Results 11 to 20 of about 257,023 (328)
Asymptotic Stability of Differential Equations with Infinite Delay [PDF]
Journal of Applied Mathematics, 2012 A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
D. Piriadarshani, T. Sengadir
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Viability for Semilinear Differential Equations with Infinite Delay [PDF]
Mathematics, 2016 Let X be a Banach space, A : D ( A ) ⊂ X → X the generator of a compact C 0 -semigroup S ( t ) : X → X , t ≥ 0 , D ( · ) : ( a , b ) → 2 X a tube in X, and f : ( a , b ) × B → X a function of Carathéodory type.
Qixiang Dong, Gang Li
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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 ...
Sengadir, T
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On the dynamics of equations with infinite delay
Open Mathematics, 2006 We consider a system of ordinary differential equations with infinite delay. We study large time dynamics in the phase space of functions with an exponentially decaying weight. The existence of an exponential attractor is proved under the abstract assumption that the right-hand side is Lipschitz continuous.
Pražák Dalibor
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Periodic Solutions of Infinite Delay Evolution Equations
Journal of Mathematical Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
James H. Liu
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Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
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Results in Control and Optimization, 2023 The main concern of the manuscript deals with the optimal control problem of conformable fractional neutral stochastic integrodifferential systems with infinite delay.
Dimplekumar Chalishajar +4 more
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Mathematics, 2022 In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
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Results in Control and Optimization, 2022 In this article, the authors set up an optimal control for a class of neutral Stochastic Integro-Differential Equations (SIDEs) with infinite delay and deviated arguments driven by Rosenblatt process in Hilbert space.
Dimplekumar Chalishajar +3 more
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Repellers in systems with infinite delay
Journal of Mathematical Analysis and Applications, 1989 A very important model for the interaction of species is a set of autonomous functional differential equations \[ (*)\quad x'(t)=f(x_ t),\quad t\geq 0, \] where x: \({\mathbb{R}}\to {\mathbb{R}}^ n\) and \(x_ t\) is defined for \(t\geq 0\) by \(x_ t(s)=x(t+s)\) for \(-\infty
V Hutson, Theodore Burton
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