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...

Full description

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
id doaj-d14aa5c3483044ba8d5962bbd877812b
record_format Article
spelling doaj-d14aa5c3483044ba8d5962bbd877812b2021-09-06T19:20:24ZengDe GruyterNonautonomous Dynamical Systems2353-06262018-07-015110211210.1515/msds-2018-0008msds-2018-0008Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time ScalesNegi Shekhar Singh0Abbas Syed1Malik Muslim2School of Basic Sciences, Indian Institute of Technology Mandi,Kamand, H.P. - 175005, IndiaSchool of Basic Sciences, Indian Institute of Technology Mandi,Kamand, H.P. - 175005, IndiaSchool of Basic Sciences, Indian Institute of Technology Mandi,Kamand, H.P. - 175005, IndiaBy 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.https://doi.org/10.1515/msds-2018-0008time scaleoscillationdynamic equationdynamic inequality34n0534k1139a1026d10
collection DOAJ
language English
format Article
sources DOAJ
author Negi Shekhar Singh
Abbas Syed
Malik Muslim
spellingShingle Negi Shekhar Singh
Abbas Syed
Malik Muslim
Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales
Nonautonomous Dynamical Systems
time scale
oscillation
dynamic equation
dynamic inequality
34n05
34k11
39a10
26d10
author_facet Negi Shekhar Singh
Abbas Syed
Malik Muslim
author_sort Negi Shekhar Singh
title Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales
title_short Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales
title_full Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales
title_fullStr Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales
title_full_unstemmed Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales
title_sort oscillation criteria of singular initial-value problem for second order nonlinear dynamic equation on time scales
publisher De Gruyter
series Nonautonomous Dynamical Systems
issn 2353-0626
publishDate 2018-07-01
description 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.
topic time scale
oscillation
dynamic equation
dynamic inequality
34n05
34k11
39a10
26d10
url https://doi.org/10.1515/msds-2018-0008
work_keys_str_mv AT negishekharsingh oscillationcriteriaofsingularinitialvalueproblemforsecondordernonlineardynamicequationontimescales
AT abbassyed oscillationcriteriaofsingularinitialvalueproblemforsecondordernonlineardynamicequationontimescales
AT malikmuslim oscillationcriteriaofsingularinitialvalueproblemforsecondordernonlineardynamicequationontimescales
_version_ 1717776995383771136

Similar Items