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

Nonautonomous Dynamical Systems

Negi Shekhar Singh¹  Abbas Syed¹  Malik Muslim¹ 

[1] School of Basic Sciences, Indian Institute of Technology Mandi,Kamand, H.P. - 175005, India;

关键词: time scale;    oscillation;    dynamic equation;    dynamic inequality;    34n05;    34k11;    39a10;    26d10;   

DOI  :  10.1515/msds-2018-0008

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown