Lyapunov-type inequalities and disconjugacy for some nonlinear difference system

Advances in Difference Equations

Qi-Ming Zhang¹  Xiaofei He²  XH Tang² 

[1] College of Science, Hunan University of Technology, Zhuzhou, Hunan, P.R. China;School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan, P.R. China

关键词: difference system;    nonlinearity;    Lyapunov-type inequality;    generalized zero;    disconjugacy;   

DOI  :  10.1186/1687-1847-2013-16

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We establish several new Lyapunov-type inequalities for some nonlinear difference system when the end-points are not necessarily usual zeros, but rather generalized zeros. Our results generalize in some sense the known ones. As an application, we develop disconjugacy criteria by making use of the obtained inequalities. MSC:34D20, 39A99.

【 授权许可】

CC BY