Hille-Nehari type non-oscillation criteria for half-linear dynamic equations with mixed derivatives on a time scale

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dc.contributor.authorIshibashi, Kazuki
dc.date.accessioned2022-10-25T18:43:15Z
dc.date.available2022-10-25T18:43:15Z
dc.date.issued2021-09-15
dc.description.abstractThis article deals with half-linear dynamic equations that have two types of derivatives, and obtains sufficient conditions for all solutions to be non-oscillatory. The obtained results extend a previous Hille-Nehari type theorems for problems of dynamic equations. To prove our main result, we use a generalized Riccati inequality. As an application, we apply the main result to self-adjoint Euler type linear differential and difference equations with a changing sign coefficient. The equation selected for this application is of Mathieu type.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationIshibashi, K. (2021). Hille-Nehari type non-oscillation criteria for half-linear dynamic equations with mixed derivatives on a time scale. <i>Electronic Journal of Differential Equations, 2021</i>(78), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16236
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHalf-linear dynamic equations
dc.subjectNonoscillation
dc.subjectTime scale
dc.subjectRiccati dynamic inequality
dc.subjectLinear differential equation
dc.subjectLinear difference equation
dc.titleHille-Nehari type non-oscillation criteria for half-linear dynamic equations with mixed derivatives on a time scale
dc.typeArticle

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