NEUMANN BOUNDARY VALUE PROBLEMS FOR LOWER SEMI-CONTINUOUS NON-CONVEX DIFFERENTIAL INCLUSIONS WITH φ-LAPLACIAN

被引：0

作者：

Askouraye, Najib ^{[1
]}

Tebbaa, Ahmed ^{[1
]}

Aitalioubrahim, Myelkebir ^{[1
]}

机构：

[1] Univ Sultan Moulay Slimane, Fac Polydisciplinary, BP 145, Khouribga, Morocco

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2025年 / 51卷 / 01期

关键词：

differential inclusion; boundary value problem; lower semi-continuous multifunction; measurability; fixed point index; EXISTENCE;

D O I：

10.30546/2409-4994.2025.51.1.1006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a combination of upper and lower solutions method with the topological degree approach, we establish the existence of solutions that satisfy the Neumann conditions for the given differential inclusion (phi(x '(t)))' is an element of F(t, x(t)), where F denotes a lower semi-continuous multi-valued map and phi represents an homeomorphism.

引用

页码：31 / 41

页数：11

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