Asymptotic expansion of the solution of an integro-differential equation with exact asymptotics of the remainder

被引:0
作者
M. S. Sgibnev
机构
[1] Russian Academy of Sciences,Institute for Mathematics, Siberian Branch
来源
Differential Equations | 2008年 / 44卷
关键词
Singular Point; Asymptotic Expansion; Characteristic Equation; Asymptotic Property; Maximal Ideal;
D O I
暂无
中图分类号
学科分类号
摘要
We obtain an asymptotic expansion of the solution of an integro-differential equation of order n with the influence of the roots of the characteristic equation taken into account. The exact asymptotics of the remainder is established depending on the asymptotic properties of the kernel and the free term of the equation.
引用
收藏
页码:551 / 566
页数:15
相关论文
共 50 条
[31]   ASYMPTOTIC EXPANSION OF THE SOLUTION OF THE BISINGULARLY PERTURBED ELLIPTIC EQUATION [J].
Tursunov, Dilmurat Abdilllajanovich .
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2013, (26) :37-44
[32]   Asymptotic expansion of the solution of a second-order equation [J].
Ershov, A. A. .
MATHEMATICAL NOTES, 2009, 85 (1-2) :123-127
[33]   An asymptotic expansion of the fundamental solution for a parabolic equation and inverse problems [J].
V. G. Romanov .
Doklady Mathematics, 2015, 92 :541-544
[34]   An asymptotic expansion of the solution of a matrix difference equation of general form [J].
Sgibnev, M. S. .
SBORNIK MATHEMATICS, 2014, 205 (12) :1815-1828
[35]   ASYMPTOTIC EXPANSION OF THE SOLUTION OF A SINGULARLY PERTURBED ORDINARY SECOND-ORDER DIFFERENTIAL EQUATION WITH TWO TURNING POINTS [J].
Tursunov, Dilmurat Abdilllajanovich .
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2013, (21) :34-40
[36]   Asymptotic expansion for a delay differential equation with continuous and piecewise constant arguments [J].
Binda, Olivier ;
Pierre, Morgan .
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2007, 50 (03) :421-448
[37]   Asymptotic expansion of the solution of Navier-Stokes equation in a tube structure [J].
Panasenko, GP .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE, 1998, 326 (12) :867-872
[38]   Asymptotic expansion of the solution for nonlinear wave equation with the mixed homogeneous conditions [J].
Long, NT .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (03) :261-272
[39]   An asymptotic expansion of a solution of a nonlinear equation for a steady flow of a stratified fluid [J].
Antonov A.M. ;
Kravchuk S.V. .
Journal of Mathematical Sciences, 2001, 104 (6) :1587-1592