共查询到20条相似文献,搜索用时 44 毫秒
1.
2.
3.
4.
Erdoğan Şen Serkan Araci Mehmet Acikgoz 《Mathematical Methods in the Applied Sciences》2014,37(17):2619-2625
In this work, we study the asymptotic properties of a new Sturm–Liouville problem with retarded argument. Contrary to previous works, differential equation includes eigenparameter as a quadratic function. In the considered problem arise new difficulties. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
5.
L. A. Beklaryan 《Mathematical Notes》1998,63(4):427-435
We describe an approach to differential equations with deviating argument which takes account of the structure of the homeomorphism group generated by the functions specifying the deviated arguments. The formalism presented here is particularly simple and instructive for the case in which the group is cyclic. In the class of linear differential equations with integer deviations, this formalism permits us to describe regular extensions of the class of ordinary differential equations.Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 483–493, April, 1998.This research was supported by the Russian Foundation for Basic Research under grant No. 97-01-00625. 相似文献
6.
We prove a theorem on the existence and asymptotic behaviour of solutions of a differential equation with a deviating argument of neutral type. The considered equation contains both delayed and advanced arguments. The method used in the proof of our main result depends on conjunction of the classical Schauder fixed point theorem with the technique of measures of noncompactness. 相似文献
7.
Julio G. Dix Ioannis K. Purnaras 《Journal of Mathematical Analysis and Applications》2006,318(1):296-304
In this article we study asymptotic properties of solutions to first order linear neutral differential equations with variable coefficients and constant delays. Results are stated in terms of the solution to a characteristic equation. By doing this, we extend some of the results obtained for delay equations in [J.G. Dix, Ch.G. Philos, I.K. Purnaras, An asymptotic property of solutions to linear non-autonomous delay differential equations, Electron. J. Differential Equations 2005 (2005) 1-9] to neutral equations. 相似文献
8.
This paper is concerned with a nonlinear neutral differential equations with impulses of the form
(*) 相似文献
9.
10.
Lijun Pan 《Journal of Mathematical Analysis and Applications》2008,343(2):904-918
By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions for higher order differential equations with deviating argument . Some new results on the existence of periodic solutions of the equations are obtained. Meanwhile, an example is given to illustrate our results. 相似文献
11.
In this paper, we propose a class of higher-order stochastic partial differential equations (SPDEs) with branching noises.
The existence of weak (mild) solutions is established through weak convergence and tightness arguments.
相似文献
12.
§ 1 IntroductionIn the last few years,invariant sets and attractors of (functional) differentialequations have been extensively discussed and various interesting results on the invariantsets and attractors,and estimates on the basin of attraction have been reported(see,forinstance,[1 ,2 ,4,6,1 0 ,1 3 ,1 5,1 8] ) .However,not much hasbeen developed in the directionof giving criteria on the existence of invariant sets and attractors for the functionaldifferential equations even though there ar… 相似文献
13.
研究了一类带有偏差变元的三阶非线性微分方程的解的渐近性质,指出了此类方程的解的性质不同于对应的常微分方程解的性质. 相似文献
14.
In this paper we give sufficient spectral conditions for the almost automorphy of bounded solutions to differential equations with piecewise constant argument of the form x′(t)=Ax([t])+f(t), t∈R, where A is a bounded linear operator in X and f is an X-valued almost automorphic function. 相似文献
15.
ON THE OSCILLATION OF SOLUTIONS OF FIRST ORDER DIFFERENTIAL EQUATIONSWITH DEVIATING ARGUMENTS 总被引:1,自引:0,他引:1
1.IntroductionConsiderthefirstorderdifferentialequationwithdeviatingargUmelltTheoscillationofEq.(1)wasstudiedextensivelyinthelastthreedecades.See,forexamDleif--101andthereferencescitedtherein.In1972Ladas.LakshlnhanthamanddeceivedApril1,1997.Re~AugUBt... 相似文献
16.
建立了偏差变元依赖于状态的三阶强迫泛函微分方程解的若干振动性和渐近性.所得结果是新的,同时推广了文献中的有关结果. 相似文献
17.
X.H. Tang 《Journal of Mathematical Analysis and Applications》2005,302(2):342-359
This paper deals with scalar delay differential equation with instantaneously term
18.
19.
20.
In this paper, a new approach is provided to study the asymptotic behavior of functions. A Tauberian theorem is improved and applied to describe the asymptotic behavior of abstract functional differential equations of the form