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Oscillation criteria for a class of third-order nonlinear neutral differential equations
-
Jichao Zhong
and
Shuliang Zou
Published/Copyright:
October 21, 2011
Abstract
A class of third-order nonlinear neutral differential equation
(r(t)(y″(t))α)′ + q(t) ƒ(x(σ(t))) = 0
is investigated in this paper, where y(t) = x(t) + p(t)x(τ(t)), and α > 0 is any quotient of odd integers. Using a new method, we obtain some sufficient conditions for the oscillation of the above equation, and some known oscillation criteria be extended. An example is inserted to illustrate the result.
Keywords.: Oscillation; third-order; nonlinear; neutral differential equation; eventually positive solution
Received: 2009-12-07
Revised: 2010-05-04
Accepted: 2010-07-27
Published Online: 2011-10-21
Published in Print: 2011-December
© de Gruyter 2011
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Keywords for this article
Oscillation;
third-order;
nonlinear;
neutral differential equation;
eventually positive solution
Articles in the same Issue
- Oscillation criteria for a class of third-order nonlinear neutral differential equations
- Ellipses numbers and geometric measure representations
- Duals of homogeneous weighted sequence Besov spaces and applications
- On positive definite and stationary sequences with respect to polynomial hypergroups
- Relative functional entropy in convex analysis
- Damped wave equations with dynamic boundary conditions
- On Nemytskij operator in the space of absolutely continuous set-valued functions
