The infinite - dimensional lie algebras and integrability of a non - linear schrodinger equations in dimensions 维非线性薛定锷方程的无限维李代数及其可积性
Quadratic integrability and boundeness of solutions about a class of second order time lag differential equation 二阶滞后型微分方程解的有界性与平方可积性
The uniform integrability plays a very important part in stochastic process , specially in martingale theory 一致可积性在随机过程特别是鞅中起着极其重要的作用。
There are many results with important relations to it , such as the covergance theorem and stopping time 如极限收敛,停时定理等很多方面都与一致可积性有着重要联系。
For example , the yangian symmetry and rtt integrablility of hydrogen atom had been reported at length 例如我们所熟悉的氢原子问题中就存在yangian对称性及rtt意义下的量子完全可积性。
For some quintic derivative nonlinear schrodinger ( qds ) equation , kundu had shown their integrability through gauge transformations 对于某些既有五次项又有导数项的nls方程, kundu等利用规范变换得到了它们的可积性。
The article makes use of derivation , variable substitution , and interation methods , gives several new types integral differential equation , and proves their integrality 摘要借助求导、变量代换、迭代等方法,给出了几类新的积分微分方程,论证了他们的可积性。
The conditions of two types of bsdes are not same , such as the integrability of parameter and coefficient , the filtration etc . , the two types of bsdes are not covered by each other 由于两类方程在滤波及参系数的可积性不尽相同,所以一般情况两类互不包含。
With the concavity and integrability of sublinear terms near zero , the symmetry results for a class of sublinear elliptic equations are given by making use of the moving - plane method 本文利用次线性项在零点附近的凹性和可积性,用移动平面法给出了一类次线性椭圆方程正解的对称性
For example , the yangian symmetry and rtt integrability of hydrogen atom had been reported at length [ 21 ] . but many pursuits were concentrated on non - relativistic area 如我们所熟悉的氢原子问题中就存在yangian对称性及rtt意义下的量子完全可积性,但这方面的研究大部分集中于非相对论的情况。