Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign

Sergey Smirnov

doi:10.3846/13926292.2014.908792

Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign

Sergey Smirnov^*

^*Corresponding author for this work

University of Latvia

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

1 Citation (Scopus)

Abstract

We investigate the existence and the number of solutions for a third order boundary value problem with nonlocal boundary conditions in connection with the oscillatory behavior of solutions. The combination of the shooting method and scaling method is used in the proofs of our main results. Examples are included to illustrate the results.

Original language	English
Pages (from-to)	145-154
Number of pages	10
Journal	Mathematical Modelling and Analysis
Volume	19
Issue number	2
DOIs	https://doi.org/10.3846/13926292.2014.908792 https://doi.org/10.3846/13926292.2014.908792
Publication status	Published - Mar 2014
Externally published	Yes

OECD Field of Science

1.1 Mathematics

Keywords

estimation of the number of solutions
nonlinear boundary value problems
nonlocal boundary conditions

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title = "Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign",

abstract = "We investigate the existence and the number of solutions for a third order boundary value problem with nonlocal boundary conditions in connection with the oscillatory behavior of solutions. The combination of the shooting method and scaling method is used in the proofs of our main results. Examples are included to illustrate the results.",

keywords = "estimation of the number of solutions, nonlinear boundary value problems, nonlocal boundary conditions",

author = "Sergey Smirnov",

year = "2014",

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doi = "10.3846/13926292.2014.908792",

language = "English",

volume = "19",

pages = "145--154",

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publisher = "Vilnius Gediminas Technical University",

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AB - We investigate the existence and the number of solutions for a third order boundary value problem with nonlocal boundary conditions in connection with the oscillatory behavior of solutions. The combination of the shooting method and scaling method is used in the proofs of our main results. Examples are included to illustrate the results.

KW - estimation of the number of solutions

KW - nonlinear boundary value problems

KW - nonlocal boundary conditions

UR - https://www.scopus.com/pages/publications/84899768659

U2 - 10.3846/13926292.2014.908792

DO - 10.3846/13926292.2014.908792

M3 - Article

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ER -

Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign

Abstract

OECD Field of Science

Keywords

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