Grushka Yaroslav Ivanovich

Grushka Yaroslav Ivanovich



Publications


    1. Grushka Ya.I. On the order of convergence of a semigroup to the identity operator. // Proceedings of the first Ukrainian conference of young scientists (mathematics). – Volume 2. – Kyiv : Taras Shevchenko University. – 1994. – P. 291-298. (In Ukrainian language)
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    2. Grushka Ya.I. Intermediate spaces and order of convergence of a semigroup to the identity operator. // Proceedings of the second Ukrainian conference of young scientists (mathematics). – Volume 1. – Kyiv : Taras Shevchenko University. – 1995. – P. 94-105. (In Ukrainian language)

    3. Grushka Ya.I. On the order of convergence of a semigroup to the identity operator. // Ukrainian Mathematical Journal – 1996. – Vol 48, N 6. – P. 847-851.(In Ukrainian language)
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    4. Grushka Ya.I. D³rect Approx³mat³on Problems for Sem³-groups ³n H³lbert Space. // Methods of Funct³onal Analys³s and Topology. – 1999. – Volume 5, ¹ 2. – P. 12-21.
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    5. Grushka Ya.I. Behav³our of the Sem³-groups of Normal operators ³n a ne³ghbourhood of zero. // Methods of Funct³onal Analys³s and Topology. – 1999. – Volume 5, ¹ 3. – P. 4-12.
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    6. Grushka Ya.I. On the Un³form Convergence Theorem of Sem³groups. // Operator Theory Advances and Appl³cat³ons, vol. 118. – Proceed³ngs of the Mark Kre³n ²nternat³onal Conference on Operator Theory and Appl³cat³ons. – Volume ²² : B³rkhauser Verlag. – Bassel - Boston - Berl³n. – 2000. – P. 177-179.
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    7. Grushka Ya.I. Semigroups of Operators and Approximation in Hilbert and Banach Space. Abstract of PhD thesis in Physical and Mathematical Sciences. – Kyiv – 2000. – 16 p. (In Ukrainian language)

    8. Grushka Ya.I. Semigroups of Operators and Approximation in Hilbert and Banach Space. PhD Thesis in Physical and Mathematical Sciences. Kyiv – 2000. – 145 p. (In Ukrainian language)

    9. Grushka Ya.I. D³rect and inverse Approx³mat³on Problems for Sem³-groups ³n H³lbert Space. // Reports of the National Academy of Sciences of Ukraine. – N 5. – 2000. – P. 17-20. (In Ukrainian language)

    10. Gorbachuk M.L., Grushka Ya.I., Torba S.M. Direct and inverse theorems in the theory of approximation in Hilbert space. // Reports of the National Academy of Sciences of Ukraine. – N 9. – 2004. – P. 20-25. (In Ukrainian language)
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    11. Gorbachuk M.L., Grushka Ya.I., Torba S.M. Direct and Inverse Theorems in the Theory of Approximation by the Ritz Method . // Ukrainian Mathematical Journal – Volume 57, N 5. – 2005. – P. 633-643.
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    12. Grushka Ya.I., Torba S.M. Direct theorems in the theory of approximation of Banach space vectors by exponential type entire vectors. // Methods of Functional Analysis and Topology. – Volume 13, N 3. – 2007. – P. 267-278.
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    13. Grushka Ya.I. On the Analytical Solutions of Evolutionary Differential-operator Equations in Banach Space. // Proceedings of Institute of Mathematics NAS of Ukraine. – Volume 4, N 3. – 2007. – P. 58-87. (In Ukrainian language)

    14. Grushka Ya.I. A generalization of the theorem on uniform convergence of semigroups to the identity operator . // Proceedings of Institute of Mathematics NAS of Ukraine. – Volume. 6. – N 2. – 2009 – P. 390-399. (In Ukrainian language)
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    15. Grushka Ya.I. Spaces of operators with bounded projector trace. // Mathematical Bulletin of the Shevchenko Scientific Society. – Volume. 6. – 2009. – P. 73-86. (In Ukrainian language)
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    16. Grushka Ya.I., Torba S.M. Direct and Inverse Theorems in the Theory of Approximation of Banach Space Vectors by Exponential Type Entire Vectors. // Operator Theory: Advances and Applications. – Volume 190. – 2009. – P. 295-314.
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    17. Grushka Ya.I. Translation-invariant operators and the operator analog of a difference variable trace. // Reports of the National Academy of Sciences of Ukraine. – N 3. – 2010. – P. 13-18. (In Ukrainian language)
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    18. Grushka Ya.I. Translation-invariant Operators and Generalized Difference Variable Trace. // Bulletin of University of Kyiv: Series – Physics and Mathematics. – N 3. – 2010. – P. 24-27.
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    19. Grushka Ya.I. Spaces of generalized operators with bounded projection trace. // Ukrainian Mathematical Journal – Volume 63. – N 1. – 2011 – P. 24-39.
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    20. Grushka Ya.I. Groups of unitary operators in the spaces of pseudo-operators with bounded projection trace. // Proceedings of II Ukrainian scientific seminar “Ukrainian school of group analysis for differential equations: achievements and perspectives” – Poltava. – 2012. – P. 13-23. (In Ukrainian language)
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    21. Grushka Ya.I. Changeable sets and their properties. // Reports of the National Academy of Sciences of Ukraine. – N 5. – 2012. – P. 12-18. (In Ukrainian language)
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    22. Grushka Ya.I. Primitive changeable sets and their properties. // Mathematical Bulletin of the Shevchenko Scientific Society. – Volume 9. – 2012. – P. 52-80.
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    23. Grushka Ya.I. Abstract Concept of Changeable Set. – Preprint. – arXiv:1207.3751. – 2012. – 54 p.
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    24. Grushka Ya.I. Visibility in changeable sets. // Proceedings of Institute of Mathematics NAS of Ukraine. – Volume 9. – N 2. – 2012. – P. 122-145.
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    25. Grushka Ya.I. Tachyon Generalization for Lorentz Transforms. // Methods of Functional Analysis and Topology. – Volume 20. – N 2. – 2013. – P. 127-145.
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    26. Grushka Ya.I. Algebraic Properties of Tachyon Lorentz Transforms. // Proceedings of Institute of Mathematics NAS of Ukraine. – Volume 10. – N 2. – 2013. – P. 138-169.
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    27. Grushka Ya.I. Base Changeable Sets and Mathematical Simulation of the Evolution of Systems. // Ukrainian Mathematical Journal – Volume 65. – N 9. – 2013. – P. 1190-1210.
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    28. Grushka Ya.I. Changeable sets and their applications to construction the tachyon kinematics. // Proceedings of Institute of Mathematics NAS of Ukraine. – Volume 11. – N 1. – 2014. – P. 192-227. (In Ukrainian language)
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    29. Grushka Ya.I. Evolutional extensions and analogues of the operation of union for basic changeable sets. // Proceedings of Institute of Mathematics NAS of Ukraine. – Volume 11. – N 2. – 2014. – P. 66-99.
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    30. Grushka Ya.I.  Existence Criteria for Universal Coordinate Transforms in Kinematic Changeable Sets. // Bukovinian Mathematical Journal. – Volume 2. – N 2‑3. – 2014. – P. 59-71.
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    31. Grushka Ya.I. Coordinate Transforms in Kinematic Changeable Sets. // Reports of the National Academy of Sciences of Ukraine. – N 3. – 2015. – P. 24-31.
      DOI: https://doi.org/10.15407/dopovidi2015.03.024     Full text of the article...

    32. Grushka Ya.I. Abstract Coordinate Transforms in Kinematic Changeable Sets and their Properties. – Preprint – arXiv:1504.02685. – 2015. – 31 p.
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    33. Grushka Ya.I. Comment on article "Extended linear and nonlinear Lorentz transformations and superluminality". – Preprint – viXra:1505.0053. – 2015. – 3 p.
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    34. Grushka Ya.I. Kinematic changeable sets with given universal coordinate transforms. // Proceedings of Institute of Mathematics NAS of Ukraine. – Volume 12. – N 1. – 2015. – P. 74-118.
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    35. Grushka Ya.I. Evolutionary extensions of Kinematic Sets and universal kinematics. // Proceedings of Institute of Mathematics NAS of Ukraine. – Volume 12. – N 2. – 2015. – P. 139-204.
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    36. Grushka Ya.I. Theorem on Evolutional Extension for Universal Kinematics. // Bukovinian Mathematical Journal. – Volume. 3. – N 3‑4. – 2015. – P. 67-77.
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    37. Grushka Ya.I. On time irreversibility of universal kinematics. // Reports of the National Academy of Sciences of Ukraine. – N 7. – 2016. – P. 14-21.
      DOI: https://doi.org/10.15407/dopovidi2016.07.014     Full text of the article...

    38. Grushka Ya.I. On time reversibility of tachyon kinematics. // Proceedings of Institute of Mathematics NAS of Ukraine. – V. 13. – N 2. – 2016. – P. 125-174.
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    39. Grushka Ya.I. Draft Introduction to Abstract Kinematics. (Version 1.0). – Preprint – viXra:1701.0523v1. – 2017. – 158 p.
      DOI: https://doi.org/10.13140/RG.2.2.24968.62720
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    40. Grushka Ya.I. Logarithmic extension of real numbers and hyperbolic representation of generalized Lorentz transforms. // International Journal of Algebra. – V. 11. – N 4. – 2017. – P. 159-170.
      DOI: https://doi.org/10.12988/ija.2017.7315     Full text of the article...

    41. Grushka Ya.I. Draft Introduction to Abstract Kinematics. (Version 2.0). – Preprint – viXra:1701.0523v2. – 2017. – 208 p.
      DOI: https://doi.org/10.13140/RG.2.2.28964.27521
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    42. Grushka Ya.I. On universal coordinate transform in kinematic changeable sets. // Methods of Functional Analysis and Topology. – V. 23. – N 2. – 2017. – P. 133-154.
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    43. Grushka Ya.I. Notes on Extended Lorentz Transformations for Superluminal Reference Frames. // Progress in Physics. – V. 13. – N 4. – 2017. – P. 198-199.
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    44. Grushka Ya.I. Self-consistently Translational Motion of Reference Frames in Universal Kinematics. // Bukovinian Mathematical Journal. – V. 5. – N 3‑4. – 2017. – P. 56-70.
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    45. Grushka Ya.I. The criterion for self-consistently translational motion of reference frames in universal kinematics. // Bulletin of Cherkasy National University, Physical and Mathematical Series. – N 1. – 2017. – P. 122-137.
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    46. Grushka Ya.I. Theorem of Non-Returning and Time Irreversibility of Tachyon Kinematics. // Progress in Physics. – V. 13. – N 5. – 2017. – P. 220-230.
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    47. Grushka Ya.I. On Monotonous Separately Continuous Functions. – Preprint. – arXiv:1801.03538. – 2018. – 5 p.
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    48. Grushka Ya.I. Self-consistent translational motion of reference frames and sign-definiteness of time in universal kinematics. // Methods of Functional Analysis and Topology. – V. 24. – N 2. – 2018. – P. 107-119.
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    49. Grushka Ya.I. On Monotonous Separately Continuous Functions. // Applied General Topology. – V. 20. – N 1. – 2019. – P. 75-79.
      DOI: https://doi.org/10.4995/agt.2019.9817     Full text of the article...

    50. Grushka Ya.I. Necessary and sufficient condition for the existence of the one-point time on an oriented set. // Reports of the National Academy of Sciences of Ukraine. – N 8. – 2019. – P. 9-15.
      DOI: https://doi.org/10.15407/dopovidi2019.08.009     Full text of the article...


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