On variational formulations for functional differential equations

被引：4
作者：
Kolesnikova, I. A. [1 ]
Popov, A. M. [1 ]
Savchin, V. M. [1 ]
机构：
[1] Patrice Lumumba Peoples Friendship Univ, Moscow 117198, Russia
来源：
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2007年 / 5卷 / 01期
关键词：
functional differential equations; inverse problem of the calculus of variations; conditions of potentiality; variational principles;
D O I：
10.1155/2007/130879
中图分类号：
学科分类号：
摘要：
Necessary and sufficient conditions for the existence of integral variational principles for boundary value problems For given ordinary and partial functional differential equations are obtained. Examples are given illustrating the results.
引用
收藏
页码：89 / 101
页数：13
相关论文
共 13 条
[1]  
[Anonymous], 1913, LECONS EQUATIONS INT
[2]  
ELSGOLTZ LE, 1964, T MATH MONO AM MATH, V12
[3]  
Filippov V. M., 1994, J. Math. Sci., V68, P275, DOI [10.1007/BF01252319, DOI 10.1007/BF01252319]
[4]  
HALE JK, 1977, THEORY FUNCTIONAL DI
[5]  
Hughes D. K., 1968, Journal of Optimization Theory and Applications, V2, P1, DOI 10.1007/BF00927159
[6]  
Kamenskii G. A., 1970, DIFF URAVN, V69, P1349
[7]  
Popov A. M., 1998, DIFFERENTS URAUN, V34, P422
[8]  
Sabbagh L. D., 1969, Journal of Optimization Theory and Applications, V3, P34, DOI 10.1007/BF00929540
[9]  
Santilli R. M., 1978, Foundations of Theoretical Mechanics, VI
[10]  
SAVCHIN VM, 1994, 35 SCI C DEP PHYS MA, P25
12