LARGE-TIME BEHAVIOR OF THE DIFFERENCE OF SOLUTIONS OF TWO EVOLUTION EQUATION
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
CEP USM
Abstract
In a real Hilbert space
H
we consider a linear self-adjoint positive definite operator
A
:
V
=
D
(
A
)
⊂
H
→
H
and investigate
the behavior of the difference
u
−
v
of solutions to the problems
u
′′
(
t
) +
u
′
(
t
) +
Au
(
t
) =
f
(
t
)
, t >
0
,
u
(0) =
u
0
, u
′
(0) =
u
1
,
v
′
(
t
) +
Av
(
t
) =
f
(
t
)
, t >
0
,
v
(0) =
u
0
,
where
u
0
, u
1
∈
H, f
: [0
,
+
∞
)
→
H.
Description
Keywords
large-time behavior, abstract second order differential equation, abstract first order differential equation, a priori estimate
Citation
PERJAN, A., RUSU, G. Large-time behavior of the difference of so lutions of two evolution equation. In: The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM, 2017, pp. 317-320. ISBN 978-9975-71-915-5.