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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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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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Discretisation of an infinite delay equation [PDF]
Mathematics of Computation, 2006 The paper considers delay differential equations with an infinite number of delays, tending to infinity: \[ \dot x(t)=ax(t)+\sum_{k=1}^{\infty}b_kx(t-\tau_k), \] where \(\tau_k\to\infty\) for \(k\to\infty\). The sequence \(b_k\) is assumed to be in \(l^1\) and the initial value (a function on \((-\infty,0]\)) is continuous but not necessary bounded or ...
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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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INCOMPLETE MARKETS IN INFINITE HORIZON: DEBT CONSTRAINTS VERSUS NODE PRICES [PDF]
, 1995 The general equilibrium model with incomplete markets is here extended to infinite horizon economies populated by a finite number of infinitely lived agents.
Monique Florenzano +3 more
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Dimensional reduction of nonlinear time delay systems
International Journal of Mathematics and Mathematical Sciences, 2005 Whenever there is a time delay in a dynamical system, the study of stability becomes an infinite-dimensional problem. The centre manifold theorem, together with the classical Hopf bifurcation, is the most valuable approach for simplifying the infinite ...
M. S. Fofana
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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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Oscillation of equations with an infinite distributed delay
Computers & Mathematics with Applications, 2010 The authors are concerned with the problem of existence, to integrodifferential equations of the form \[ \dot x(t)+ \int^t_{-\infty} x(s) d_s R(t, s)= f(t),\quad t> t_0, \] of nonoscillatory solutions on \([0,\infty)\). The usual initial data are admitted: \[ x(t)= \varphi(t),\quad t< t_0,\quad x(t_0)= x_0.
Leonid Berezansky, Elena Braverman
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Cogent Engineering, 2015 The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
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Linearization for Difference Equations with Infinite Delay
, 2023 In this article, we construct a conjugacy map for a linear difference equation with infinite delay and corresponding nonlinear perturbation. We also prove that the conjugacy map is one-one with some additional conditions. As an application of our result, we show that the cases of (uniform) exponential dichotomy follow from our result.
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