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On Some Conjectures on Neutral Differential Equations
Canadian Mathematical Bulletin, 1991AbstractIn [2], Ladas and Sficas made two conjectures about the asymptotic behavior of solutions of some neutral differential equations. In this paper we confirm that these conjectures are indeed correct.
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PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Journal of the London Mathematical Society, 2002The paper concerns the existence, uniqueness and global attractivity of periodic solutions to neutral functional-differential equations with monotone semiflows. The proofs are based on the theory established by Wu and Freedman for monotone semiflow generated by neutral functional-differential equations and Krasnosel'skii's fixed-point theorem.
Wang, Lianglong +2 more
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POSITIVE SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Acta Mathematica Scientia, 1996The paper contains sufficient conditions under which the neutral functional differential equation \[ {d\over dx} \left[ x(t)+ \int^t_c x(s)+ d_s \mu(t,s) \right] +\int^t_c f\bigl( t,x(s) \bigr) d_s n(t,s) =0,\;t>t_0\leq c \tag{1} \] has a positive solution on \([c,+\infty)\). The following examples are based on his two theorems. The equation \[ {d\over
Huang, Zhenxun, Gao, Guozhu
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Forced Oscillations in Nonlinear Neutral Differential Equations
SIAM Journal on Applied Mathematics, 1975It is known that if a periodic neutral differential equation of certain type (which includes equations like $( {d / dt} )[ {x( t ) - q \times ( {t - r} )} ] = f( {x( t ),x( {t - r} ) + p( t ),| q | < 1,p( t )} )$ periodic) is uniform ultimately bounded, then there is a periodic solution.
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ON OSCILLATION OF SECOND-ORDER LINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DAMPING TERM
Dynamic systems and applications, 2019This paper is concerned with the oscillatory behavior of solutions to a class of second-order linear neutral differential equations with damping term. New sufficient conditions for the oscillation of all solutions are established that are not covered by ...
E. Tunç, Adil Kaymaz
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Total Stability for Neutral Functional Differential Equations
Proceedings of the American Mathematical Society, 1981The basic idea of this work is to use Lyapunov functionals to show that for neutral functional differential equations, uniform asymptotic stability implies total stability.
Ize, A. F., Freiria, A. A.
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On oscillatory fourth order nonlinear neutral differential equations – III
Mathematica Slovaca, 2018In this paper, several sufficient conditions for oscillation of all solutions of fourth order functional differential equations of neutral type of the form (r(t)(y(t)+p(t)y(t−τ))″)″+q(t)G(y(t−σ))=0 $$\begin{array}{} \displaystyle \bigl(r(t)(y(t)+p(t)y(t-\
A. Tripathy, R. R. Mohanta
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Oscillations of Second Order Neutral Differential Equations
Canadian Mathematical Bulletin, 1993AbstractIn this paper, we consider the oscillatory behavior of the second order neutral delay differential equationwheret ≥ t0,Tandσare positive constants,a,p, q € C(t0, ∞), R),f ∊ C[R, R]. Some sufficient conditions are established such that the above equation is oscillatory.
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Ulam–Hyers stability of Caputo type fractional stochastic neutral differential equations
, 2021Arzu Ahmadova, N. Mahmudov
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An analysis of solutions to fractional neutral differential equations with delay
Communications in nonlinear science & numerical simulation, 2021H. T. Tuan, Ha Duc Thai, R. Garrappa
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