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 unstable. We also present a new method and an illustrating example.
Keywords and phrasesintegrodifferential equation specific asymptotic stability method of squaring method of shearing functions Lyusternik–Sobolev lemma
AMS Subject Classification53A40 20M15
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