三阶p-Laplacian多点共振边值问题解的存在性  

Existence of solutions for a third-order p-Laplacian boundary value problem at resonance

作　　者：李志艳[1] 葛渭高[2] 

机构地区：[1]河海大学常州校区数理部,江苏常州213022 [2]北京理工大学数学系,北京100081

出　　处：《扬州大学学报（自然科学版）》2012年第3期12-15,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11071014)

摘　　要：通过积分将非线性算子转化为线性算子,定义Lx=x″,利用Mawhin连续定理得到在共振条件下一类多点边值问题解的存在性;特别地,边值条件中的系数可以异号.The nonlinear operator is transformed to linear operator by integral method and Lx=x＂ is defined. The existence of solutions for a kind of multi-point boundary value problems at resonance is obtained by Mawhin^s continuation theorem. In particular, the coefficients of the boundary value conditions can be different symbols.

关 键 词：P-LAPLACIAN算子 多点边值问题 共振 异号系数 Mawhin连续定理 

分 类 号：O175.8[理学—数学]