三阶非线性偏微分方程初边值问题解的存在性  

THE EXISTENCE OF THE SOLUTION OF INITIAL AND BOUNDARY VALUE PROBLEM OF ONE KIND NONLINEAR PARTIAL DIFFERENTIAL EQUATION OF THIRD ORDER

作　　者：王峥[1] 徐宝林[1] 

机构地区：[1]郑州铁路职业技术学院

出　　处：《哈尔滨师范大学自然科学学报》2008年第6期32-34,共3页Natural Science Journal of Harbin Normal University

摘　　要：研究形如Uxxy=F(x,y,Uxx,Uxy,Uy,Ux,U)的三阶非线性偏微分方程,利用积分算子的特殊性质和不动点原理,证明了其初边值问题的局部正规界的存在性.In this paper , the following kind of nonlinear partial differential equation of third order Uxxy=F（x,y,Uxx,Uxy,Uy,Ux,U） is considered. By using the special properties of integral operators and fixed points theory , the existence of regular local solution of initial and boundary value problem of this kind of equation is proved.

关 键 词：非线性方程 积分算子 不动点 

分 类 号：O175.29[理学—数学] O175.26[理学—基础数学]