Article
Licensed
Unlicensed
Requires Authentication
Oscillation of Solutions to Nonlinear Neutral Delay Differential Equations
-
S. H. Saker
Published/Copyright:
June 7, 2010
Abstract
In this paper we shall consider the nonlinear neutral delay differential equations with variable coefficients. Some new sufficient conditions for oscillation of all solutions are obtained. Our results extend and improve some of the well known results in the literature. Some examples are considered to illustrate our main results. The neutral logistic equation with variable coefficients is considered to give some new sufficient conditions for oscillation of all positive solutions about its positive steady state.
Key words and phrases.: Oscillation; nonlinear neutral delay differential equations; neutral delay logistic equation
Received: 2001-08-28
Revised: 2002-05-15
Published Online: 2010-06-07
Published in Print: 2002-December
© Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Mathematical Analysis and Optimal Control Problems for the Perturbation of the Primitive Equations of the Ocean with Vertical Viscosity
- On Density Topologies with Respect to Invariant σ-Ideals
- Singularly Perturbed Systems of Volterra Equations
- Nonlocal in Time Problems for Evolution Equations of Second Order
- Oscillation of Solutions to Nonlinear Neutral Delay Differential Equations
- On the Order Structure of Time Projection
- Hukuhara's Derivative and Concave Iteration Semigroups of Linear Set-Valued Functions
Keywords for this article
Oscillation;
nonlinear neutral delay differential equations;
neutral delay logistic equation
Articles in the same Issue
- Mathematical Analysis and Optimal Control Problems for the Perturbation of the Primitive Equations of the Ocean with Vertical Viscosity
- On Density Topologies with Respect to Invariant σ-Ideals
- Singularly Perturbed Systems of Volterra Equations
- Nonlocal in Time Problems for Evolution Equations of Second Order
- Oscillation of Solutions to Nonlinear Neutral Delay Differential Equations
- On the Order Structure of Time Projection
- Hukuhara's Derivative and Concave Iteration Semigroups of Linear Set-Valued Functions
