On stability and asymptotic stability of solutions for a linear fourth order Volterra integro-differential equation on the half-axis

DOI10.1134/S199508022307020XzbMath1526.35063MaRDI QIDQ6059295

A. T. Khalilov, S. Iskandarov

Publication date: 2 November 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionalstability of solutionsasymptotic stability of solutionsnon-standard reduction to systemsquaring equationVolterra integro-differential equation of fourth order

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• A certain Fredholm partial integro-differential equation of the third order
• On inverse boundary value problem for a Fredholm integro-differential equation with degenerate kernel and spectral parameter
• On a boundary-value problem for a fourth-order partial integro-differential equation with degenerate kernel
• On the solvability of a boundary value problem for the ordinary Fredholm integrodifferential equation with a degenerate kernel
• Perturbations of a nonlinear Volterra equation
• A non-linear Volterra equation not of convolution type
• Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney-Luke integro-differential equation with degenerate kernel
• Volterra integral and differential equations

This page was built for publication: On stability and asymptotic stability of solutions for a linear fourth order Volterra integro-differential equation on the half-axis