CAJ | 학술논문

万方数据

井冈山大学学报（自然科学版） 정강산대학학보（자연과학판）
JOURNAL OF JINGGANGSHAN UNIVERSITY(SCIENCE AND TECHNOLOGY)
2014年 6期 15-18 ,共4页

王志伟%邓志云%杨云苏王誌偉%鄧誌雲%楊雲囌

왕지위%산지운%양운소

二阶动力方程%振动性%时标二階動力方程%振動性%時標
이계동력방정%진동성%시표
second order dynamic equation%oscillation%time scales

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。
연구시표상적일류이계비선성동력방정해적존재성。이용riccati변환화Banach 공간적불동점정리득도료해류방정존재해적궤개충분조건。
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.