Lyapunov type inequalities for second-order differential equations with mixed nonlinearities
No Thumbnail Available
Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter GmbH
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper,we present some new Lyapunov and Hartman type inequalities for second-order equations with mixed nonlinearities: x''(t) + p(t)|x(t)|β?1x(t) + q(t)|x(t)|y?1x(t) = 0, where p(t), q(t) are real-valued functions and 0 < γ < 1 < β < 2. No sign restrictions are imposed on the potential functions p(t) and q(t). The inequalities obtained generalize the existing results for the special cases of this equation in the literature. © 2016 by De Gruyter.
Description
Keywords
Lyapunov type inequality, mixed nonlinear, sub-linear, super-linear
Turkish CoHE Thesis Center URL
Fields of Science
Citation
1
WoS Q
Scopus Q
Source
Analysis (Germany)
Volume
36
Issue
4
Start Page
245
End Page
252