OSCILLATORY BEHAVIOR OF SEMI-CANONICAL THIRD-ORDER DELAY DIFFERENTAL EQUATIONS WITH A SUPERLINEAR NEUTRAL TERM

A class of third-order semi-canonical differential equations with a superlinear neutral term of the type ( a ( t ) [ ( b ( t ) ( x ( t ) + p ( t ) x α ( τ ) ) ’ ) ’ ] β ) + q ( t ) x λ ( σ ( t ) ) = 0 is considered. Some oscillation conditions are presented which are new in form and complement those...

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Bibliographic Details
Published inApplicable analysis and discrete mathematics Vol. 18; no. 2; pp. 477 - 490
Main Authors Vidhyaa, K. S., Deepalakshmi, R., Graef, John R., Thandapani, E.
Format Journal Article
LanguageEnglish
Published University of Belgrade, Serbia 01.01.2024
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ISSN1452-8630
2406-100X
DOI10.2298/AADM210812006V

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Summary:A class of third-order semi-canonical differential equations with a superlinear neutral term of the type ( a ( t ) [ ( b ( t ) ( x ( t ) + p ( t ) x α ( τ ) ) ’ ) ’ ] β ) + q ( t ) x λ ( σ ( t ) ) = 0 is considered. Some oscillation conditions are presented which are new in form and complement those already reported in the literature. Some examples illustrating the main results are provided.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM210812006V