Interval Oscillation Criteria for Second Order Nonlinear Delay Differential Equations

Yang, Qigui; Mathsen, Ronald M.

doi:10.1216/rmjm/1181069815

Cited by 3 publications

(1 citation statement)

References 12 publications

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“…Since the functional term contained in (9) has a very general form, oscillation of the Eq. (9) cannot be demonstrated by other oscillation criteria given in the papers cited in this study, except [15,23]. In example 2.8, we have considered a very simple case k 1 .u; v/ D v, but if we consider Eq.…”

Section: Main Results Remarks and Applicationsmentioning

confidence: 84%

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

Öğrekçi

2015

Open Mathematics

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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.

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Section: Main Results Remarks and Applicationsmentioning

confidence: 84%

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

Öğrekçi

2015

Open Mathematics

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Oscillatory behavior of damped second-order nonlinear delay differential equations with riemann-stieltjes integral

Manjuram

Muthulakshmi

2020

AIP Conference Proceedings

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Second-order differential equations: some significant results due to James S.W. Wong

Kong¹,

Pašić²

2014

Differential Equations &Amp; Applications

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Abstract. Wong's contribution in the qualitative theory of second-order differential equations is well-known to a large mathematical auidence. Among a huge number of published Wong's papers, in this survey article, we analyze only a few Wong's theorems including their consequences, examples and many influences to other mathematicians dealing with oscillations of second-order differential and functional differential equations as well as of corresponding dynamic equations on time scales. (2010) Mathematics subject classification

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Interval Oscillation Criteria for Second Order Nonlinear Delay Differential Equations

Cited by 3 publications

References 12 publications

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

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

Oscillatory behavior of damped second-order nonlinear delay differential equations with riemann-stieltjes integral

Second-order differential equations: some significant results due to James S.W. Wong

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