共查询到20条相似文献,搜索用时 156 毫秒
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This paper is devoted to the problem of existence of positive solution for a delay differential equation with fractional order.
Some sufficient conditions for its existence of positive solution are given.
This work was supported in part by the Key Project of the National Nature Science Foundation of China (No. 60534020), the
National Nature Science Foundation of China (No. 60474037), and Program for New Century Excellent Talents in University (No.
NCET-04-415). 相似文献
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Tatsuo Nishitani 《偏微分方程通讯》2013,38(9):1289-1319
We study the Cauchy problem for second order hyperbolic equations with non negative characteristic form of two independent variables. We show that for such equations in divergence-free form, the Cauchy problem is well posed in the Gevrey class of order less than 5/2. 相似文献
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黄文纲 《应用数学学报(英文版)》1991,(3)
In this paper, the author considered the stability of zero solution of linear RDDEx(t) p_1(t)x(t) q_1(t)x(t) p_2(t)x(t-r(t)) q_2(t)x(t-r(t))=0,(1)x(t) p_1(t)x(t) q_1(t)x(t) q_2(t)x(t-r(t))=0 (2)using Liapunov-Razumikhin functional and transformations and obtained some sufficient condi-tions for the stability of Eqs.(1) and (2). These results are suitable both for bounded p_i(t), q_i(t)and r(t).i =1, 2. 相似文献
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讨论了方程a2x(t-τ)+a1x(t-τ) a0x(t-τ) b2x(t) b1x(t) b0x(t)=δ的部分解。 相似文献
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V. A. Ilyin 《Journal of Mathematical Sciences》2003,114(4):1461-1472
This article concerns the boundary control on the side x = 0 when the other side x = l is fixed. The corresponding process of oscillations is studied for the time interval T > 0 and is described by the generalized solution of the equation
This solution belongs to the class that admits the existence of finite energy for any time moment t. 相似文献
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In this paper, time delay Lienard's equations are considered, by using the theory of concidence degree, a sufficient condition of existence of at least one 2π-periodic solution is obtained. 相似文献
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x′=g(x,t)+h(t)型方程的拓扑动力系统与Kurzweil-Henstock积分 总被引:4,自引:0,他引:4
本文借助Sell等人建立的局部动力系统理论,利用Kurzweil-Henstock积分,建立了x′=g(x,t)+h(t)型非自治微分方程的拓扑动力系统,为进一步讨论这种方程解的渐近行为作了基础性的工作.本文的工作也是Sell等人工作中有关结论的推广(参见文[1-12]). 相似文献
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讨论了方程a2(x)(t-τ)+a1(x)(t-τ)+a0x(t-τ)+b2(x)(t)+b1(x)(t)+b0x(t)=δ的部分解. 相似文献
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本文应用交换技巧以及直接方法研究了二阶线性系统(1)的平凡解的稳定性,得到若干充分条件、必要条件以及充分必要条件,推广了文献[1—8]中的有关结果。 相似文献
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Gaetano Villari 《Annali di Matematica Pura ed Applicata》1960,51(1):301-328
Sunto è contenuto nel n. 1 della Memoria.
A Giovanni Sansone nel suo 70mo compleanno. 相似文献
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史正平 《纯粹数学与应用数学》2010,26(3):501-507
带参数二阶方程x″+(λ+q(t))x=0与x″+λp(t)x=0的特征值求法在理论上是十分困难的.利用判别式与数学软件在计算机上可以较轻松的解决x″+λp(t)x=0型方程的特征值计算问题. 相似文献
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文[1]给出了一类具两个滞量的方程存在周期解的充分条件,但并没有给出周期解的表达式,本文给出了方程x(t)= -x[t-π/3-√3]-x[t-2π/3√3]周期解的部分表达式。 相似文献