共查询到20条相似文献,搜索用时 15 毫秒
1.
U. an der Heiden 《Journal of Mathematical Analysis and Applications》1979,70(2):599-609
It is proved that the autonomous difference-differential equation
(0) has, for a broad class of functions f, a nonconstant periodic solution whenever the associated characteristic equation has a root with positive real part. 相似文献
Full-size image
2.
In this paper, the authors study the existence of periodic solutions for a second order neutral functional differential equation
in the critical case |c|=1. By employing Mawhin's continuation theorem and some analysis techniques, sufficient conditions are given for the existence of periodic solutions. 相似文献
(x(t)-cx(t-τ))″=f(x(t))x′(t)+g(t,x(t-μ(t)))+e(t)
3.
Rolf Reissig 《Annali di Matematica Pura ed Applicata》1972,92(1):193-198
Summary The differential equation x‴ + ϕ(x′)x″ + ϕ(x)x′ + f(x)=p(t) is considered where the forcing term p is an ω-periodic function
of t. In the special cases ϕ(x)=k2 respectively ϕ(x′)=a the existence of periodic solutions is proved on the basis of the Lerag-Schauder fixed point technique.
The conditions imposed on the nonlinear terms do not include the ultimate boundedness of all solutions.
Entrata in Redazione il 18 settembre 1971. 相似文献
4.
5.
Klaus Schmitt 《Mathematische Zeitschrift》1967,98(3):200-207
6.
7.
8.
In this paper, criteria are established for the existence of periodic solutions to a second order sublinear neutral differential equation. Our method is based on careful a priori estimation and continuation theorem, and our sublinear condition is an improvement of the boundedness condition in some recent results. 相似文献
9.
Seshadev Padhi 《Applied mathematics and computation》2010,216(8):2450-2456
This paper is concerned with the existence of three positive T-periodic solutions of the first order functional differential equations of the form
x′(t)=a(t)x(t)-λb(t)f(t,x(h(t))), 相似文献
10.
This paper is concerned with an iterative functional differential equation
c1x(z)+c2x′(z)+c3x″(z)=x(az+bx′(z))