6533b7d2fe1ef96bd125f7cf

RESEARCH PRODUCT

Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations

Yuriy V. RogovchenkoTongxing Li

subject

Class (set theory)Article SubjectDifferential equationlcsh:MathematicsApplied MathematicsDelay differential equationlcsh:QA1-939VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Integrating factorExamples of differential equationsStochastic partial differential equationNonlinear systemOrdinary differential equationCalculusApplied mathematicsAnalysisMathematics

description

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/143614 Open Access We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments. New theorems do not need several restrictive assumptions required in related results reported in the literature. Several examples are provided to show that the results obtained are sharp even for second-order ordinary differential equations and improve related contributions to the subject.

https://doi.org/10.1155/2014/143614