Solutions of a nonlinear fourth order periodic boundary value problem for difference equations

John R. Graef; Lingju Kong; Min Wang

Solutions of a nonlinear fourth order periodic boundary value problem for difference equations

John R. Graef
, Lingju Kong
, Min Wang

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

Abstract

The authors consider the fourth order periodic boundary value problem δ 4u(t-2)-δ(p(t-1)δu(t-1))+q(t)u(t)), t η [1,N]ℤ δⁱu(-1)=δⁱu(N-1), i=0,1,2,3, where N ≥ 1 is an integer, p η C([0,N]ℤ, ℝ), q η C([1,N]ℤ ℝ), and f η C([1,N]ℤ × ℝ, ℝ They obtain sufficient conditions for the existence of one and two solutions of the problem. The analysis is based mainly on the variational method and critical point theory.

Original language	English (US)
Pages (from-to)	53-63
Number of pages	11
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	20
Issue number	1
State	Published - 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "Solutions of a nonlinear fourth order periodic boundary value problem for difference equations",

abstract = "The authors consider the fourth order periodic boundary value problem δ 4u(t-2)-δ(p(t-1)δu(t-1))+q(t)u(t)), t η [1,N]ℤ δiu(-1)=δiu(N-1), i=0,1,2,3, where N ≥ 1 is an integer, p η C([0,N]ℤ, ℝ), q η C([1,N]ℤ ℝ), and f η C([1,N]ℤ × ℝ, ℝ They obtain sufficient conditions for the existence of one and two solutions of the problem. The analysis is based mainly on the variational method and critical point theory.",

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year = "2013",

language = "English (US)",

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journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis",

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T1 - Solutions of a nonlinear fourth order periodic boundary value problem for difference equations

AU - Graef, John R.

AU - Kong, Lingju

AU - Wang, Min

PY - 2013

Y1 - 2013

N2 - The authors consider the fourth order periodic boundary value problem δ 4u(t-2)-δ(p(t-1)δu(t-1))+q(t)u(t)), t η [1,N]ℤ δiu(-1)=δiu(N-1), i=0,1,2,3, where N ≥ 1 is an integer, p η C([0,N]ℤ, ℝ), q η C([1,N]ℤ ℝ), and f η C([1,N]ℤ × ℝ, ℝ They obtain sufficient conditions for the existence of one and two solutions of the problem. The analysis is based mainly on the variational method and critical point theory.

AB - The authors consider the fourth order periodic boundary value problem δ 4u(t-2)-δ(p(t-1)δu(t-1))+q(t)u(t)), t η [1,N]ℤ δiu(-1)=δiu(N-1), i=0,1,2,3, where N ≥ 1 is an integer, p η C([0,N]ℤ, ℝ), q η C([1,N]ℤ ℝ), and f η C([1,N]ℤ × ℝ, ℝ They obtain sufficient conditions for the existence of one and two solutions of the problem. The analysis is based mainly on the variational method and critical point theory.

UR - https://www.scopus.com/pages/publications/84873898712

UR - https://www.scopus.com/pages/publications/84873898712#tab=citedBy

M3 - Article

AN - SCOPUS:84873898712

SN - 1201-3390

VL - 20

SP - 53

EP - 63

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 1

ER -

Solutions of a nonlinear fourth order periodic boundary value problem for difference equations

Abstract

All Science Journal Classification (ASJC) codes

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