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Oscillation of first order neutral differential equations of Euler form
-
Kaizhong Guan
Veröffentlicht/Copyright:
25. September 2009
In this paper, we investigate the first order neutral differential equation of Euler form with variable unbounded delay
where 0 ≤ c < 1, 0 < α < 1, 0 < βi < 1 and pi > 0 are constants, i=1,2,…,n. Some necessary and sufficient as well as explicit sufficient conditions for the oscillation of all solutions are established.
Received: 2006-5-18
Accepted: 2006-7-11
Published Online: 2009-9-25
Published in Print: 2007-8-1
© Oldenbourg Wissenschaftsverlag
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Artikel in diesem Heft
- Enclosure, separation, and computation of the zeros of exponential trinomials with constant coefficients and real exponential points
- Asymptotic estimates for a semigroup related to compressible viscous fluid flow
- Oscillation of first order neutral differential equations of Euler form
- WENO-TVD schemes for hyperbolic conservation laws
- Special functions and the Mellin transforms of Laguerre and Hermite functions
- On a class of extremal solutions of the nondegenerate matricial Carathéodory problem
- Removable singularities of fully nonlinear elliptic equations
Schlagwörter für diesen Artikel
oscillation;
neutral differential equation;
variable unbounded delay;
Euler form
Artikel in diesem Heft
- Enclosure, separation, and computation of the zeros of exponential trinomials with constant coefficients and real exponential points
- Asymptotic estimates for a semigroup related to compressible viscous fluid flow
- Oscillation of first order neutral differential equations of Euler form
- WENO-TVD schemes for hyperbolic conservation laws
- Special functions and the Mellin transforms of Laguerre and Hermite functions
- On a class of extremal solutions of the nondegenerate matricial Carathéodory problem
- Removable singularities of fully nonlinear elliptic equations
