Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 11, pp. 1-17.

Title: Riccati-type inequality  and oscillation criteria 
       for a half-linear PDE with damping

Author: Robert Marik (Mendel Univ., Czech Republic)

Abstract: 
  Under suitable conditions on the coefficients of a partial
  differential equation, we prove a Riccati-type inequality.
  As an application of this result, we find  oscillation
  criteria for second order damped half-linear partial differential
  equations. These criteria improve and complement
  earlier results on oscillation for partial  differential equations.
  The main feature in our results is that the oscillation criteria
  are not radially symmetric and do not depend only on the mean value
  of the coefficients. We consider unbounded domains and state a special
  oscillation criterion for conic domains.


Submitted October 10, 2003. Published January 15, 2004.
Math Subject Classifications: 35J60, 35B05.
Key Words: p-Lapalacian; oscillatory solution; Riccati equation;
    half-linear equation; damped equation; differential equation.