2014Differential EquationsRequires access

How to change a boundary condition in a problem to make the problem have a prescribed spectrum

A. M. Akhtyamov

Open publisher page 3 citations

Abstract

We consider a boundary value problem for an ordinary differential equation of order n with a spectral parameter in n boundary conditions. We suggest a method for changing one of the boundary conditions so as to make the problem have a prescribed spectrum.

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We consider a boundary value problem for an ordinary differential equation of order n with a spectral parameter in n boundary conditions. We suggest a method for changing one of the boundary conditions so as to make the problem have a prescribed spectrum.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We consider a boundary value problem for an ordinary differential equation of order n with a spectral parameter in n boundary conditions. We suggest a method for changing one of the boundary conditions so as to make the problem have a prescribed spectrum.

Key concepts: Mathematics, Boundary value problem, Ordinary differential equation, Free boundary problem, Mixed boundary condition, Cauchy boundary condition, Spectrum (functional analysis), Mathematical analysis

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