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Title: On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation

Abstract

We state sufficient conditions of the asymptotic stability on the semi-axis of solutions to a linear, homogeneous, sixth-order integrodifferential Volterra-type equation in the case where solutions of the corresponding linear, homogeneous, sixth-order differential equation are asymptotically unstable. We also present a new method and an illustrating example.

Authors:
 [1]
  1. Institute of Theoretical and Applied Mathematics of the National Academy of Sciences of the Kyrgyz Republic (Kyrgyzstan)
Publication Date:
OSTI Identifier:
22771286
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 5; Conference: International symposium on differential equations, Perm (Russian Federation), 17-18 May 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ASYMPTOTIC SOLUTIONS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRO-DIFFERENTIAL EQUATIONS; STABILITY; VOLTERRA INTEGRAL EQUATIONS

Citation Formats

Iskandarov, S., E-mail: mrmacintosh@list.ru. On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3769-1.
Iskandarov, S., E-mail: mrmacintosh@list.ru. On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation. United States. doi:10.1007/S10958-018-3769-1.
Iskandarov, S., E-mail: mrmacintosh@list.ru. Tue . "On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation". United States. doi:10.1007/S10958-018-3769-1.
@article{osti_22771286,
title = {On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation},
author = {Iskandarov, S., E-mail: mrmacintosh@list.ru},
abstractNote = {We state sufficient conditions of the asymptotic stability on the semi-axis of solutions to a linear, homogeneous, sixth-order integrodifferential Volterra-type equation in the case where solutions of the corresponding linear, homogeneous, sixth-order differential equation are asymptotically unstable. We also present a new method and an illustrating example.},
doi = {10.1007/S10958-018-3769-1},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 5,
volume = 230,
place = {United States},
year = {2018},
month = {5}
}