Results 301 to 310 of about 168,932 (360)

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
openaire   +1 more source

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
openaire   +2 more sources

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.
openaire   +2 more sources

Oscillation of Neutral Functional Differential Equations

Acta Mathematica Hungarica, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients

Mathematica Slovaca
In this paper, we initiate the study of asymptotic and oscillatory properties of solutions to second-order functional differential equations with noncanonical operators and unbounded neutral coefficients, using a recent method of iteratively improved ...
I. Jadlovská, G. Chatzarakis, E. Tunç
semanticscholar   +1 more source

Existence results for impulsive delayed neutral stochastic functional differential equations with noncompact semigroup

Stochastics, 2021
In this paper, we study the existence of mild solutions for impulsive neutral stochastic functional differential equations driven by a fractional Brownian motion with noncompact semigroup and varying-time delays in a Hilbert space.
Dongdong Gao, Jianli Li
semanticscholar   +1 more source

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 ...
openaire   +2 more sources

Averaging of neutral stochastic partial functional differential equations involving delayed impulses

Applicable Analysis, 2021
In this paper, we initiate a study on averaging principles for neutral stochastic partial functional differential equations (NSPFDEs) with delayed impulses. With the aid of inequality techniques, the semigroup approach and some technical transformations,
Jiankang Liu, Wei Xu, Qin Guo
semanticscholar   +1 more source

Impulsive neutral functional differential equations with variable times

Nonlinear Analysis: Theory, Methods & Applications, 2003
The authors investigate the existence of solutions for first- and second-order impulsive neutral functional-differential equations with variable times. The fixed-point theorem due to Schaefer is used.
Benchohra, Mouffak, Ouahab, Abdelghani
openaire   +1 more source

Neutral Functional Differential Equations

1999
The present chapter contains some remarks and ideas concerning application of i—smooth calculus to functional differential equations of neutral type. Taking into account essential features of neutral functional differential equations (NFDE) subsequent elaboration of these aspects requires additional investigating properties of invariant differentiable ...
openaire   +1 more source