Guiding functions and periodic solutions for inclusions with causal multioperators

被引：6

作者：

Kornev, Sergei ^{[1
]}

Obukhovskii, Valeri ^{[1
]}

Zecca, Pietro ^{[2
]}

机构：

[1] Voronezh State Pedag Univ, Fac Math & Phys, Voronezh, Russia

[2] Univ Florence, Dipartimento Matemat & Informat U Dini, Florence, Italy

来源：

APPLICABLE ANALYSIS | 2017年 / 96卷 / 03期

关键词：

Periodic solution; differential inclusion; causal operator; guiding function; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS;

D O I：

10.1080/00036811.2016.1139088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, the method of guiding functions is applied to study the periodic problem for a differential inclusionwith a causal multioperator. At first we consider the case when the multioperator is closed and convexvalued. Then the case of a non-convex-valued and lower semicontinuous right-hand part is considered. Thereafter, the theory is extended to the case of non-smooth guiding functions.

引用

页码：418 / 428

页数：11

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