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- Title
On an estimate of solutions of a linear homogeneous Volterra integro-differential equation of the first order in the critical case on the half-line.
- Authors
Iskandarov, S.
- Abstract
We obtain sufficient conditions for a certain estimate to hold on the half-line for all solutions of a linear homogeneous Volterra integro-differential equation of the first order in the critical case. We present some corollaries concerning the absolute integrability of powers of the solutions on the half-line and the convergence of solutions to zero (including the exponential and power-law convergence) as the independent variable tends to infinity. Illustrative examples are given.
- Subjects
ESTIMATION theory; NUMERICAL solutions to linear differential equations; NUMERICAL solutions to Voterra equations; NUMERICAL solutions to integro-differential equations; EXPONENTIAL functions; POWER law (Mathematics)
- Publication
Differential Equations, 2016, Vol 52, Issue 8, p1030
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266116080085