Halanay Inequality on Time Scales with Unbounded Coefficients and Its Applications

Boqun Ou ()
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Boqun Ou: Lingnan Normal University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 1023-1038

Abstract: Abstract In the present paper, we obtain a Halanay inequality on time scales with unbounded coefficient for a dynamic problem, which extends a result of Wen et al. (J. Math. Anal. Appl., 347 (2008), 169–178.) to the inequality of integral type on time scales. Moreover, we list two dynamic problems to which the Halanay inequality obtained above can be applied and prove the zero solution of two delay dynamic problems are asymptotically stable. Moreover, it is worth mentioning that the Halanay inequality obtained in the present paper is more precise than the results in [3, 14, 17].

Keywords: Halanay inequality of integral type; time scales; unbounded coefficients; asymptotically stable; 34A34; 34C11; 34D05 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0447-z

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