Open AccessAsymptotics of a fundamental solution system for a quasidifferential equation with measures on the semiaxis
Author(s) -
O. V. Makhnei
Publication year - 2014
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.6.1.113-122
Subject(s) - mathematics , eigenfunction , eigenvalues and eigenvectors , mathematical analysis , boundary value problem , physics , quantum mechanics
With the help of a conception of quasiderivatives asymptotic formulas for a fundamental solution system of a quasidifferential equation with measures on the semiaxis $[0,\infty)$ are constructed. The obtained asymptotic formulas allow to investigate asymptotics of eigenvalues and eigenfunctions of the corresponding boundary value problem.