Second-order set-valued differential equations with boundary conditions

被引：5

作者：

Azzam-Laouir, Dalila ^{[1
]}

Boukrouk, Wafiya ^{[1
]}

机构：

[1] Univ Jijel, Lab Pure & Appl Math, Jijel, Algeria

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2015年 / 17卷 / 01期

关键词：

Boundary conditions; Green's function; Hukuhara derivatives; HUKUHARA DIFFERENTIABILITY; BANACH-SPACES; INCLUSIONS; CONVEXITY; SYSTEMS;

D O I：

10.1007/s11784-015-0236-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence and uniqueness of a solution for a second-order set-valued differential equation with three-point boundary conditions, where the perturbation is measurable with respect to the time variable and Lipschitzian with respect to the second and third variables.

引用

页码：99 / 121

页数：23

共 33 条

[1]

[Anonymous], 1969, BOLLETTINO DELL UNIO

[2]

[Anonymous], 1993, ANN FAC SCI TOULOUSE

[3]

Azzam DL, 2002, CONTROL CYBERN, V31, P659

[4]

Azzam-Laouir D., 2014, PREPUBLICATIONS LAB

[5] Self-similar fold evolution under prescribed end-shortening [J].

Budd, CJ ;

Hunt, GW ;

Peletier, MA .

MATHEMATICAL GEOLOGY, 1999, 31 (08) :989-1005

[6]

de Blasi FS, 2007, CONTROL CYBERN, V36, P571

[7]

DEBLASI FS, 1968, ATTI ACCAD NAZ LIN, V45, P252

[8] BIFURCATION GAP IN A HYBRID OPTICALLY BISTABLE SYSTEM [J].

DERSTINE, MW ;

GIBBS, HM ;

HOPF, FA ;

KAPLAN, DL .

PHYSICAL REVIEW A, 1982, 26 (06) :3720-3722

[9]

Doelman A, 1997, J NONLINEAR SCI, V7, P371

[10]

Dugundji J., 1966, Topology

← 1 2 3 4 →