SUFFICIENT CONDITIONS FOR VARIATIONAL-PROBLEMS WITH VARIABLE END-POINTS - COUPLED POINTS

被引：21

作者：

ZEIDAN, V

机构：

[1] Department of Mathematics, University of Waterloo, Waterloo, N2L 3GI, Ontario

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1993年 / 27卷 / 02期

关键词：

CALCULUS OF VARIATIONS; NONLINEAR BOUNDARY VALUE PROBLEMS; COUPLED POINTS; REGULAR PROBLEMS; SUFFICIENT CONDITIONS; RICCATI EQUATION; HAMILTON-JACOBI INEQUALITY;

D O I：

10.1007/BF01195982

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we demonstrate that the notion of coupled points developed in [29] for the variable endpoints variational problems is the analog of that of conjugate points when the endpoints are fixed. We provide weak and strong local optimality criteria using the strengthening of necessary conditions involving both the coupled points and the regularity concepts.

引用

页码：191 / 209

页数：19

共 31 条

[1]

Akhiezer N. I., 1962, CALCULUS VARIATIONS

[2] ONE-DIMENSIONAL VARIATIONAL-PROBLEMS WHOSE MINIMIZERS DO NOT SATISFY THE EULER-LAGRANGE EQUATION [J].