Author:
Azadi Kenary H,Rezaei H,Sharifzadeh M,Shin DY,Lee JR
Abstract
Abstract
The main goal of this paper is to study the Hyers-Ulam-Rassias stability of the following Euler-Lagrange type additive functional equation:
∑
j
=
1
m
f
(
−
r
j
x
j
+
∑
1
≤
i
≤
m
,
i
≠
j
r
i
x
i
)
+
2
∑
i
=
1
m
r
i
f
(
x
i
)
=
m
f
(
∑
i
=
1
m
r
i
x
i
)
,
where
r
1
,
…
,
r
m
∈
R
,
∑
i
=
k
m
r
k
≠
0
, and
r
i
,
r
j
≠
0
for some
1
≤
i
<
j
≤
m
, in non-Archimedean Banach spaces.
MSC:39B22, 39B52, 46S10.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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