6533b81ffe1ef96bd1277298
RESEARCH PRODUCT
Oscillation of fourth-order quasilinear differential equations
Yuriy V. RogovchenkoTongxing LiChenghui Zhangsubject
Class (set theory)Fourth orderDifferential equationOscillationGeneral MathematicsMathematical analysisArgument (linguistics)MathematicsComplement (set theory)description
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.
year | journal | country | edition | language |
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2015-01-01 |