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

Vaculíková Ľudmila and Liška Vladimír
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Vaculíková Ľudmila: 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
Liška Vladimír: 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, 2010, vol. 18, issue 28, 163-168

Abstract: 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.

Keywords: singularly perturbed ODE; Neumann problem; boundary condition; characteristic roots; singularly perturbed ODE; Neumann problem; boundary condition; characteristic roots (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:repfms:v:18:y:2010:i:28:p:163-168:n:20

DOI: 10.2478/v10186-010-0020-4

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