Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales

Raffoul, Youssef N.

Archivum mathematicum, Tome 52 (2016) no. 1, pp. 21-33

Abstract (VO)

In this research we establish necessary and sufficient conditions for the stability of the zero solution of scalar Volterra integro-dynamic equation on general time scales. Our approach is based on the construction of suitable Lyapunov functionals. We will compare our findings with known results and provides application to quantum calculus.

Détail

DOI : 10.5817/AM2016-1-21

Classification : 34D05, 34N05, 39A12, 45D05
Keywords: necessary; sufficient; time scales; Lyapunov functionals; stability; zero solution

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