On the impulsive Dirichlet problem for second-order differential inclusions

被引：2

作者：

Pavlackova, Martina ^{[1
]}

Taddei, Valentina ^{[2
]}

机构：

[1] Moravian Business Coll Olomouc, Dept Comp Sci & Appl Math, Tr Kosmonautu 1288-1, Olomouc 77900, Czech Republic

[2] Univ Modena & Reggio Emilia, Dept Sci & Methods Engn, Via G Amendola 2 Pad, I-42122 Reggio Emilia, Italy

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2020年 / 13期

关键词：

impulsive Dirichlet problem; differential inclusions; topological methods; bounding functions; Scorza-Dragoni technique; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.14232/ejqtde.2020.1.13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Solutions in a given set of an impulsive Dirichlet boundary value problem are investigated for second-order differential inclusions. The method used for obtaining the existence and the localization of a solution is based on the combination of a fixed point index technique developed by ourselves earlier with a bound sets approach and Scorza-Dragoni type result. Since the related bounding (Liapunov-like) functions are strictly localized on the boundaries of parameter sets of candidate solutions, some trajectories are allowed to escape from these sets.

引用

页数：22

共 29 条

[1] Multiple nonnegative solutions for second order impulsive differential equations [J].