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- Title
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.; Asanova, K.; Iskandarov, S.
- 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.
- Subjects
ASYMPTOTIC theory in integro-differential equations; ASYMPTOTIC distribution; NUMERICAL solutions to Voterra equations; NUMERICAL solutions to integro-differential equations; HOMOGENEOUS spaces
- Publication
Doklady Mathematics, 2016, Vol 94, Issue 1, p418
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562416040190