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Publication Date:
February 2010
ISSN:
1572-9176
DOI:
10.1515/GMJ.1995.593

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Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.

Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, J. / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

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More on Oscillation of nth-Order Equations

Witold A. J. Kosmala1

1Department of Mathematical Sciences, Appalachian State University, Boone, North Carolina 28608, USA

Citation Information: Georgian Mathematical Journal. Volume 2, Issue 6, Pages 593–602, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.1995.593, February 2010

Publication History:
Received:
1994-02-10
Published Online:
2010-02-23

Abstract

In this paper we prove that a higher-order differential equation with one middle term has every bounded solution oscillatory. Moreover, the behavior of unbounded solutions is given. Two other results dealing with positive solutions are also given.

Key words and phrases.: Higher-order equation; oscillatory, bounded, or positive solutions

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