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EIGENVALUE PROBLEM FOR THE LAPLACE OPERATOR WITH DISPLACEMENT IN DERIVATIVES

А. В. ГерасимовMordovia State UniversityB. V. LoginovUlyanovsk State Technical UniversityN.N. YuldashevTashkent Institute of Textile and Light Industry
Vestnik of Samara University Natural Science Seriesjournal2014en
ABI

Abstract

The statement of the problem on the determination of eigen-and adjointfunctions for Laplace operator in s-dimensional unit ball with displacement in derivatives is given. For s =2 the conditions are obtained for the existence of adjoint functions of the not higher than three order and their computation is made. The case of arbitrary s is the subject of future work.

Topics

Differential Equations and Boundary ProblemsHeat Transfer and Mathematical ModelingAdvanced Theoretical and Applied Studies in Material Sciences and Geometry

Identifiers

DOI
10.18287/2541-7525-2014-20-3-41-45

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