On a separating solution of a recurrent equation

Ya G. Sinai

doi:10.1134/S1560354707050036

On a separating solution of a recurrent equation

Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider the recurrent equation which depends on the initial condition Λ₁ = x. Under some conditions on f we show that there exists the value of x for which Λ_p tends to a constant as p tends to infinity.

Original language	English (US)
Pages (from-to)	490-501
Number of pages	12
Journal	Regular and Chaotic Dynamics
Volume	12
Issue number	5
DOIs	https://doi.org/10.1134/S1560354707050036
State	Published - 2007

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Keywords

Recurrent equation
Separating solution

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10.1134/S1560354707050036

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title = "On a separating solution of a recurrent equation",

abstract = "We consider the recurrent equation which depends on the initial condition Λ1 = x. Under some conditions on f we show that there exists the value of x for which Λp tends to a constant as p tends to infinity.",

keywords = "Recurrent equation, Separating solution",

author = "Sinai, \{Ya G.\}",

note = "Funding Information: Financial support from NSF, Grant No. DMS 0600996 is highly appreciated. Also, I thank Dong Li for the very useful collaboration.",

year = "2007",

doi = "10.1134/S1560354707050036",

language = "English (US)",

volume = "12",

pages = "490--501",

journal = "Regular and Chaotic Dynamics",

issn = "1560-3547",

publisher = "Pleiades Publishing",

number = "5",

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T1 - On a separating solution of a recurrent equation

AU - Sinai, Ya G.

N1 - Funding Information: Financial support from NSF, Grant No. DMS 0600996 is highly appreciated. Also, I thank Dong Li for the very useful collaboration.

PY - 2007

Y1 - 2007

N2 - We consider the recurrent equation which depends on the initial condition Λ1 = x. Under some conditions on f we show that there exists the value of x for which Λp tends to a constant as p tends to infinity.

AB - We consider the recurrent equation which depends on the initial condition Λ1 = x. Under some conditions on f we show that there exists the value of x for which Λp tends to a constant as p tends to infinity.

KW - Recurrent equation

KW - Separating solution

UR - https://www.scopus.com/pages/publications/43649087675

UR - https://www.scopus.com/inward/citedby.url?scp=43649087675&partnerID=8YFLogxK

U2 - 10.1134/S1560354707050036

DO - 10.1134/S1560354707050036

M3 - Article

AN - SCOPUS:43649087675

SN - 1560-3547

VL - 12

SP - 490

EP - 501

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 5

ER -

On a separating solution of a recurrent equation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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