时标上二阶动力方程有解的充分条件  

SUFFICIENT CONDITIONS FOR SOLUTIONS OF SECOND ORDER DYNAMIC EQUATIONS ON TIME SCALES

作　　者：王志伟[1] 邓志云[1] 杨云苏[1] 

机构地区：[1]井冈山大学数理学院,江西吉安343009

出　　处：《井冈山大学学报（自然科学版）》2014年第6期15-18,共4页Journal of Jinggangshan University (Natural Science)

基　　金：江西省教育厅教改课题项目(JXJG-12-15-11)

摘　　要：研究时标上的一类二阶非线性动力方程解的存在性。利用riccati变换和Banach空间的不动点定理得到了该类方程存在解的几个充分条件。We mainly discuss the existence of the solution to a class of second order nonlinear dynamic equations on time scales. Firstly, we give two sufficient conditions for oscillation of solutions of second order nonlinear dynamic equations on time scales by the Riccati transformation and time scales theory. Secondly, a non-oscillation criterion that equation has bounded positive solutions was obtained by using the fixed point Theorem in Banach space.

关 键 词：二阶动力方程 振动性 时标 

分 类 号：O175.1[理学—数学]