The dual variational method for n-th order ODEs with multipoint boundary conditions

Marek Galewski; Andrzej Nowakowski; Donal O'Regan; Aleksandra Orpel

doi:10.1080/00036811.2013.801459

The dual variational method for n-th order ODEs with multipoint boundary conditions

Marek Galewski
, Andrzej Nowakowski
, Donal O'Regan
, Aleksandra Orpel

Mathematics

Lodz University of Technology
University of Lodz

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

We discuss the eigenvalue problem for n-th order equations with multipoint boundary conditions. We present the variational method in spite of the fact that the nonlinearity is dependent on the derivative of n/2 order. The results can be applied applied to both sublinear and superlinear cases.

Original language	English
Pages (from-to)	957-971
Number of pages	15
Journal	Applicable Analysis
Volume	93
Issue number	5
DOIs	https://doi.org/10.1080/00036811.2013.801459
Publication status	Published - May 2014

Keywords

multipoint boundary conditions
n-th order ODEs
variational methods

Access to Document

10.1080/00036811.2013.801459

Cite this

@article{00bd7ad8fd7e4c24a85266b9632e4f2f,

title = "The dual variational method for n-th order ODEs with multipoint boundary conditions",

abstract = "We discuss the eigenvalue problem for n-th order equations with multipoint boundary conditions. We present the variational method in spite of the fact that the nonlinearity is dependent on the derivative of n/2 order. The results can be applied applied to both sublinear and superlinear cases.",

keywords = "multipoint boundary conditions, n-th order ODEs, variational methods",

author = "Marek Galewski and Andrzej Nowakowski and Donal O'Regan and Aleksandra Orpel",

year = "2014",

month = may,

doi = "10.1080/00036811.2013.801459",

language = "English",

volume = "93",

pages = "957--971",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis Ltd.",

number = "5",

}

TY - JOUR

T1 - The dual variational method for n-th order ODEs with multipoint boundary conditions

AU - Galewski, Marek

AU - Nowakowski, Andrzej

AU - O'Regan, Donal

AU - Orpel, Aleksandra

PY - 2014/5

Y1 - 2014/5

N2 - We discuss the eigenvalue problem for n-th order equations with multipoint boundary conditions. We present the variational method in spite of the fact that the nonlinearity is dependent on the derivative of n/2 order. The results can be applied applied to both sublinear and superlinear cases.

AB - We discuss the eigenvalue problem for n-th order equations with multipoint boundary conditions. We present the variational method in spite of the fact that the nonlinearity is dependent on the derivative of n/2 order. The results can be applied applied to both sublinear and superlinear cases.

KW - multipoint boundary conditions

KW - n-th order ODEs

KW - variational methods

UR - https://www.scopus.com/pages/publications/84897976314

U2 - 10.1080/00036811.2013.801459

DO - 10.1080/00036811.2013.801459

M3 - Article

SN - 0003-6811

VL - 93

SP - 957

EP - 971

JO - Applicable Analysis

JF - Applicable Analysis

IS - 5

ER -

The dual variational method for n-th order ODEs with multipoint boundary conditions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this