Results 21 to 30 of about 23,117 (284)
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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Mean square exponential stability of stochastic function differential equations in the G-framework
Open Mathematics, 2023 This research focuses on the stochastic functional differential equations driven by G-Brownian motion (G-SFDEs) with infinite delay. It is proved that the trivial solution of a G-SFDE with infinite delay is exponentially stable in mean square. An example
Li Guangjie, Hu Zhipei
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A Maximum Principle for Infinite Horizon Delay Equations [PDF]
SIAM Journal on Mathematical Analysis, 2013 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, 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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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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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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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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