Nonoscillatory Solutions of Second-Order Differential Equations without Monotonicity Assumptions

The continuability, boundedness, monotonicity, and asymptotic properties of nonoscillatory solutions for a class of second-order nonlinear differential equations [𝑝(𝑡)ℎ(𝑥(𝑡))𝑓(𝑥(𝑡))]=𝑞(𝑡)𝑔(𝑥(𝑡)) are discussed without monotonicity assumption for function g. It is proved that all solutions can be ex...

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Bibliographic Details
Main Authors: Lianwen Wang, Rhonda McKee
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/313725