Optimal control problem for some integrodifferential equations in Banach spaces

被引：8

作者：

Diallo, Mouhamadou Alpha ^{[1
]}

Ezzinbi, Khalil ^{[2
]}

Sene, Abdoulaye ^{[1
]}

机构：

[1] Univ Cheikh Anta Diop, Fac Sci & Tech, Dept Math & Informat, UMMISCO,UMI 209, Dakar, Senegal

[2] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2018年 / 39卷 / 02期

关键词：

essential solutions; integrodifferential equations; optimal control problem; resolvent operators; set-valued mapping; stability; NONLINEAR OPTIMAL-CONTROL; STABILITY ANALYSIS; DIFFERENTIAL-EQUATIONS; EXISTENCE; INCLUSIONS;

D O I：

10.1002/oca.2359

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work, we study the existence and stability of solutions for an optimal control problem governed by an integrodifferential equation with compact control set in the space L-1([0,b];X). The stability results, in the sense of Baire category theory, for optimal control problems are obtained by the theory of set-valued mapping and the notion of essential solutions for optimal control problems.

引用

页码：563 / 574

页数：12

共 50 条

[41] New Results on Controllability for a Class of Fractional Integrodifferential Dynamical Systems with Delay in Banach Spaces
Zhao, Daliang
FRACTAL AND FRACTIONAL, 2021, 5 (03)
[42] Existence results for some partial stochastic integrodifferential equations with nonlocal conditions in Hilbert spaces
Diop, Mamadou Abdoul
Ezzinbi, Khalil
Ly, Mamadou Pathe
Ceesay, Baboucarr
RESEARCH IN MATHEMATICS, 2022, 9 (01):
[43] An optimal control problem involving impulsive integrodifferential systems
Wu, C. Z.
Teo, K. L.
Zhao, Yi
Yan, W. Y.
OPTIMIZATION METHODS & SOFTWARE, 2007, 22 (03) : 531 - 549
[44] An analysis on the optimal feedback control for Caputo fractional neutral evolution systems in Banach spaces
Vivek, S.
Vijayakumar, V.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024, 118 (02)
[45] Some problems on ordinary differential equations in Banach spaces
Hajek, Petr
Vivi, Paola
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2010, 104 (02) : 245 - 255
[46] ON SOME IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Wang, JinRong
Wei, W.
Yang, YanLong
OPUSCULA MATHEMATICA, 2010, 30 (04) : 507 - 525
[47] ON SOME EXISTENCE RESULTS OF MILD SOLUTIONS FOR NONLOCAL INTEGRODIFFERENTIAL CAUCHY PROBLEMS IN BANACH SPACES
Yang, YanLong
Wang, JinRong
OPUSCULA MATHEMATICA, 2011, 31 (03) : 443 - 455
[48] EXISTENCE AND UNIQUENESS OF SOLUTIONS OF FRACTIONAL QUASILINEAR MIXED INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION IN BANACH SPACES
Bragdi, Mabrouk
Hazi, Mohammed
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (51) : 1 - 16
[49] Extreme solutions of initial value problems for nonlinear second order integrodifferential equations in Banach spaces
Chen Fangqi
Acta Mathematicae Applicatae Sinica, 2001, 17 (3) : 289 - 295
[50] A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces
Wang, JinRong
Zhou, Yong
Wei, W.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (10) : 4049 - 4059

← 1 2 3 4 5 →