On the existence of mild solutions of a nonconvex evolution inclusion

被引：0

作者：

Cernea, Aurelian ^{[1
]}

机构：

[1] Univ Bucharest, Fac Math & Informat, Bucharest 010014, Romania

来源：

MATHEMATICAL COMMUNICATIONS | 2008年 / 13卷 / 01期

关键词：

mild solution; fixed point; contractive set-valued map;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a Filippov type existence theorem for mild solutions of a nonconvex evolution inclusion by applying the contraction principle in the space of selections of the multifunction instead of the space of solutions.

引用

页码：107 / 114

页数：8

共 50 条

[1] On the set of mild solutions of a nonconvex nonclosed evolution inclusion
Cernea, Aurelian
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2011, 54 (02): : 109 - 117
[2] EXISTENCE OF MILD SOLUTIONS OF A SEMILINEAR NONCONVEX DIFFERENTIAL INCLUSION WITH NONLOCAL CONDITIONS
Aitalioubrahim, Myelkebir
MATEMATICKI VESNIK, 2011, 63 (03): : 181 - 190
[3] On the existence of solutions for a nonconvex hyperbolic differential inclusion of third order
Cernea, Aurelian
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016,
[4] On the existence of mild solutions for nonconvex fractional semilinear differential inclusions
Cernea, Aurelian
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (64) : 1 - 15
[5] On the local existence of solutions to a class of nonconvex evolution inclusions
Cernea A.
Rendiconti del Circolo Matematico di Palermo, 2002, 51 (2) : 355 - 366
[6] EXISTENCE OF MILD SOLUTIONS FOR FRACTIONAL EVOLUTION EQUATIONS
Zhang, Zufeng
Liu, Bin
FIXED POINT THEORY, 2014, 15 (01): : 325 - 334
[7] EXISTENCE OF MILD SOLUTIONS FOR FRACTIONAL EVOLUTION EQUATIONS
Zhou, Yong
Zhang, Lu
Shen, Xiao Hui
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2013, 25 (04) : 557 - 586
[8] BV Continuous Solutions of an Evolution Inclusion with Maximal Monotone Operator and Nonconvex-Valued Perturbation. Existence Theorem
Tolstonogov, A. A.
SET-VALUED AND VARIATIONAL ANALYSIS, 2021, 29 (01) : 29 - 60
[9] BV Continuous Solutions of an Evolution Inclusion with Maximal Monotone Operator and Nonconvex-Valued Perturbation. Existence Theorem
A. A. Tolstonogov
Set-Valued and Variational Analysis, 2021, 29 : 29 - 60
[10] Existence of mild solutions for fractional neutral evolution equations
Zhou, Yong
Jiao, Feng
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1063 - 1077

← 1 2 3 4 5 →