Existence of multiple solutions to a discrete fourth order periodic boundary value problem

John R. Graef; Lingju Kong; Min Wang

Existence of multiple solutions to a discrete fourth order periodic boundary value problem

John R. Graef, Lingju Kong, Min Wang

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

Abstract

Suficient conditions are obtained for the existence of multiple so-lutions to the discrete fourth order periodic boundary value problem Δ⁴u(t - 2) - Δ (p(t - 1) Δ u(t - 1)) + _q(t)u(t) = f(t; u(t)); t ε [1;N]_Z; Δⁱu(-1) = Δⁱu(N - 1); i = 0; 1; 2; 3: Our analysis is mainly based on the variational method and critical point the- ory. One example is included to illustrate the result.

Original language	English (US)
Pages (from-to)	291-299
Number of pages	9
Journal	Discrete and Continuous Dynamical Systems - Series S
Issue number	SUPPL.
State	Published - Nov 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

@article{f3fa695b3a7147ba8bc60a6d8a38eda2,

title = "Existence of multiple solutions to a discrete fourth order periodic boundary value problem",

abstract = "Suficient conditions are obtained for the existence of multiple so-lutions to the discrete fourth order periodic boundary value problem Δ4u(t - 2) - Δ (p(t - 1) Δ u(t - 1)) + q(t)u(t) = f(t; u(t)); t ε [1;N]Z; Δiu(-1) = Δiu(N - 1); i = 0; 1; 2; 3: Our analysis is mainly based on the variational method and critical point the- ory. One example is included to illustrate the result.",

author = "Graef, {John R.} and Lingju Kong and Min Wang",

year = "2013",

month = nov,

language = "English (US)",

pages = "291--299",

journal = "Discrete and Continuous Dynamical Systems - Series S",

issn = "1937-1632",

publisher = "American Institute of Mathematical Sciences",

number = "SUPPL.",

}

TY - JOUR

T1 - Existence of multiple solutions to a discrete fourth order periodic boundary value problem

AU - Graef, John R.

AU - Kong, Lingju

AU - Wang, Min

PY - 2013/11

Y1 - 2013/11

N2 - Suficient conditions are obtained for the existence of multiple so-lutions to the discrete fourth order periodic boundary value problem Δ4u(t - 2) - Δ (p(t - 1) Δ u(t - 1)) + q(t)u(t) = f(t; u(t)); t ε [1;N]Z; Δiu(-1) = Δiu(N - 1); i = 0; 1; 2; 3: Our analysis is mainly based on the variational method and critical point the- ory. One example is included to illustrate the result.

AB - Suficient conditions are obtained for the existence of multiple so-lutions to the discrete fourth order periodic boundary value problem Δ4u(t - 2) - Δ (p(t - 1) Δ u(t - 1)) + q(t)u(t) = f(t; u(t)); t ε [1;N]Z; Δiu(-1) = Δiu(N - 1); i = 0; 1; 2; 3: Our analysis is mainly based on the variational method and critical point the- ory. One example is included to illustrate the result.

UR - http://www.scopus.com/inward/record.url?scp=84901460586&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901460586&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84901460586

SN - 1937-1632

SP - 291

EP - 299

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - SUPPL.

ER -

Existence of multiple solutions to a discrete fourth order periodic boundary value problem

Abstract

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this