NONSELFADJOINT DEGENERATE DIFFERENTIAL EQUATIONS OF HIGHER ORDER

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NONSELFADJOINT DEGENERATE DIFFERENTIAL EQUATIONS OF HIGHER ORDER L.P. Tepoyan

In this article we consider Dirichlet problem for some class of degenerate nonselfadjoint differential equations of higher order. We prove the existence and uniqueness of the generalized solution, establish analogue of the Keldysh theorem and explore the spectral properties of the corresponding operator.

DOI: 10.46991/PYSUA.2014.48.2.024 Physical and Mathematical Sciences, 48(2 (234) 24-29

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Keywords

degenerate differential equations, weighted Sobolev spaces, spectral theory of linear operators

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