Results 241 to 250 of about 5,961,166 (286)

Neutral fuzzy fractional functional differential equations

Fuzzy Sets and Systems, 2021
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Nguyen Dinh Phu, Vasile Lupulescu, Ngo Van Hoa   +2 more
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POSITIVE SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 1996
The 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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Spline Approximations for Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis, 1981
Based on an abstract approximation theorem for ${\text{C}}_0 $-semigroups (Trotter–Kato theorem) we present an algorithm where linear autonomous functional-differential equations of neutral type are approximated by sequences of ordinary differential equations of increasing dimensions.
Kappel, F., Kunisch, K.
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Neutral Mixed Type Functional Differential Equations

Journal of Dynamics and Differential Equations, 2015
The authors consider implicitly defined equations of mixed type which arose from examining electrical signaling in cardiac tissue and nerve conduction models. They are studying travelling wave solutions \((\phi,c)\) with \(\phi\) waveform and wave speed \(c\) which satisfy the following equation: \[ \sum\limits^N_{j=1}B_j(\xi)\left[-c\phi'(\xi+r_j)+f ...
Lamb, Charles, Van Vleck, Erik S.
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PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 2001
The problem of periodic solutions for nonlinear neutral functional-differential equations \[ \frac{d}{dt}D(t, x_t)=f(t,x_t) \] is discussed by using coincidence degree theory. A new result on the existence of periodic solutions is obtained.
Peng, Shiguo, Zhu, Siming
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Oscillation of Neutral Functional Differential Equations

Acta Mathematica Hungarica, 2000
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Neutral functional differential equations with infinite delay

Funkcialaj Ekvacioj, 1985
The paper discusses the fundamental theory of neutral functional differential equations (NFDE) with infinite delay on an abstract phase space given by \textit{J. K. Hale} and \textit{J. Kato} [ibid. 21, 11-41 (1978; Zbl 0383.34055)]. The axioms for the phase space are stated in Section 1.
Zhicheng, Wang, Jianhong, Wu
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OSCILLATIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 1992
This paper presents sufficient conditions for all the solutions of some classes of neutral functional differential equations (NFDE) to oscillate. Under consideration are (i) a class of NFDE of retarded type \[ [x(t)- px(t-\tau)]'+\sum^ n_{i=1}q_ ix(t-\sigma_ i)=0, \tag{1} \] where \(p\geq 0\), \(\tau\), \(q_ i\) and the \(\sigma_ i\) are positive ...
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PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Journal of the London Mathematical Society, 2002
The 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, Wang, Zhicheng, Zou, Xingfu   +2 more
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Total Stability for Neutral Functional Differential Equations

Proceedings of the American Mathematical Society, 1981
The 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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