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21.
研究n-维二阶非线性向量积分微分方程组边值问题的奇摄动,在适当的条件下,利用改进了的对角化方法、逐步逼近法和不动点定理,求得并证明非线性向量积分微分方程组边值问题解的存在性及其渐近表达式,并给出渐近估计. 相似文献
22.
In this paper we consider singular perturbed phenomena of semilinear second order systems, under appropriate assumptions, the existence and asymptotic behavior as ε→0~+ of solution of vector boundary value problem are proved by constructing special invariant regions in which solutions display so-called boundary layer phenomena and angular layer phenomena. 相似文献
23.
In this paper we consider singular perturbed phenomena of semilinear second ordersystems, under appropriate assumptions, the existence and asymptotic behavior asε→0+ of solution of vector boundary value problem are proved by constructing specialinvariant regions in which solutions display so-called boundary layer phenomena andangular layer phenomena. 相似文献
24.
IntroductionAboutsingularperturbationofboundaryvalueproblemforsecond_orderordinarydifferentialequationworksofalargenumberwereconsideredonlyforthecaseofinvolvingonesmallparameter[1- 4].Onlyafewworkswereconsideredforthecaseofinvolvingtwosmallparameters[5 - 8]… 相似文献
25.
1 IlltroductionWe shall solve a problem Of optimal control consisting of the systemon the interval 0 5 t 5 1, with initial conditionsand the quadratic cost functionalwhich is to be minimized. Here the "T" denotes transposition; I = jot K(t, asx) fi are m-vectors; is gi are n-vectors, u is an r--vector, and the matrix R.is symmetric and positive definite, while the matrices Q and T are symmetricand positive semidefinite throughout 0 5 t S 1 for E > 0 small. fi, g2, 51 and6z are matrix functi… 相似文献
26.
In this paper,we study the singular perturbation of boundary value problem of systemsfor quasilinear ordinary differential equations:x′=f(t,x,y,ε),εy″=g(t,x,y,ε)y′ h(t,x,y,ε),x(0,ε)=A(ε),y(0,ε)=Bε,y(1,ε)=C(ε)where xf.y,h,A,B and C belong to R″and a is a diagonal matrix.Under the appropriateassumptions,using the technique of diagonalization and the theory of differentialinequalities we obtain the existence of solution and its componentwise uniformly validasymptotic estimation. 相似文献
27.
I.1utroductlouWeconsidcrthenonlinearstateregulatorproblemsconsistingofthesystemontheinterval0't相似文献
28.
The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation 下载免费PDF全文
This paper studies a generalized nonlinear evolution equation. Using
the homotopic mapping method, it constructs a corresponding homotopic
mapping transform. Selecting a suitable initial approximation and
using homotopic mapping, it obtains an approximate solution with an
arbitrary degree of accuracy for the solitary wave. From the
approximate solution obtained by using the homotopic mapping method, it
possesses a good accuracy. 相似文献
29.
拟线性积分微分方程系统的奇摄动边值问题 总被引:5,自引:0,他引:5
本文研究高维拟线性积分微分方程系统边值问题的奇摄动,在适当的条件下,利 用渐近分析方法和对角化技巧,证得解的存在性,同时给出解的渐近展开式及其相应的 余项估计. 相似文献