Generalized legendre rational pseudospectral method on the half line 半直線上的廣義勒讓德有理擬譜方法
One line ( half line ) three times a day . shake it well before taking it 每天三次,每次一(半)格。服前先搖勻。
Multiple positive solutions of singular boundary value problem for second order differential equations on half line in banach spaces 空間中二階奇異微分方程無窮邊值問題的多重正解
There are three sections in this paper . the first section : we consider the initial boundary value problem on half line and bounded interval , with kato ' s method for abstract quasi - linear evolution equations and a prior estimates of . solution , we get the existence of global smooth solution and the blow - up of solution in finite time under some conditions 第一部分:考慮了camassa ? holm方程在半無界和有界區(qū)域上的初邊值問題,用kato關(guān)于擬線性演化方程的初值問題的理論及先驗(yàn)估計(jì)的方法,證明了整體解的存在性,及在一定條件下,解在有限時(shí)間內(nèi)的blow ? up 。
Furthermore , to show the feasibility of our new approach , we briefly discuss the quantization of o ( n ) nonlinear sigma model , classical nonlinear sigma model and gross - neveu model which are constrained on a half line or supplemented by integrable boundary terms in chapter four 第四章是為了進(jìn)一步說明我們這一新方法的可行性,又分別對限制于半直線上或附加了可積邊界項(xiàng)的o ( n )非線性模型、經(jīng)典非線性模型和gross - neveu模型的自洽的poisson結(jié)構(gòu)及量子化進(jìn)行了簡單討論。