Geodesic
Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales
Archivum mathematicum, Tome 52 (2016) no. 1, pp. 21-33.

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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.
DOI : 10.5817/AM2016-1-21
Classification : 34D05, 34N05, 39A12, 45D05
Mots-clés : necessary; sufficient; time scales; Lyapunov functionals; stability; zero solution 
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Raffoul, Youssef N. Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales. Archivum mathematicum, Tome 52 (2016) no. 1, pp. 21-33. doi : 10.5817/AM2016-1-21. https://geodesic-test.mathdoc.fr/articles/10.5817/AM2016-1-21/

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