Oscillation and non-oscillation criteria for linear nonhomogeneous systems of two first-order ordinary differential equations

The Riccati equation method is used to establish oscillation and non-oscillation criteria for nonhomogeneous linear systems of two first-order ordinary differential equations. It is shown that the obtained oscillation criterion is a generalization of J.S.W. Wong's oscillation criterion.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 507; no. 1; p. 125734
Main Author Grigorian, G.A.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.03.2022
Subjects
Non-oscillation
Nonhomogeneous linear systems of ordinary differential equations
Oscillation
Second-order linear ordinary differential equations
The Riccati equation method
Second-order linear ordinary differential equations
The Riccati equation method
Non-oscillation
Nonhomogeneous linear systems of ordinary differential equations
Oscillation
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Summary:The Riccati equation method is used to establish oscillation and non-oscillation criteria for nonhomogeneous linear systems of two first-order ordinary differential equations. It is shown that the obtained oscillation criterion is a generalization of J.S.W. Wong's oscillation criterion.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125734