Tegza, A. M.; Slyvka-Tylyshchak, G. I.; Gerych, M. S.; Pogorilyak, O. O.; Boyaryshcheva, T. V. Modeling of Gaussian stationary random process with unbounded spectrum using the theory of \(L_2(\Omega)\)-processes. (Ukrainian. English summary) Zbl 07909362 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 40, No. 1, 75-81 (2022). Reviewer: Oleksandr Mokliachuk (Princeton) MSC: 60G15 60G10 60K30 PDFBibTeX XMLCite \textit{A. M. Tegza} et al., Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 40, No. 1, 75--81 (2022; Zbl 07909362) Full Text: DOI
Boyaryshcheva, T. V.; Kapusteĭ, M. M.; Slyvka-Tylyshchak, G. I.; Slyusarchuk, P. V. Estimate of the rate of convergence in the central limit theorem for a sequence of series. (Ukrainian. English summary) Zbl 07909336 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 38, No. 1, 22-32 (2021). MSC: 60F05 PDFBibTeX XMLCite \textit{T. V. Boyaryshcheva} et al., Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 38, No. 1, 22--32 (2021; Zbl 07909336) Full Text: DOI
Slyvka-Tylyshchak, G. I.; Kuchinka, K. J. Directions of scientific research Yu. V. Kozachenko: investigation of solutions of problems of mathematical physics with random factors. (Ukrainian. English summary) Zbl 07909322 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 37, No. 2, 26-35 (2020). MSC: 60-02 35-02 35L20 60H15 35K20 PDFBibTeX XMLCite \textit{G. I. Slyvka-Tylyshchak} and \textit{K. J. Kuchinka}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 37, No. 2, 26--35 (2020; Zbl 07909322) Full Text: DOI
Motsa, A. I.; Slyvka-Tylyshchak, G. I.; Mlavets’, Yu. Yu.; Yamnenko, R. Ye. Yuriy V. Kozachenko (in the occasion of 80th anniversary of his birthday). (Ukrainian. English summary) Zbl 07909320 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 37, No. 2, 7-14 (2020). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 01A70 60-00 62-00 35-00 PDFBibTeX XMLCite \textit{A. I. Motsa} et al., Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 37, No. 2, 7--14 (2020; Zbl 07909320) Full Text: DOI
Slyvka-Tylyshchak, G. I. The properties of generalized solutions of Cauchy problem for the heat equations with a random right part. (English) Zbl 07909312 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 35, No. 2, 62-70 (2019). MSC: 35K05 60G15 PDFBibTeX XMLCite \textit{G. I. Slyvka-Tylyshchak}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 35, No. 2, 62--70 (2019; Zbl 07909312) Full Text: DOI
Veresh, E. J.; Kuchinka, K. J.; Slyvka-Tylyshchak, G. I. Justification of application of the Fourier method to parabolic equation with \(Sub_{\varphi}(\Omega)\) random initial conditions. (Ukrainian. English summary) Zbl 1265.35378 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 22, No. 2, 30-37 (2011). MSC: 35R60 60H30 PDFBibTeX XMLCite \textit{E. J. Veresh} et al., Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 22, No. 2, 30--37 (2011; Zbl 1265.35378)
Slyvka-Tylyshchak, G. I.; Maryna, I. V. Justification of application of the Fourier method to the problem of oscillation of rectangular membrane with random initial conditions from the Orlicz space. (Ukrainian. English summary) Zbl 1249.35323 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 22, 137-149 (2011). MSC: 35Q74 35R60 60H30 PDFBibTeX XMLCite \textit{G. I. Slyvka-Tylyshchak} and \textit{I. V. Maryna}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 22, 137--149 (2011; Zbl 1249.35323)
Slyvka-Tylyshchak, G. I.; Synyavs’ka, O. O. Construction of a model of solution of rectangular parallelepiped with random factors. (Ukrainian. English summary) Zbl 1249.35324 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 21, 123-136 (2010). MSC: 35Q74 35R60 60H30 PDFBibTeX XMLCite \textit{G. I. Slyvka-Tylyshchak} and \textit{O. O. Synyavs'ka}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 21, 123--136 (2010; Zbl 1249.35324)
Slyvka-Tylyshchak, G. I. Conditions of existence of generalized solution to the problem of round membrane’s vibration with random initial conditions. (Ukrainian. English summary) Zbl 1224.35439 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 20, 140-146 (2010). MSC: 35R60 60G60 PDFBibTeX XMLCite \textit{G. I. Slyvka-Tylyshchak}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 20, 140--146 (2010; Zbl 1224.35439)
Slyvka-Tylyshchak, G. I.; Veresh, K. J. Justification of the Fourier method for hyperbolic equation with random initial conditions from Orlicz space. (Ukrainian. English summary) Zbl 1164.60374 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 16, 174-183 (2008). MSC: 60G60 35R60 PDFBibTeX XMLCite \textit{G. I. Slyvka-Tylyshchak} and \textit{K. J. Veresh}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 16, 174--183 (2008; Zbl 1164.60374)
Kozachenko, Yu. V.; Slyvka, G. I. On the modeling of solution of the hyperbolic equation with random initial conditions. (Ukrainian, English) Zbl 1150.60026 Teor. Jmovirn. Mat. Stat. 74, 52-67 (2006); translation in Theory Probab. Math. Stat. 74, 59-75 (2007). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60G60 35R60 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{G. I. Slyvka}, Teor. Ĭmovirn. Mat. Stat. 74, 52--67 (2006; Zbl 1150.60026); translation in Theory Probab. Math. Stat. 74, 59--75 (2007) Full Text: Link
Slyvka, G. I.; Tegza, A. M. Modelling of solution of the problem of vibration of a homogeneous string with random initial conditions. (Ukrainian. English summary) Zbl 1119.60304 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 10-11, 131-136 (2005). MSC: 60G20 35R60 PDFBibTeX XMLCite \textit{G. I. Slyvka} and \textit{A. M. Tegza}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 10--11, 131--136 (2005; Zbl 1119.60304)
Slyvka, Ganna I. Properties of solution of the problem of rectangular parallelepiped vibration with random initial conditions. (Ukrainian. English summary) Zbl 1094.35153 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 4, 52-57 (2005). MSC: 35R60 60G60 74H45 PDFBibTeX XMLCite \textit{G. I. Slyvka}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 4, 52--57 (2005; Zbl 1094.35153)
Slyvka, G. I. Round membrane vibrations with random initial conditions. (Ukrainian. English summary) Zbl 1119.60303 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 9, 65-76 (2004). MSC: 60G20 35R60 PDFBibTeX XMLCite \textit{G. I. Slyvka}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 9, 65--76 (2004; Zbl 1119.60303)
Kozachenko, Yu. V.; Slyvka, G. I. Justification of the Fourier method for hyperbolic equations with random initial conditions. (Ukrainian, English) Zbl 1106.35152 Teor. Jmovirn. Mat. Stat. 69, 63-78 (2004); translation in Theory Probab. Math. Stat. 69, 67-83 (2004). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 35R60 35L20 60G35 42A16 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{G. I. Slyvka}, Teor. Ĭmovirn. Mat. Stat. 69, 63--78 (2004; Zbl 1106.35152); translation in Theory Probab. Math. Stat. 69, 67--83 (2004) Full Text: Link
Slyvka, Ganna I. Justification of application of the Fourier method to the problem of rectangular parallelepiped vibration with random initial conditions. (Ukrainian. English summary) Zbl 1065.60089 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 4, 66-73 (2004). MSC: 60H30 35L35 35R60 PDFBibTeX XMLCite \textit{G. I. Slyvka}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 4, 66--73 (2004; Zbl 1065.60089)
Kozachenko, Yu. V.; Slyvka, G. I. Boundary-value problems of mathematical physics with random initial conditions from the \(\text{Sub}_{\varphi}(\Omega)\) space. (Ukrainian. English summary) Zbl 1035.60070 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 12, 7-10 (2003). MSC: 60H30 35L35 35R60 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{G. I. Slyvka}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 12, 7--10 (2003; Zbl 1035.60070)
Slyvka, Ganna I. Justification of application of the Fourier method to the problem of vibration of round membrane with random initial conditions. (Ukrainian. English summary) Zbl 1150.74489 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 4, 31-37 (2002). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 74K15 74H45 60K40 PDFBibTeX XMLCite \textit{G. I. Slyvka}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 4, 31--37 (2002; Zbl 1150.74489)
Slyvka, G. I. Justification of the application of the Fourier method to the problem of oscillation of a rectangular membrane with random initial-value conditions. (Ukrainian. English summary) Zbl 1016.35073 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 6, 120-124 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 35R60 35L05 PDFBibTeX XMLCite \textit{G. I. Slyvka}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 6, 120--124 (2001; Zbl 1016.35073)