New interval oscillation criteria for second-order functional differential equations with nonlinear damping

• Autorzy: Süleyman Öǧrekçi
• Języki publikacji: EN

Abstrakty

EN

This paper concerns the oscillation problem of second-order nonlinear damped ODE with functional terms.We give some new interval oscillation criteria which is not only based on constructing a lower solution of a Riccati type equation but also based on constructing an upper solution for corresponding Riccati type equation. We use a recently developed pointwise comparison principle between those lower and upper solutions to obtain our results. Some illustrative examples are also provided to demonstrate our results.

Słowa kluczowe

EN

Differential equations; Functional term; Oscillation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2014-08-13

zaakceptowano

2015-01-22

online

2015-02-16

Twórcy

autor

Süleyman Öǧrekçi

• Department of Mathematics, Sciences & Arts Faculty, Amasya University, Amasya,
  Turkey

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0023