伊犁师范学院学报：自然科学版
伊犛師範學院學報：自然科學版
이리사범학원학보：자연과학판
Journal of Yili Normal University
2012年
3期
26-30
,共5页
闫汉魁%肖开提·卡德尔
閆漢魁%肖開提·卡德爾
염한괴%초개제·잡덕이
奇数阶偏微分方程%初边值条件%先验模估计%解的唯一性%解的存在性%分离变量法%不动点原理
奇數階偏微分方程%初邊值條件%先驗模估計%解的唯一性%解的存在性%分離變量法%不動點原理
기수계편미분방정%초변치조건%선험모고계%해적유일성%해적존재성%분리변량법%불동점원리
odd-order partial differential equations%initial and boundary conditions%a priori model estimates%uniqueness of solution%the existence of solutions%separation of variables%fixed point theorem
提出一类奇数阶偏微分方程及其初边值条件，推出解的先验模估计，并用先验模估计来证明解的唯一性．然后用分离变量法导出无穷级数形式的形式解，再利用不动点原理及无穷级数的绝对收敛判别法，证明解的存在性．
提齣一類奇數階偏微分方程及其初邊值條件，推齣解的先驗模估計，併用先驗模估計來證明解的唯一性．然後用分離變量法導齣無窮級數形式的形式解，再利用不動點原理及無窮級數的絕對收斂判彆法，證明解的存在性．
제출일류기수계편미분방정급기초변치조건，추출해적선험모고계，병용선험모고계래증명해적유일성．연후용분리변량법도출무궁급수형식적형식해，재이용불동점원리급무궁급수적절대수렴판별법，증명해적존재성．
We present a class of odd-order partial differential equations and initial boundary conditions, and prove the uniqueness of the solution by using the priori model estimates. This paper uses the separation of variables to pilot out of the infinite series form of the solution, and then uses the fixed point theorem and the absolute convergence of infinite series of discrimination law, to prove the existence of solutions.
