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
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
收藏
页码:461 / 462
页数:2
相关论文
共 8 条
[1]  
BEREZANSKII YM, 1985, UKR MAT ZH, V37, P352
[2]   EXPLICITLY SOLUBLE SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS RELATED TO CERTAIN TODA LATTICES [J].
KAC, M ;
VANMOERBEKE, P .
ADVANCES IN MATHEMATICS, 1975, 16 (02) :160-169
[3]  
KHANMAMEDOV AK, 2005, DIFF URAVN, V41, P1134
[4]  
Krein S.G., 1967, Lineinye differentsial'nye uravneniya v banakhovom prostranstve
[5]  
MANAKOV SV, 1974, ZH EKSP TEOR FIZ+, V67, P543
[6]  
Takhtadzhyan L.A., 1986, Gamiltonov podkhod v teorii solitonov (Hamiltonian Approach to SolitonTheory)
[7]  
VESELOV AP, 1987, TEOR MAT FIZ, V71, P154
[8]  
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