Asymptotic behavior for third-order quasi-linear differential equations

Abstract

Abstract In this paper, a class of third-order quasi-linear differential equations withcontinuously distributed delay is studied. Applying the generalized Riccatitransformation, integral averaging technique of Philos type and Young’sinequality, a set of new criteria for oscillation or certain asymptoticbehavior of nonoscillatory solutions of this equations is given. Our resultsessentially improve and complement some earlier publications.