Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients

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dc.contributor.authorHasil, Petr
dc.contributor.authorVesely, Michal
dc.date.accessioned2022-01-03T14:55:39Z
dc.date.available2022-01-03T14:55:39Z
dc.date.issued2018-01-17
dc.description.abstractWe analyze second-order half-linear dynamic equations on time scales. We prove oscillation and non-oscillation criteria which are sharp in the sense that the considered equations remain uncovered only for one setting of their coefficients. We continue in the research of the so-called conditional oscillation. The previously known conditionally oscillatory dynamic equations were allowed to contain only periodic coefficients. In the presented results, we deal with bounded coefficients (among others, our results cover coefficients which are periodic, almost periodic, having mean values, etc.). We point out that the results are new even for linear dynamic equations. We also provide corollaries to illustrate the novelty of our results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHasil, P., & Vesely, M. (2018). Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients. <i>Electronic Journal of Differential Equations, 2018</i>(24), pp. 1-22.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15080
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectTime scale
dc.subjectDynamic equation
dc.subjectOscillation criteria
dc.subjectConditional oscillation
dc.subjectRiccati technique
dc.subjectHalf-linear equation
dc.subjectLinear equation
dc.titleOscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients
dc.typeArticle

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