OSCILLATION THEOREMS FOR CERTAIN EVEN ORDER NONLINEAR DAMPED DIFFERENTIAL EQUATIONS

In this paper, we are concerned with a class of nonlinear damped differential equations of even order. By using the generalized Riccati technique and the integral averaging technique, new oscillation criteria are obtained for every solution of the equations to be oscillatory.

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Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 2008-01, Vol.38 (3), p.1011-1035
Main Authors: TIRYAKI, AYDIN, BAŞCI, YASEMIN
Format: Article
Language:English
Subjects:
Continuous functions
Damping
Differential equations
functional differential equation
integral averaging method
Kernel functions
Mathematical inequalities
Mathematical integrals
Mathematical theorems
Ordinary differential equations
Oscillation
Second order differential equations
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Description
Summary:In this paper, we are concerned with a class of nonlinear damped differential equations of even order. By using the generalized Riccati technique and the integral averaging technique, new oscillation criteria are obtained for every solution of the equations to be oscillatory.
ISSN:0035-7596
1945-3795
DOI:10.1216/RMJ-2008-38-3-1011