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关于Liénard方程周期解的存在性与唯一性 总被引:2,自引:0,他引:2
考虑微分方程x f(x) g(x)=p(t)其中g(x)∈C(R),p(t)∈πC2,f∈C(R),在g(x)满足(g(x)-g(y))/(x-y)<a<1时,给出周期解的存在性,并对f(x)=cx的特殊情形,g(x)严格递减的条件下,给出周期解存在唯一的充要条件. 相似文献
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考虑微分方程x+f(x)+g(x)=p(t),其中g(x)∈C(R),p(t)∈C2π,f∈C(R),在g(x)满足(g(x)-g(y))/(x-y)<a<1时,给出周期解的存在性,并对f(x)=cx的特殊情形,g(x)严格递减的条件下,给出周期解存在唯一的充要条件. 相似文献
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考虑微分方程 x+f(x)+g(x)=p(t),其中g(x)∈C(R),p(t)∈C2π,f∈C(R),在g(x)满足(g(x)-g(y))/(x-y)<a<1时,给出周期解的存在性,并对f(x)=cx的特殊情形,g(x)严格递减的条件下,给出周期解存在唯一的充要条件. 相似文献
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本文把近年来出现的关于单调扭转映射的Aubry-Mather 理论应用到超线性Duffing方程 x+g(x)=p(t)的研究,这里p(t)∈C0(R) 以1为周期,g(x)∈C0(R)具有超线性增长性:lim g(x)/x=+∞.其结果可以对缺乏高阶光滑性的大量方程仍给出其整体行为,特别是周期解和拟周期解的刻划. 相似文献
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周期扰动的非保守系统的周期解的存在性与唯一性 总被引:3,自引:0,他引:3
考虑具有周期扰动的Lienard型非保守系统x+Cx+gradG(x)=p(t),其中C是n×n的实对称方阵,x=(x1,x2,…,xn)T∈Rn,G∈C2(Rn,R),p∈C(R,Rn)且p(t+ω)≡p(t),ω>0是常数,利用重合度理论讨论周期解的存在性与唯一性,得到了若干简便的判别条件. 相似文献
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讨论具有无穷时滞Liénard型方程x+(?2F(x))/(?x2)x+g(t,xt)=p(t)的周期解问题, 利用重合度理论得到了周期解存在的充分条件. 相似文献
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考虑具有周期扰动的Linard型非保守系统 +C+gradG(x)=p(t),其中C是n×n的实对称方阵,x=(x_1,x_2,…x_n)~T∈R~n,G∈C~2(R~n,R),p∈C(R,R~n)且p(t+ω)≡p(t),ω>0是常数,利用重合度理论讨论周期解的存在性与唯一性,得到了苦干简便的判别条件。 相似文献
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考虑微分方程d2x/dt2+g(s)=p(t),其中g(x)∈C1(R);P(t)∈C(R)是2π周期函数。本文在假定g(0)=0,m2≤g′(x)≤(m+1)2,m为非负整数的情形下,比较完整地解决了方程(1.1)的2π周期解的存在问题。 相似文献
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《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
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《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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ZhouSongping YaoKui SuWeiyi 《分析论及其应用》2004,20(4):332-341
The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions. 相似文献
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《应用数学学报(英文版)》2014,(4)
正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science. 相似文献
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We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence
kernels.
Work on the paper was supported by Council of Czech Government No J14/98:153100011. 相似文献
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A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.
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We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T
4,-spaces. 相似文献
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A. Barkhudaryan R. Barkhudaryan A. Poghosyan 《分析论及其应用》2007,23(3):228-242
The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called "jumps" is studied and asymptotic L2 constants of the rate of convergence of the method are computed. 相似文献