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eng
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Description
This paper is concerned with the oscillation problem for nonlinear differential equations of Euler type, which are denoted by (En) with n = 1, 2, 3, . . . . Equation (En) consists of a linear main term and a nonlinear perturbed term. If the nonlinear perturbation vanishes, then all nontrivial solutions of (En) are nonoscillatory. A pair of sufficient and necessary conditions on the perturbed term for all nonlinear solutions of (En) to be oscillatory is given. It is also proved that all solutions of (En) tend to zero.
Journal Title
The Rocky Mountain journal of mathematics
Volume
34
Issue
4
Start Page
1519
End Page
1537
ISSN
00357596
Published Date
2004-11
DOI
Publisher
Rocky Mountain Mathematics Consortium
NII Type
Journal Article
Format
PDF
Rights
Copyright © 2004 Rocky Mountain Mathematics Consortium
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering