Author:
Manuel Mariasebastin Maria Susai,Kılıçman Adem,Xavier Gnanadhass Britto Antony,Pugalarasu Rajan,Dilip Devadanam Suseela
Abstract
Abstract
In this paper, we study the solutions of the second-order generalized difference equation having the form of
Δ
ℓ
2
u
(
k
)
+
f
(
k
,
u
(
k
)
)
=
0
,
k
∈
[
a
,
∞
)
,
a
>
0
,
ℓ
∈
(
0
,
∞
)
,
where
Δ
ℓ
u
(
k
)
=
u
(
k
+
ℓ
)
−
u
(
k
)
. Then we provide applications on
ℓ
2
(
ℓ
)
and
c
0
(
ℓ
)
.
AMS Subject Classification:39A12, 39A70, 47B39, 39B60.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference10 articles.
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3. Elaydi SN: An Introduction to Difference Equations. 2nd edition. Springer, Berlin; 1999.
4. Kelley WG, Peterson AC: Difference Equations. An Introduction with Applications. Academic Press, San Diego; 1991.
5. Manuel MMS, Xavier GBA, Thandapani E: Theory of generalized difference operator and its applications. Far East J. Math. Sci. 2006, 20(2):163-171.
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2 articles.
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