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

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

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 unstabl...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-05, Vol.230 (5), p.683-687
1. Verfasser: Iskandarov, S.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Asymptotic properties
ASYMPTOTIC SOLUTIONS
DIFFERENTIAL EQUATIONS
FUNCTIONS
INTEGRO-DIFFERENTIAL EQUATIONS
MATHEMATICAL METHODS AND COMPUTING
Mathematics
Mathematics and Statistics
STABILITY
VOLTERRA INTEGRAL EQUATIONS
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-3769-1