Email this article The Lyusternik‒Sobolev lemma and the specific asymptotic stability of solutions of linear homogeneous Volterra-type integro-differential equations of order 3
- Authors: Imanaliev M.1, Asanova K.A.1, Iskandarov S.1
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Affiliations:
- Institute of Theoretical and Applied Mathematics
- Issue: Vol 94, No 1 (2016)
- Pages: 418-422
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224027
- DOI: https://doi.org/10.1134/S1064562416040190
- ID: 224027
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Abstract
Sufficient conditions for the asymptotic stability on a half-line of the solutions of a linear homogeneous Volterra-type integro-differential equation of order 3 in the case where the solutions of the corresponding linear homogeneous differential equation are asymptotically unstable are determined. A new method is proposed, and an illustrative example is constructed.
About the authors
M. Imanaliev
Institute of Theoretical and Applied Mathematics
Author for correspondence.
Email: mimanaliev@fromru.com
Kyrgyzstan, pr. Chui 265a, Bishkek, 720071
K. A. Asanova
Institute of Theoretical and Applied Mathematics
Email: mimanaliev@fromru.com
Kyrgyzstan, pr. Chui 265a, Bishkek, 720071
S. Iskandarov
Institute of Theoretical and Applied Mathematics
Email: mimanaliev@fromru.com
Kyrgyzstan, pr. Chui 265a, Bishkek, 720071
