Boundary problems for ordinary differential and quasidifferential equations with measures.
Main publications:
Makhnei O. V., “Funktsiya Grina singulyarnogo diferentsialnogo operatora ta ïï
vlastivosti”, Matematichni Studiï, 18 (2002), 147–156
Makhnei A. V., Tatsii R. M., “Asimptotika sobstvennykh znachenii i sobstvennykh funktsii
singulyarnogo kvazidifferentsialnogo operatora”, Differentsialnye uravneniya, 39 (2003), 1044–1051
Makhney O. V., Tatsiy R. M., “The structure of Cauchy function of the vector quasidifferential equation”, Matematichni Studiï, 21 (2004), 221–224
Makhnei A. V., Tatsii R. M., “Razlozhenie po sobstvennym funktsiyam v sluchae prostykh
sobstvennykh znachenii singulyarnogo kvazidifferentsialnogo operatora”, Differentsialnye uravneniya, 42 (2006), 179–187
Makhnei O. V., Tatsii R. M., “Asimptotichna povedinka vlasnikh znachen i vlasnikh
funktsii kraiovoï zadachi dlya singulyarnogo kvazidiferentsialnogo rivnyannya”, Matematichni Studiï, 29 (2008), 165–174
A. V. Makhnei, R. M. Tacyj, “Eigenfunction expansions for a singular quasidifferential operator with simple eigenvalues”, Differ. Uravn., 42:2 (2006), 179–187; Differ. Equ., 42:2 (2006), 193–201
A. V. Makhnei, R. M. Tacyj, “The Asymptotics of Eigenvalues and Eigenfunctions of a Singular Quasidifferential Operator on a Finite Interval”, Differ. Uravn., 39:8 (2003), 1044–1051; Differ. Equ., 39:8 (2003), 1098–1105
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