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Oscillatory Criteria for Nonlinear n th-Order Differential Equations with Quasiderivatives

Oscillatory Criteria for Nonlinear n th-Order Differential Equations with Quasiderivatives Sufficient conditions are given for the existence of oscillatory proper solutions of a differential equation with quasiderivatives L n y = f ( t , L 0 y , . . . , L n –1 y ) under the validity of the sign condition f ( t , x 1 , . . . , x n ) x 1 ≤ 0, f ( t , 0, x 2 , . . . , x n ) = 0 on . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Oscillatory Criteria for Nonlinear n th-Order Differential Equations with Quasiderivatives

Bartušek, Miroslav
Georgian Mathematical Journal , Volume 3 (4) – Aug 1, 1996
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Publisher
de Gruyter
Copyright
© 1996 Plenum Publishing Corporation
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.1996.301
Publisher site
See Article on Publisher Site

Abstract

Sufficient conditions are given for the existence of oscillatory proper solutions of a differential equation with quasiderivatives L n y = f ( t , L 0 y , . . . , L n –1 y ) under the validity of the sign condition f ( t , x 1 , . . . , x n ) x 1 ≤ 0, f ( t , 0, x 2 , . . . , x n ) = 0 on .

Journal

Georgian Mathematical Journal – de Gruyter

Published: Aug 1, 1996

Keywords: Oscillatory solutions; existence criteria; differential equation of n th order

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