井冈山大学学报（自然科学版）Issue(6)：15-18,4.DOI:10.3969/j.issn.1674-8085.2014.06.003
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
摘要
Abstract
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Key words
second order dynamic equation/oscillation/time scales分类
数理科学引用本文复制引用
王志伟,邓志云,杨云苏..时标上二阶动力方程有解的充分条件[J].井冈山大学学报（自然科学版）,2014,(6):15-18,4.基金项目
江西省教育厅教改课题项目(JXJG-12-15-11) （JXJG-12-15-11）
