Oscillation of fourth-order quasilinear differential equations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2015 Norway Latin Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Mathematica Bohemica, volume 140, pages 405-418 (issn: 0862-7959, eissn: 2464-7136,

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Authors: Rogovchenko, Yuriy; Li, Tongxing; Zhang, Chengchui;

doi: 10.21136/mb.2015.144459

handle: 11250/2372532

Oscillation of fourth-order quasilinear differential equations

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Abstract

Summary: We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these. New theorems are based on a thorough analysis of possible behavior of nonoscillatory solutions; they complement and improve a number of results reported in the literature. Three illustrative examples are presented.

Country

Norway

Related Organizations

University of Agder
Norway

Keywords

quasilinear functional-differential equation, delayed argument, Oscillation theory of functional-differential equations, advanced argument, oscillation

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