Asymptotics of a fundamental solution system for a quasidifferential equation with measures on the semiaxis

O. V. Makhnei

Abstract


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.


Keywords


quasidifferential equation, measure, distribution, quasiderivative, semiaxis, asymptotics of solutions

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