2021
DOI: 10.1007/s12190-021-01688-6
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Stability and controllability for Volterra integro-dynamical matrix Sylvester impulsive system on time scales

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Cited by 3 publications
(1 citation statement)
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“…Recently, the authors [15] developed the Volterra integro-dynamical systems (Shorts: VIDS), the relation between Volterra integral systems and linear dynamic systems, the reciprocity property of kernels, Piccard iterates, a particular type of resolvent kernels, the notion of the resolvent kernel in the formulation of the solution. In [18] existence, uniqueness and Ulma's types stability of VIDS, stability criteria for nonlinear VIDS [19], and stability and controllability of VIDS [20]. In [6], examined the necessary and sufficient conditions are specified for the ψ-bounded solution on time scales.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, the authors [15] developed the Volterra integro-dynamical systems (Shorts: VIDS), the relation between Volterra integral systems and linear dynamic systems, the reciprocity property of kernels, Piccard iterates, a particular type of resolvent kernels, the notion of the resolvent kernel in the formulation of the solution. In [18] existence, uniqueness and Ulma's types stability of VIDS, stability criteria for nonlinear VIDS [19], and stability and controllability of VIDS [20]. In [6], examined the necessary and sufficient conditions are specified for the ψ-bounded solution on time scales.…”
Section: Introductionmentioning
confidence: 99%