point results under certain restrictions on a b−metric space endowed with graphs are established. Furthermore, an example is provided to support our results.
H. Hammad, M. Zayed
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Mathematics, 2023 This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib +3 more
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