Oscillation criteria for second-order nonlinear differential equations with nonlinear damping
نویسندگان
چکیده
Using generalized Riccati transformations, we derive new interval oscillation criteria for a class of general type second-order nonlinear differential equations with nonlinear damping. Examples are also given to illustrate the results. 2000 Mathematics Subject Classification: 34C10
منابع مشابه
Oscillation of Second-order Nonlinear Differential Equations with Damping
We study oscillatory properties of solutions to a class of nonlinear second-order differential equations with a nonlinear damping. New oscillation criteria extend those reported in [ROGOVCHENKO, Yu. V.—TUNCAY, F.: Oscillation criteria for second-order nonlinear differential equations with damping, Nonlinear Anal. 69 (2008), 208–221] and improve a number of related results. c ©2014 Mathematical ...
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By employing a generalized Riccati technique and an integral averaging technique, new oscillation criteria are established for a class of second-order nonlinear differential equations with damping term. These criteria extend, improve and unify a number of existing results and handle the cases which are not covered by the known criteria. In particular, several interesting examples that illustrat...
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We present new interval oscillation criteria for certain classes of second order nonlinear differential equations with damping that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t0;1), rather than on the whole half-line. Our results are sharper than some previous results and handle the cases which are not covered by...
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عنوان ژورنال:
- Computers & Mathematics with Applications
دوره 56 شماره
صفحات -
تاریخ انتشار 2008