<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>We investigate the problem of existence and asymptotic behavior of solutions for the singularly perturbed linear Neumann problem &lt;img src="/fulltext-image.asp?format=htmlnonpaginated&amp;src=C6551P41673P4147_html\Journal10186_Volume18_Issue28_20_paper.gif" alt=""/> Our approach relies on the analysis of integral equation equivalent to the problem above.</p></abstract>

We investigate the problem of existence and asymptotic behavior of solutions for the singularly perturbed linear Neumann problem <img src="/fulltext-image.asp?format=htmlnonpaginated&src=C6551P41673P4147_html\Journal10186_Volume18_Issue28_20_paper.gif" alt=""/> Our approach relies on the analysis of integral equation equivalent to the problem above.

Singularly Perturbed Linear Neumann Problem with the Characteristic Roots on the Imaginary Axis

Department of Mathematics, Institute of Applied Informatics, Automation and Mathematics, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology Bratislava, Hajdóczyho 1, 917 24 Trnava, Slovak Republic

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

We investigate the problem of existence and asymptotic behavior of solutions for the singularly perturbed linear Neumann problem  Our approach relies on the analysis of integral equation equivalent to the problem above.

We investigate the problem of existence and asymptotic behavior of solutions for the singularly perturbed linear Neumann problem <img...

Singularly Perturbed Linear Neumann Problem with the Characteristic Roots on the Imaginary Axis

Published Online: Mar 03, 2011

Page range: 163 - 168

DOI: https://doi.org/10.2478/v10186-010-0020-4

Keywords
singularly perturbed ODE, Neumann problem, boundary condition, characteristic roots

This content is open access.

Singularly Perturbed Linear Neumann Problem with the Characteristic Roots on the Imaginary Axis

Published Online: Mar 03, 2011

Page range: 163 - 168

DOI: https://doi.org/10.2478/v10186-010-0020-4

Keywordssingularly perturbed ODE, Neumann problem, boundary condition, characteristic roots

This content is open access.

Keywords
singularly perturbed ODE, Neumann problem, boundary condition, characteristic roots