on the maximal solution of the matrix equation 之最大解的性質(zhì)及數(shù)值解法矩陣方程
but, it is easy to see that the comparison result, in [ 3 ] is not applicable in the impulsive case . with the impulsive conditions, the paper [ 2 ] obtained by means of equivalent norm the existence of solutions and coupled mininal and maximal solutions of ivp ( l . l ) 而文[3]中的比較結(jié)果不再適用于有脈沖的情形,文[2]在脈沖情形下,利用等價(jià)范數(shù),得到了(1.1)解及藕合解的存在性。
relative to sde, the study for the solution of bsde under non-lipschitz condition is absence, especially when the uniqueness of the solution can not be guaranteed, the existence of minimal and maximal solution of bsde are not be studied 相對(duì)于正向隨機(jī)微分方程,非lipschitz條件下倒向隨機(jī)微分方程解的性質(zhì)的研究尚不夠豐富,特別是條件不能保證方程解唯一時(shí),倒向隨機(jī)微分方程最大最小解的存在性尚未見有成果。
in order to determine the solution set of the equation, by the means of meet-irreducible element and irredundant finite meet-decomposition, we first obtain the maximal solutions to the simple equation in the case that b has an irredundant finite meet-decomposition, and then consider the relation between the equation and the equation, based on this, we obtain the maximal solutions to the equation in the case that each element of the matrix b has an irredundant finite meet-decomposition and so determine its solution set completely 為了確定方程的解集,本文利用交既約元與不可縮短的有限交分解等工具,同樣地先求出簡(jiǎn)單形式的型矩陣方程的所有極大解,然后討論方程與方程之間的關(guān)系,在此基礎(chǔ)上,在b的每個(gè)元素均有不可縮短的有限交分解的情況下,求出了方程的所有極大解,從而完全確定了方程的解集
in order to determine the solution set of the equation, by the means of meet-irreducible element and irredundant finite meet-decomposition, we first obtain the maximal solutions to the simple equation in the case that b has an irredundant finite meet-decomposition, and then consider the relation between the equation and the equation, based on this, we obtain the maximal solutions to the equation in the case that each element of the matrix b has an irredundant finite meet-decomposition and so determine its solution set completely 為了確定方程的解集,本文利用交既約元與不可縮短的有限交分解等工具,同樣地先求出簡(jiǎn)單形式的型矩陣方程的所有極大解,然后討論方程與方程之間的關(guān)系,在此基礎(chǔ)上,在b的每個(gè)元素均有不可縮短的有限交分解的情況下,求出了方程的所有極大解,從而完全確定了方程的解集