Results 1 to 10 of about 2,468,981 (349)
On linear Volterra difference equations with infinite delay [PDF]
Advances in Difference Equations, 2006 Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established.
Philos Ch G, Purnaras IK
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A maximum principle for infinite horizon delay equations [PDF]
SIAM Journal on Mathematical Analysis, 2012 We prove a maximum principle of optimal control of stochastic delay equations on infinite horizon. We establish first and second sufficient stochastic maximum principles as well as necessary conditions for that problem. We illustrate our results by an application to the optimal consumption rate from an economic quantity.
Nacira Agram +3 more
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Fractal and Fractional, 2022 The main concern of this manuscript is to study the optimal control problem for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay.
Murugesan Johnson, Velusamy Vijayakumar
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Fractal and Fractional, 2023 In this paper, we investigate the optimal control problems for a class of neutral stochastic integrodifferential equations (NSIDEs) with infinite delay driven by Poisson jumps and the Rosenblat process in Hilbert space involving concrete-fading memory ...
Dimplekumar Chalishajar +2 more
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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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Fractional partial random differential equations with infinite delay
Results in Physics, 2022 The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure ...
Amel Heris +3 more
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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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Functional differential equations with infinite delay in Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being ...
Jin Liang, Tijun Xiao
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Periodic Solutions of Infinite Delay Evolution Equations
Journal of Mathematical Analysis and Applications, 2000 AbstractFor A(t) and f(t,x,y) T-periodic in t, we consider the differential equation with infinite delay in a general Banach space X,u′t+Atut=ft,ut,ut,t>0,us=φs,s≤0,0.1where the resolvent of the unbounded operator A(t) is compact and f is continuous in its variables, and ut(s)=u(t+s), s≤0. We first show that the Poincaré operator given by P(φ)=uT(φ) (i.
James H. Liu
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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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