Using the Riccati substitution we derive new sufficient conditions which ensure that the half-linear partial differential equation with p-Laplacian and damping in the form of Equation (E) in the paper is oscillatory. These criteria, called interval criteria in theory of ODE's, allow to eliminate “bad parts” of the potential function c(x) from our considerations. Some of the results are new even in the case when (E) becomes linear ordinary differential equation.
Interval - mtype Oscillation Criteria for Half - Linear PDE with Damping,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 1,
1, Article 1.
Available at: https://digitalcommons.pvamu.edu/aam/vol1/iss1/1