Conditions for the Existence of Basic Solutions of Linear Multivalued Differential Equations

被引：2

作者：

Komleva, T. A. ^{[1
]}

Plotnikov, A., V ^{[1
]}

Plotnikova, L., I ^{[2
]}

Skripnik, N., V ^{[3
]}

机构：

[1] Odessa State Acad Bldg & Architecture, Odessa, Ukraine

[2] Odessa Natl Polytech Univ, Odessa, Ukraine

[3] I Mechnikov Odessa Natl Univ, Odessa, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2021年 / 73卷 / 05期

关键词：

VALUED FUNCTIONS; HUKUHARA DIFFERENTIABILITY; SET; CALCULUS;

D O I：

10.1007/s11253-021-01958-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss various definitions and properties of the derivatives of set-valued mappings. We also consider a linear set-valued differential equation and investigate the problem of existence of solutions of this equation with Hukuhara derivative, PS-derivative, and BG-derivative. The obtained results are illustrated by model examples.

引用

页码：758 / 783

页数：26

共 37 条

[1] Amrahov SE, 2016, FUZZY SET SYST, V295, P57, DOI [10.1016/j.fss.2015.12.002, 10.1016/j.fss.2015.12.0020165]
[2] [Anonymous], 1969, BOLLETTINO DELL UNIO
[3] A DIFFERENTIAL CALCULUS FOR MULTIFUNCTIONS
BANKS, HT
JACOBS, MQ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 29 (02) : 246 - &
[4] Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
Bede, B
Gal, SG
[J]. FUZZY SETS AND SYSTEMS, 2005, 151 (03) : 581 - 599
[5] Almost periodic fuzzy-number-valued functions
Bede, B
Gal, SG
[J]. FUZZY SETS AND SYSTEMS, 2004, 147 (03) : 385 - 403
[6] Boltyanski VG, 2007, J CONVEX ANAL, V14, P345
[7] TRAJECTORY INTEGRALS OF SET VALUED FUNCTIONS
BRIDGLAND, TF
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1970, 33 (01) : 43 - +
[8] Generalized derivative and π-derivative for set-valued functions
Chalco-Cano, Y.
Roman-Flores, H.
Jimenez-Gamero, M. D.
[J]. INFORMATION SCIENCES, 2011, 181 (11) : 2177 - 2188
[9] Initial value problem for second-order random fuzzy differential equations
Ho Vu
Le Si Dong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 23
[10] Kareem A. M., 1967, Funkcial. Ekvac., V10, P205

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