共查询到20条相似文献,搜索用时 15 毫秒
1.
Jianying Shao Lijuan Wang Yuehua Yu Jinglei Zhou 《Journal of Computational and Applied Mathematics》2009
In this paper, the Liénard equation with a deviating argument
is studied. By applying the coincidence degree theory, we obtain some new results on the existence and uniqueness of T-periodic solutions to this equation. Our results improve and extend some existing ones in the literature. 相似文献
x″(t)+f1(t,x(t))x′(t)+f2(x(t))(x′(t))2+g(t,x(t−τ(t)))=p(t)
2.
Bing Liu 《Journal of Mathematical Analysis and Applications》2005,309(1):313-321
With the help of the coincidence degree continuation theorem, the existence of periodic solutions of a nonlinear second-order differential equation with deviating argument
x″(t)+f1(x(t))x′(t)+f2(x(t))(x′(t))2+g(x(t−τ(t)))=0, 相似文献
3.
By means of continuation theorem of coincidence degree theory, we study a kind of Liénard equation with a deviating argument as follows
4.
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
5.
In this paper, we consider a kind of Rayleigh equation with finitely many deviating arguments of the form
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8.
Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments
By using the theory of coincidence degree, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with deviating arguments such as (φp(x′(t)−cx′(t−σ)))+g(t,x(t−τ(t)))=p(t), a result on the existence of periodic solutions is obtained. 相似文献
9.
By using the theory of coincidence degree, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with multiple deviating arguments, a new result on the existence of periodic solutions is obtained. 相似文献
10.
Yong Wang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2009,60(4):583-593
In this work, we study the following Rayleigh equation with a deviating argument:
. Some criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation is given by using Mawhin’s
continuation theorem and some new techniques. Comparing with the previous literature, our results are new and complement some
known results.
This work was supported by Research Found of Southwest Petroleum University, China. 相似文献
11.
Shiping Lu 《Journal of Mathematical Analysis and Applications》2007,336(2):1107-1123
By means of Mawhin's continuation theorem, a kind of p-Laplacian differential equation with a deviating argument as follows:
(φp(x′(t)))′=f(t,x(t),x(t−τ(t)),x′(t))+e(t) 相似文献
12.
By means of Mawhin's continuation theorem, we study some second order differential equations with a deviating argument:
x″(t)=f(t,x(t),x(t−τ(t)),x′(t))+e(t). 相似文献
13.
研究了一类具多偏差变元的p-Laplacian方程,为了得到该方程周期解的先验估计,运用分析技巧建立了一些新的不等式,进而利用Mawhin连续定理得到了这类方程周期解的存在性,得到了一些新的结果,推广和改进了已有结果. 相似文献
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利用Mawhin重合度拓展定理研究一类具偏差变元的Rayleigh方程x"(t)=f(x'(t))+g(x(t-T(t,x'(t))))+p(t)的周期解问题,并得到一些有意义的结果. 相似文献
16.
一类具复杂偏差变元的Duffing型方程的周期解 总被引:10,自引:0,他引:10
利用拓扑度方法研究卫类具复杂偏差变元的Duffing型泛函微分方程x″(t) g(x(x(t)))=p(t)周期解的存在性,得到了方程具有周期解的充分条件。 相似文献
17.
R. Ravi Kumar 《Applied mathematics and computation》2011,217(22):9111-9121
In this paper we prove the existence of mild and classical solutions of delay integrodifferential equation and delay integrodifferential evolution equations with nonlocal condition in Banach spaces. The regularity solutions of integrodifferential evolution equations interconnected with viscoelastic material is derived to guarantee the stabilization. The results are established by using the resolvent operators and the fixed point principles. Finally, an example is given to show the potential of the proposed techniques. 相似文献
18.
具偏差变元的高阶中立型泛函微分方程的周期解存在性问题 总被引:1,自引:0,他引:1
李晓静 《纯粹数学与应用数学》2007,23(3):394-401
利用 Fourier 级数理论,伯努利数理论和重合度理论研究了一类具偏差变元的高阶中立型泛函微分方程的周期解问题,得到了周期解存在的充分条件. 相似文献
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By using the coincidence degree theory of Mawhin, we study a kind of high-order neutral functional differential equation with distributed delay as follows: