ABOUT EXPANSION BY EIGEN FUNCTIONS SELF-ADJOINT DIFFERENTIAL OPERATOR'S WITH COEFFICIENTS HAVING PRECISE BEHAVIOUR IN INFINITY

A. H. Petrosyan; L. G. Khachatryan

doi:10.46991/PYSU:A/2004.38.1.022

ABOUT EXPANSION BY EIGEN FUNCTIONS SELF-ADJOINT DIFFERENTIAL OPERATOR'S WITH COEFFICIENTS HAVING PRECISE BEHAVIOUR IN INFINITY

Authors

A. H. Petrosyan Chair of Differential Equations, YSU, Armenia
L. G. Khachatryan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2004.38.1.022

Keywords:

self-adjoint differential operator, general eigen functions, Fourie expansion

Abstract

In $L^2(\mathbb R)$ space an m≥2 order self-adjoint differential operator is observed, the coefficients of which have precise behaviour in infinity. A Fourie expansion formula is derived by means of minimal system of general eigen functions of this operator.

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Published

2003-12-28

How to Cite

Petrosyan, A. H., & Khachatryan, L. G. (2003). ABOUT EXPANSION BY EIGEN FUNCTIONS SELF-ADJOINT DIFFERENTIAL OPERATOR’S WITH COEFFICIENTS HAVING PRECISE BEHAVIOUR IN INFINITY. Proceedings of the YSU A: Physical and Mathematical Sciences, 38(1 (203), 22–27. https://doi.org/10.46991/PYSU:A/2004.38.1.022