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Oscillatory and asymptotic behavior of third-order nonlinear differential equations with a superlinear neutral term
Author(s) -
Said R. Grace,
Irena Jadlovská,
Ercan Tunç
Publication year - 2020
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-2004-85
Subject(s) - mathematics , term (time) , nonlinear system , class (philosophy) , mathematical analysis , zero (linguistics) , order (exchange) , differential equation , third order , physics , philosophy , theology , finance , quantum mechanics , economics , linguistics , artificial intelligence , computer science
Sufficient conditions are derived for all solutions of a class of third-order nonlinear differential equations with a superlinear neutral term to be either oscillatory or convergent to zero asymptotically. Examples illustrating the results are included and some suggestions for further research are indicated.

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