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Dive into the research topics where A. Yu. Luchka is active.

Publication


Featured researches published by A. Yu. Luchka.


Nonlinear Oscillations | 2003

Projection-Iterative Method for Systems of Differential Equations with Delay and Restrictions

A. Yu. Luchka; V. A. Feruk

Compatibility conditions are established for systems of differential equations with constant delay and restrictions. We propose a new version of the projection-iterative method for such problems and present its justification.


Nonlinear Oscillations | 2002

Projection-Iterative Method for Differential Equations with Restrictions

A. Yu. Luchka

We propose and justify a new projection-iterative method for differential equations with restrictions.


Nonlinear Oscillations | 2002

Iteration Method for Integral Equations with Constraints

A. Yu. Luchka; O. M. Voznyuk

We establish compatibility conditions for integral equations with constraints and justify the applicability of the iteration method to these equations.


Cybernetics and Systems Analysis | 2003

A Modified Variational-Gradient Method for Quasilinear Equations

A. Yu. Luchka

A modified variational-gradient method is proposed and substantiated for quasilinear operator equations in a Hilbert space.


Nonlinear Oscillations | 2007

Even systems of functional differential equations with restrictions and methods for their solution

A. Yu. Luchka


Nonlinear Oscillations | 2004

Modified projection-iterative method for systems of quasilinear differential equations with delay and restrictions

A. Yu. Luchka; V. A. Feruk


Nonlinear Oscillations | 2012

Iterative method for quasilinear integral equations with constraints

A. Yu. Luchka; V. F. Mel’nychuk


Journal of Mathematical Sciences | 2012

Approximation-iterative method for weakly nonlinear integral equations with restrictions

A. Yu. Luchka; V. F. Mel’nychuk


Cybernetics and Systems Analysis | 1998

General scheme of one-step variational-gradient methods for linear equations

A. Yu. Luchka; O.E. Noshchenko; N. I. Tukalevskaya


Cybernetics and Systems Analysis | 1996

Integral equations with constraints and their solution methods

A. Yu. Luchka

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V. A. Feruk

National Academy of Sciences

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V. F. Mel’nychuk

National Academy of Sciences

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A. Ronto

National Academy of Sciences of Ukraine

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H. P. Pelyukh

National Academy of Sciences of Ukraine

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O. A. Boichuk

National Academy of Sciences of Ukraine

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V. I. Tkachenko

National Academy of Sciences of Ukraine

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Ya. A. Prykarpats’kyi

National Academy of Sciences of Ukraine

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