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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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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Abstract 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.
AbstractList 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.
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?(? (t))?)?]?)? + q(t)x?(?(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.
Author Graef, John R.
Deepalakshmi, R.
Thandapani, E.
Vidhyaa, K. S.
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10.1143/PTP.56.679
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10.3390/math8050686
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Snippet 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 ) )...
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?(? (t))?)?]?)? +...
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Title OSCILLATORY BEHAVIOR OF SEMI-CANONICAL THIRD-ORDER DELAY DIFFERENTAL EQUATIONS WITH A SUPERLINEAR NEUTRAL TERM
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Volume 18
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