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Variation-of-constants formula
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Area of mathematics
Analysis
Functional analysis
C0-semigroup
Abstract Cauchy problem
Mild solution of an abstract Cauchy problem
2026-09-28
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If
A
generates
U
(
t
)
, the
variation
-of-
constants
formula
is
Z
(
t
)
=
U
(
t
)
Z
0
+
∫
0
t
U
(
t
−
s
)
F
(
s
)
d
s
.
(1)
It is also called Duhamel'
s
formula
.
Ancestors
(8)
Mild solution of an abstract Cauchy problem
Abstract Cauchy problem
C0-semigroup
Functional analysis
Analysis
Area of mathematics
Mathematics
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