共查询到20条相似文献,搜索用时 343 毫秒
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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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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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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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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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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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《Nonlinear Analysis: Real World Applications》2008,9(3):949-962
We gave the calculate formula for characteristic multiplier of Hill's equation in case and in the papers of Shi et al. [The calculation for characteristic multiplier of Hill's equation, Appl. Math. Comput. 159 (2004) 57–77] and Shi et al. [The calculation for characteristic multiplier of Hill's equation in case , 167 (2005) 1130–1149], respectively. In this paper, we give the calculate formula for characteristic multiplier of Hill's equation in case alternate signs and . 相似文献
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Tatsuo Nishitani 《Annali dell'Universita di Ferrara》2006,52(2):395-430
Abstract The well posedness of the Cauchy problem for the operator P=Dt2–Dxa(t,x)nDx,
with data on t=0 is studied assuming a ∈ CN(
(R)), s0>1 and sufficiently close to 1, a(t,x)≥ 0. Well posedness is proved in Gevrey classes γ(s), for
, n≥ n0.
Keywords: Partial differential equations, Cauchy problem, Well posedness 相似文献
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迭代微分方程x'(t)=ω(t)(ax(t)-bx(x(t)))(a>b>0)的周期解 总被引:2,自引:0,他引:2
本文讨论了一类非自治迭代微分方程x’(t)=ω(t)(ax(t)-bx(x(t)))(a>b>0)的解的存在性、解的性态及周期.此结论推广了文[1]的定理. 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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在振动论、控制论等方面,方程 f(x,) g(x)=p(t)都有很重要的应用.早在四、五十年代N.Lavinson,C.E.Langenhop和G.Siefert等人对此方程周期解的存在性就进行了研究.本文引进了两个辅助方程,定义了半能量函数.引用了[3—6]中的“等零斜率曲线”得到了一些结果. 1.引理及定义对下列方程: 相似文献
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