Differential equations with state dependent delay
Local bifurcations in differential equations with state-dependent delay
... of delay differential equations with constant delay that were developed and implemented in DDE-Biftool ...to delay-differential equations with ...
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CiteSeerX — Fractional Integro-Differential Equations with State-Dependent Delay
... Abstract In this article, we deal with the existence of mild solutions for a class of frac- tional integro-differential equations with state-dependent delay. Our results are based on ...
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Existence results for neutral functional fractional differential equations with state dependent-delay
... b Department of Mathematics, Lanzhou Jiaotong University, Lanzhou-730070, China. c Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts & Science, Coimbatore-641 020, India. Abstract In this ...
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Approximate Controllability of Impulsive Neutral Functional Differential Equations with State dependent Delay via Fractional Operators
... hand, delay differential equations arise in many phys- ical and biological applications, but often demand the use of non- constant or state-dependent ...These equations are ...
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A study of controllability of impulsive neutral evolution integro-differential equations with state dependent delay in Banach space
... integro- differential equations with state dependent delay in Banach spaces using the theory of resolvent operators and the Sadovskii’s fixed point ...
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Approximate controllability of nonlocal impulsive fractional neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces
... integro-differential equations with state-dependent delay conditions in Hilbert spaces under the assumptions that the corresponding linear system is approximately ...
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Approximate controllability of impulsive fractional stochastic differential equations with state dependent delay
... evolution equations with a compact analytic ...differential equations with finite delay and fractional Brownian motion in a Hilbert space, and a new set of sufficient conditions for approximate ...
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Numerical solution of stochastic state dependent delay differential equations: convergence and stability
... the state-dependent case, as we evidently observed in our running, unlike the two first cases, going back to the past is not necessarily ...of state-dependent delay which includes more ...
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On existence results for impulsive fractional neutral stochastic integro differential equations with nonlocal and state dependent delay conditions
... of state at certain moments of time between intervals of contin- uous ...of state or in the form of ...differential equations, which allow for discontinuities in the evolution of the ...
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Controllability of Mild Solutions for Evolution Equations with Infinite State-Dependent Delay
... the delay depends on the unknown functions have been proposed in modelling in recent ...These equations are frequently called equa- tions with state-dependent ...the delay is either a ...
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A differential equation with state-dependent delay from cell population biology
... functional differential equations by Hale and Lunel, which gives conditions under which - if there is no global exis- tence - closed and bounded sets are left for good, to the C 1 -topology, which is the ...
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Caputo fractional differential equation with state dependent delay and practical stability
... fractional delay differential equations is studied and, in particular, the case with state dependent delays is con- ...a delay in a fractional differential equation and ...
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1. Existence Results for Semilinear Fractional Differential Inclusions with State-Dependent Delay
... To our knowledge, there are very few results for impulsive fractional differential equations and inclusions. The results of the present paper extend and complete those obtained by [8] with finite ...
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Formulation of Impulsive Differential Equations with Time-Dependent Continuous Delay
... impulsive delay differential equations has been undergoing some exciting growth in recent ...that differential equations, in general, and indeed impulsive delay ...
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Pseudospectra and delay differential equations
... In this paper, we are interested in the pseudospectra of delay differential equations (DDEs). This class of dynamical systems is found in many applications ranging from chemistry [9] and biology [3] ...
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First-order nonlinear differential equations with state-dependent impulses
... equipped with the sup-norm. The functional is represented by means of the Kurzweil-Stieltjes integral and covers all linear boundary conditions for solutions of first-order differential equations subject to ...
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Numerical Solution of Delay Differential Equations
... We believe that the use of models based on DDEs has been hindered by the availability of quality software. Indeed, the first mathematical software for this purpose [17] appeared in 1975. As software has become available ...
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On Connection between Second Order Delay Differential Equations and Integrodifferential Equations with Delay
... The existence and uniqueness of solutions and a representation of solution formulas are studied for the following initial value problem: ˙ x t t t 0 K t, s x h s ds f t , t ≥ t 0 , x ∈ R n , x t ϕ t , t < t 0 . Such ...
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Asymptotic behaviours of stochastic differential delay equations
... KeyWords: Lyapunov function, asymptotic stability, semi-martingale con- vergence theorem, Itô formula. I. INTRODUCTION Since Itô introduced his stochastic calculus more than 50 years ago, the theory of stochastic ...
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On delay differential equations with nonlinear boundary conditions
... NONLINEAR BOUNDARY CONDITIONS TADEUSZ JANKOWSKI Received 21 July 2004 The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary ...
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