Geodesic
Oscillation of fourth-order quasilinear differential equations
Mathematica Bohemica, Tome 140 (2015) no. 4, pp. 405-418

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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.
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.
DOI : 10.21136/MB.2015.144459
Classification : 34K11
Keywords: oscillation; quasilinear functional differential equation; delayed argument; advanced argument 
Li, Tongxing; Rogovchenko, Yuriy V.; Zhang, Chenghui. Oscillation of fourth-order quasilinear differential equations. Mathematica Bohemica, Tome 140 (2015) no. 4, pp. 405-418. doi: 10.21136/MB.2015.144459
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