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

Electronic Journal of Differential Equations

关键词: p-Lapalacian;    oscillatory solution;    Riccati equation;    half-linear equation;    damped equation;    differential equation.;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown