Konet I. M.
Generalized hybrid Mehler-Fock-type integral transformation of the first kind and its applications
Ukr. Mat. Zh. - 2007. - 59, № 10. - pp. 1376–1390
We introduce a generalized hybrid integral transformation of the Mehler-Fock type on a segment [0; R] with n conjugate points. We consider examples of application of this transformation to the solution of typical singular boundary-value problems for linear partial differential equations of the second order in piecewise-homogeneous media.
International Scientific Conference on the Theory of Evolution Equations (Fifth Bogolyubov Readings)
Konet I. M., Perestyuk N. A., Samoilenko A. M., Teplinsky Yu. V.
Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1440
Ukrainian school-seminar "Nonlinear boundary value problems of mathematical physics and applications"
Berezovsky A. A., Konet I. M., Lenyuk M. P., Samoilenko A. M., Teplinsky Yu. V.
Ukr. Mat. Zh. - 1997. - 49, № 4. - pp. 613–617
Asymptotic representation of fundamental matrices of second-order differential systems with a parameter. (Russian)
Ukr. Mat. Zh. - 1984. - 36, № 3. - pp. 381 - 384
Eigenvalues of the boundary-value problem for a system of second-order linear differential equations with a small parameter of fractional rank in the derivative
Ukr. Mat. Zh. - 1983. - 35, № 3. - pp. 397 — 400
Asymptotic properties of formal fundamental matrices of systems of second-order linear differential equations that contain a parameter
Ukr. Mat. Zh. - 1983. - 35, № 1. - pp. 124—130
