On the Existence of Variational Principles for a Class of the Evolutionary Differential-Difference Equations

被引:2
作者
Kolesnikova, I. A. [1 ]
Savchin, V. M. [1 ]
机构
[1] Univ Russia, Moscow 117198, Russia
来源
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1155/2012/780382
中图分类号
学科分类号
摘要
Necessary and sufficient conditions for the existence of variational principles for a given wide class of evolutionary differential-difference operator equation are obtained. The theoretic results are illustrated by two examples.
引用
收藏
页数:9
相关论文
共 9 条
[1]  
El'sgol'tz L. E., 1964, TRANSLATIONS MATH MO, V1
[2]  
Filippov V.M., 1994, Journal of Mathematical Sciences, V68, P275
[3]  
Kamenskii G. A., 1970, DIFF URAVN, V69, P1349
[4]   On variational formulations for functional differential equations [J].
Kolesnikova, I. A. ;
Popov, A. M. ;
Savchin, V. M. .
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2007, 5 (01) :89-101
[5]  
Popov A. M., 1998, DIFFERENTS URAUN, V34, P422
[6]  
Savchin V. M., 1995, Vestnik Rossiiskogo universiteta druzhby narodov. Seriia: Matematika, V2, P111
[7]  
Savchin V. M., 1994, P 35 SCI C DEP PHY 2, P25
[8]  
Savchin V. M., 2003, DIFF URAVN, V39, P118
[9]  
Skubachevskii A. L., 1997, OPER THEORY ADV APPL, V91