Asymptotic formulas for the solutions of integro-differential equations

Abstract:

We study the problem of asymptotic integration of the linear integro-differential equation ft x⁽ⁿ⁾(t) + a<inf>n-l</inf>(t)x^(n-1)(t) + ⋯ + a<inf>0</inf>(t)x(t)= ∫<inf>0</inf>^t K(t,s)x(s)ds, and the achievement of an asymptotic formula for the solutions of the equation x⁽ⁿ⁾(t)+a^n-1(t)x^(n-1)(t) + ⋯ + a<inf>0</inf>(t)x(t) = ∫<inf>0</inf>^t K(t,s)x(s)ds+f(t). Jo © 2000 Akadémiai Kiadó.

Año de publicación:

2000

Keywords:

Fuente:

scopus

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