Author:
Truong Vinh An,Ngo Van Hoa,Nguyen Dinh Phu
Abstract
Abstract
In this study, we consider the interval-valued integro-differential equations (IIDEs) under generalized H-differentiability
D
H
g
X
(
t
)
=
F
(
t
,
X
(
t
)
)
+
∫
t
0
t
G
(
t
,
s
,
X
(
s
)
)
d
s
,
X
(
t
0
)
=
X
0
∈
K
C
(
R
)
.
The global existence of solutions for interval-valued integro-differential equations with initial conditions under generalized H-differentiability is studied. Theorems for global existence of solutions are given and proved on
[
t
0
,
∞
)
. Some examples are given to illustrate these results.
MSC:34K05, 34K30, 47G20.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference42 articles.
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