Lyapunov type inequalities and their applications for quasilinear impulsive systems
2019
Kayar, Zeynep
A novel Lyapunov-type inequality for Dirichlet problem associated with the quasilinear impulsive system involving the -Laplacian operator for j=1,2 is obtained. Then utility of this new inequality is exemplified in finding disconjugacy criterion, obtaining lower bounds for associated eigenvalue problems and investigating boundedness and asymptotic behaviour of oscillatory solutions. The effectiveness of the obtained disconjugacy criterion is illustrated via an example. Our results not only improve the recent related results but also generalize them to the impulsive case.
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书目信息
出版者
Taylor & Francis
其它主题
Impulse; Lyapunov type inequality; Utilities; Quasilinear systems
语言
英语
类型
Journal Article; Text
2024-02-29
MODS