ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS

doi:10.1007/s10473-020-0416-y

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (4): 1105-1115.doi: 10.1007/s10473-020-0416-y

ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS

Hamid KHODAEI¹, Iz-iddine EL-FASSI², Bahman HAYATI¹

1. Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran;
2. Department of Mathematics, Faculty of Sciences and Techniques, Sidi Mohamed ben Abdellah University, B. P. 2202, Fez, Morocco

收稿日期:2019-03-19 修回日期:2019-08-30 出版日期:2020-08-25 发布日期:2020-08-21
作者简介:Hamid KHODAEI,E-mail:hkhodaei@malayeru.ac.ir,hkhodaei.math@gmail.com;Iz-iddine EL-FASSI,E-mail:izidd-math@hotmail.fr,izelfassi.math@gmail.com;Bahman HAYATI,E-mail:hayati@malayeru.ac.ir

ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS

Hamid KHODAEI¹, Iz-iddine EL-FASSI², Bahman HAYATI¹

1. Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran;
2. Department of Mathematics, Faculty of Sciences and Techniques, Sidi Mohamed ben Abdellah University, B. P. 2202, Fez, Morocco

Received:2019-03-19 Revised:2019-08-30 Online:2020-08-25 Published:2020-08-21

摘要/Abstract

摘要： We discuss the set-valued dynamics related to the theory of functional equations. We look for selections of convex set-valued functions satisfying set-valued Euler-Lagrange inclusions. We improve and extend upon some of the results in [13, 20], but under weaker assumptions. Some applications of our results are also provided.

关键词: set-valued dynamics, Euler-Lagrange inclusion, composite operator, selection

Abstract: We discuss the set-valued dynamics related to the theory of functional equations. We look for selections of convex set-valued functions satisfying set-valued Euler-Lagrange inclusions. We improve and extend upon some of the results in [13, 20], but under weaker assumptions. Some applications of our results are also provided.

Key words: set-valued dynamics, Euler-Lagrange inclusion, composite operator, selection

中图分类号:

54C60

Hamid KHODAEI, Iz-iddine EL-FASSI, Bahman HAYATI. ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS[J]. 数学物理学报(英文版), 2020, 40(4): 1105-1115.

Hamid KHODAEI, Iz-iddine EL-FASSI, Bahman HAYATI. ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS[J]. Acta mathematica scientia,Series B, 2020, 40(4): 1105-1115.

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ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS

ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS

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