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On the oscillation of nonlinear two-dimensional differential systems
Author(s):
I.-G.
E.
Kordonis;
Ch.
G.
Philos
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1661-1667.
MSC (1991):
Primary 34C10
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Abstract:
An oscillation criterion is given for a certain form of nonlinear two-dimensional differential systems. This criterion originated in a well-known oscillation result due to Coles (as extended and improved by Wong) concerning second order nonlinear differential equations with alternating coefficients.
References:
- 1.
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- 2.
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- 3.
- W. J. Coles, Oscillation criteria for nonlinear second order equations, Ann. Mat. Pura Appl. 82 (1969), 123-134. MR 41:567
- 4.
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- 5.
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- 7.
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- 9.
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- 11.
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- 12.
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Additional Information:
I.-G.
E.
Kordonis
Affiliation:
Department of Mathematics University of Ioannina 451 10 Ioannina, Greece
Email:
cphilos@cc.uoi.gr
Ch.
G.
Philos
Affiliation:
Department of Mathematics University of Ioannina 451 10 Ioannina, Greece
DOI:
10.1090/S0002-9939-98-04503-1
PII:
S 0002-9939(98)04503-1
Keywords:
Differential system,
solution,
oscillation
Received by editor(s):
September 23, 1996
Communicated by:
Hal L. Smith
Copyright of article:
Copyright
1998,
American Mathematical Society
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