On the global solvability of the Cauchy problem for an infinite system of differential equations

被引：1

作者：

Khanmamedov, Ag. Kh. ^{[1
]}

机构：

[1] Baku State Univ, Baku, Azerbaijan

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 03期

关键词：

Banach Space; Periodic Solution; Cauchy Problem; Spin Lattice; Hierarchical System;

D O I：

10.1134/S0012266110030171

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy problem for the semi-infinite Volterra lattice with an asymptotically 2-periodic initial condition. We prove the global solvability of the problem in some class.

引用

页码：461 / 462

页数：2

共 50 条

[21] ON THE SOLVABILITY OF THE MODIFIED CAUCHY PROBLEM FOR LINEAR SYSTEMS OF IMPULSIVE DIFFERENTIAL EQUATIONS WITH SINGULARITIES
Ashordia, Malkhaz
Kharshiladze, Nato
MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 69 - 79
[22] Solvability of the Cauchy problem for higher-order linear functional differential equations
Bravyi, E. I.
DIFFERENTIAL EQUATIONS, 2012, 48 (04) : 465 - 476
[23] On the Unique Solvability of the Cauchy Problem for Some Difference-Differential Parabolic Equations
A. B. Muravnik
Differential Equations, 2004, 40 : 742 - 752
[24] On the unique solvability of the Cauchy problem for some difference-differential parabolic equations
Muravnik, AB
DIFFERENTIAL EQUATIONS, 2004, 40 (05) : 742 - 752
[25] Solvability of the Cauchy problem for higher-order linear functional differential equations
E. I. Bravyi
Differential Equations, 2012, 48 : 465 - 476
[26] Symmetries and global solvability of the Cauchy problem for the gas dynamics equations of isothermal flows
Shelukhin, VV
LeFloch, P
DOKLADY MATHEMATICS, 2004, 70 (02) : 719 - 724
[27] On the solvability of the Cauchy problem for the dusty gas equations
Doronin, G. G.
COMPUTATIONAL & APPLIED MATHEMATICS, 1999, 18 (02): : 163 - 172
[28] Solvability conditions of the Cauchy problem for pseudohyperbolic equations
G. V. Demidenko
Siberian Mathematical Journal, 2015, 56 : 1028 - 1041
[29] On solvability of the Cauchy problem for abstract parabolic equations
Zabreiko, PP
Shpilenya, EV
DOKLADY AKADEMII NAUK BELARUSI, 1995, 39 (04): : 13 - 17
[30] Solvability conditions of the Cauchy problem for pseudohyperbolic equations
Demidenko, G. V.
SIBERIAN MATHEMATICAL JOURNAL, 2015, 56 (06) : 1028 - 1041

← 1 2 3 4 5 →