On the eigenvalue problems for differential operators with coupled boundary conditions

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3 Citations (Scopus)

Abstract

In the paper, the eigenvalue problems for one- and two-dimensional second order differential operators with nonlocal coupled boundary conditions are considered. Conditions for the existence of zero, positive, negative or complex eigenvalues are proposed and analytical expressions of eigenvalues are provided.
Original languageEnglish
Pages (from-to)493-500
JournalNonlinear Analysis: Modelling and Control
Volume15
Issue number4
Publication statusPublished - 2010

Fingerprint

Eigenvalue Problem
Mathematical operators
Differential operator
Boundary conditions
Eigenvalue
Zero

Keywords

  • Coupled boundary conditions
  • Differential operators
  • Eigenvalue problem

Cite this

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title = "On the eigenvalue problems for differential operators with coupled boundary conditions",
abstract = "In the paper, the eigenvalue problems for one- and two-dimensional second order differential operators with nonlocal coupled boundary conditions are considered. Conditions for the existence of zero, positive, negative or complex eigenvalues are proposed and analytical expressions of eigenvalues are provided.",
keywords = "Coupled boundary conditions, Differential operators, Eigenvalue problem",
author = "Svajūnas Sajavičius",
year = "2010",
language = "English",
volume = "15",
pages = "493--500",
journal = "Nonlinear Analysis: Modelling and Control",
issn = "1392-5113",
publisher = "Korean Society for Internet Information",
number = "4",

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TY - JOUR

T1 - On the eigenvalue problems for differential operators with coupled boundary conditions

AU - Sajavičius, Svajūnas

PY - 2010

Y1 - 2010

N2 - In the paper, the eigenvalue problems for one- and two-dimensional second order differential operators with nonlocal coupled boundary conditions are considered. Conditions for the existence of zero, positive, negative or complex eigenvalues are proposed and analytical expressions of eigenvalues are provided.

AB - In the paper, the eigenvalue problems for one- and two-dimensional second order differential operators with nonlocal coupled boundary conditions are considered. Conditions for the existence of zero, positive, negative or complex eigenvalues are proposed and analytical expressions of eigenvalues are provided.

KW - Coupled boundary conditions

KW - Differential operators

KW - Eigenvalue problem

M3 - Article

VL - 15

SP - 493

EP - 500

JO - Nonlinear Analysis: Modelling and Control

JF - Nonlinear Analysis: Modelling and Control

SN - 1392-5113

IS - 4

ER -