Collocation schemes for periodic solutions of neutral delay differential equations [PDF]
, 2005 We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE +8 more
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Global existence results for second order neutral functional differential equation with state-dependent delay [PDF]
, 2016 summary:Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay.
Medjadj, Imene, Benchohra, Mouffak
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Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]
, 2011 By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +5 more
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On a class of first order nonlinear functional differential equations of neutral type [PDF]
, 1987 Consider the neutral differential equation ddt [y(t) + py(t − τ)] + qy(t − σ) = 0, t ≧ t0 (∗) where p, q, τ, and σ are real numbers. Then a necessary and sufficient condition for the oscillation of (∗) is that the characteristic equation λ + pλe−λτ + qe ...
Ladas, G +4 more
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Periodic solutions to a $p$-Laplacian neutral Rayleigh equation with deviating argument [PDF]
, 2006 summary:By using the coincidence degree theory, we study a type of $p$-Laplacian neutral Rayleigh functional differential equation with deviating argument to establish new results on the existence of $T$-periodic ...
Bo Du +5 more
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The Existence and Uniqueness of Solution of a Neutral Functional Differential Equation [PDF]
, 2021 Up to now, many things were said about differential equations without time delay, the so called ordinary differential equations or partial differential equations, and their solutions.
Eshetu Dadi Gurmu +2 more
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Positive periodic solutions of a neutral functional differential equation with multiple delays [PDF]
, 2017 summary:This paper deals with the existence of positive $\omega $-periodic solutions for the neutral functional differential equation with multiple delays $$(u(t)-cu(t-\delta ))'+a(t) u(t)=f(t, u(t-\tau _1), \cdots , u(t-\tau _n)).$$ The essential ...
Li, Yongxiang +3 more
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Asymptotic Stability of Neutral Set-Valued Functional Differential Equation by Fixed Point Method
Discrete Dynamics in Nature and Society, 2020 This paper studies a class of nonlinear neutral set-valued functional differential equations. The globally asymptotic stability theorem with necessary and sufficient conditions is obtained via the fixed point method.
Junyan Bao, Peiguang Wang
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Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type [PDF]
, 2000 summary:This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type.
Kusano, Takaŝi, Marušiak, Pavol
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Boundary Value Problems, 2019 This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo +3 more
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