二阶带时标的非线性奇异动力方程的m点边值问题的正解  

Positive Solutions of a Second Order M-Point Boundary Value Problems for Nonlinear Singular Impulsive Dynamic Equations on Time Scales

作　　者：徐雪[1,2] 王勇[1] 王玉文[3] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150000 [2]哈尔滨学院数学系,黑龙江哈尔滨150086 [3]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025

出　　处：《数学的实践与认识》2012年第21期246-252,共7页Mathematics in Practice and Theory

基　　金：黑龙江省教育厅科学技术研究项目(11553067);国家自然科学基金(11071051)

摘　　要：研究二阶带时标的非线性奇异动力方程m点边值问题的正解,利用锥上的混合单调不动点定理,得到了正解的存在性和唯一性.本文中方程的非线性项可能是奇异的.并举例说明相应的结果.In this paper we study a general second brder m-point boundary value problems for nonlinear singular impulsive dynamic equations on time scales…… The existence and uniqueness of positive solutions are establish by using the mixed monotone fixed point theorem on cone, and Krasnosel＇skii fixed point theorem. Throughout our nonlinearity may be singular in its dependent variable. We present examples to illustrate our results.

关 键 词：正解 奇异的m点边值问题 动力方程 不动点定理 时标 

分 类 号：O175.8[理学—数学]