Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales

Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales

By using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented. Example with various time scales is given to...

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Bibliographic Details
Main Authors: Negi Shekhar Singh, Abbas Syed, Malik Muslim
Format: Article
Language:English
Published: De Gruyter 2018-07-01
Series:Nonautonomous Dynamical Systems
Subjects:
time scale
oscillation
dynamic equation
dynamic inequality
34n05
34k11
39a10
26d10
Online Access:https://doi.org/10.1515/msds-2018-0008
Description
Summary:By using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented. Example with various time scales is given to illustrate the analytical findings.
ISSN:2353-0626

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