Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains

Advances in Difference Equations

Sreenivasulu Ayyalappagari¹  Venkata Appa Rao Bhogapurapu² 

[1] Department of Mathematics, Koneru Lakshmaiah Education Foundation and Malla Reddy Institute of Technology and Science, Dhulapally, 500100, Secunderabad, Telangana, India;Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522502, Guntur, Andhra Pradesh, India;

关键词: Nonlinear Volterra integro-dynamic;    Stability;    Timescales;   

DOI  :  10.1186/s13662-021-03665-6

来源: Springer

【 摘 要 】

In this paper, we establish sufficient conditions for various stability aspects of a nonlinear Volterra integro-dynamic matrix Sylvester system on time scales. We convert the nonlinear Volterra integro-dynamic matrix Sylvester system on time scale to an equivalent nonlinear Volterra integro-dynamic system on time scale using vectorization operator. Sufficient conditions are obtained to this system for stability, asymptotic stability, exponential stability, and strong stability. The obtained results include various stability aspects of the matrix Sylvester systems in continuous and discrete models.

【 授权许可】

CC BY