Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 17.06.1962
Phone: +380 (050) 371 62 84
E-mail:
Keywords: singular perturbations, asymptotics, spectrum, eigenvalue problems, Schrodinger operators
UDC: 517.95, 517, 927.25, 517.928.5
MSC: 73D30, 35Q72, 47F05, 47N20, 73K12

Subject:

Ordinary and Partial Differential Equations. Spectral Theory. Asymptotic Methods. Quantum Mechanics.

Main publications:

• Golovatyi Yu.D., Nazarov S.A., Oleinik O.A. Asimptotika sobstvennykh znachenii i sobstvennykh funktsii v zadachakh o kolebaniyakh sredy s singulyarnymi vozmuscheniyami plotnosti // UMN. – 1988.–T.43, #5 –.S.189–190.
• Golovatyi Yu.D., Nazarov S.A., Oleinik O.A., Soboleva T.S. O sobstvennykh kolebaniyakh struny s prisoedinennoi massoi // Sib. mat. zhurn.– 1988. –T.29, #5.– S.71–91.
• Golovatyi Yu.D., Nazarov S.A., Oleinik O.A. Asimptoticheskoe razlozhenie sobstvennykh znachenii i sobstvennykh funktsii zadach o kolebaniyakh sredy s kontsentrirovannymi vozmuscheniyami // Trudy Matematicheskogo instituta im. V.A.Steklova. –1990.–T.192– S.42–60.
• Golovatyi Yu.D. Spektralnaya zadacha Neimana dlya operatora Laplasa s singulyarno vozmuschennoi plotnostyu // UMN.–1990. T.45, #4 –.S.147–148.
• Golovatyi Yu.D. Nekotorye neravenstva dlya sobstvennykh chastot sterzhnei i plastin // Korrektnye kraevye zadachi dlya neklassicheskikh uravnenii / AN SSSR. Sibirskoe otdelenie. In–t matematiki.– Novosibirsk, 1990.– S.99–102.
• Yu. D. Golovaty, D. Gomez, M. Lobo and E. Perez Asymptotics for the eigenelements of vibrating membranes with very heavy thin inclusions. C.R. Mecanique, 330(11):777–782, 2002.
• Yu. D. Golovaty, D. Gomez, M. Lobo and E. Perez On vibrating membranes with very heavy thin inclusions, Mathematical Models & Methods in Applied Sciences, Vol. 14, No.7 (2004) 987-1034.
• N. Babych and Yu. Golovaty Asymptotic analysis of vibrating system containing stiff-heavy and flexible-light parts. – Nelineinye granichnye zadachi. – 2008. – T. 18, s. 194–207.
• Yu. Golovaty, S. Man'ko Solvable models for the Schrödinger operators with δ′-like potentials//Ukrainian Math. Bull.-2009.-V.6, no 2.- pp.169-203.
• N. Babych, Yu. Golovaty Low and high frequency approximations to eigenvibrations of string with double contrasts// Journal of Computational and Applied Mathematics 234 (2010) 1860-1867.
• Yu D Golovaty and R O Hryniv On norm resolvent convergence of Schrödinger operators with δ’-like potentials// J. Phys. A: Math. Theor. 43 (2010) 155204 (14pp).

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Ivan Franko National University of L'viv