Gliklikh, Yuriĭ Evgen’evich On global in time solutions of stochastic algebraic-differerential equations with forward mean derivatives. (English) Zbl 07879224 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 2, 96-103 (2024). MSC: 60H10 60H30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 2, 96--103 (2024; Zbl 07879224) Full Text: DOI MNR
Gliklikh, Yu. E. Stochastic equations and inclusions with mean derivatives and their applications. (English. Russian original) Zbl 1540.60112 J. Math. Sci., New York 282, No. 2, 111-253 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No, 2, 191-337 (2022). MSC: 60H10 58J65 34A60 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, J. Math. Sci., New York 282, No. 2, 111--253 (2024; Zbl 1540.60112); translation from Sovrem. Mat., Fundam. Napravl. 68, No, 2, 191--337 (2022) Full Text: DOI
Gliklikh, Yu. E. Stochastic Lagrange approach to viscous hydrodynamics. (English. Russian original) Zbl 1539.76173 J. Math. Sci., New York 278, No. 1, 82-90 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 2, 285-294 (2021). MSC: 76M35 58J65 60H30 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, J. Math. Sci., New York 278, No. 1, 82--90 (2024; Zbl 1539.76173); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 2, 285--294 (2021) Full Text: DOI
Gliklikh, Yuriĭ Evgen’evich; Sergeeva, Dar’ya Sergeevna Models of viscous fluids generated by martingales on the groups of diffeomorphisms. (English) Zbl 07899480 J. Comput. Eng. Math. 10, No. 1, 3-11 (2023). MSC: 60H30 60H10 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{D. S. Sergeeva}, J. Comput. Eng. Math. 10, No. 1, 3--11 (2023; Zbl 07899480) Full Text: DOI MNR
Gliklikh, Yuri E.; Kornev, Sergei V.; Obukhovskii, Valeri V. Integral operators, guiding potentials and periodic solutions of differential inclusions on non-compact Lie groups. (English) Zbl 1535.34037 J. Math. Sci., New York 266, No. 5, Series A, 667-674 (2022). Reviewer: Yong-Kui Chang (Xi’an) MSC: 34C25 34A60 22E30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} et al., J. Math. Sci., New York 266, No. 5, 667--674 (2022; Zbl 1535.34037) Full Text: DOI
Gliklikh, Yuri Evgenievich An operator approach to periodic solutions of differential equations on Lie groups. (English) Zbl 1513.34157 J. Comput. Eng. Math. 9, No. 2, 21-25 (2022). MSC: 34C25 47N20 22E30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, J. Comput. Eng. Math. 9, No. 2, 21--25 (2022; Zbl 1513.34157) Full Text: DOI MNR
Gliklikh, Yuri; Shamarova, Evelina Burgers equation in the adhesion model. (English) Zbl 1485.60060 Appl. Anal. 101, No. 2, 471-478 (2022). MSC: 60H15 60H10 35K59 PDFBibTeX XMLCite \textit{Y. Gliklikh} and \textit{E. Shamarova}, Appl. Anal. 101, No. 2, 471--478 (2022; Zbl 1485.60060) Full Text: DOI arXiv
Gliklikh, Yuri E.; Grankina, Alina D. On global in time existence of solutions of stochastic inclusions with backward mean derivatives. (English) Zbl 1486.34059 Appl. Anal. Optim. 5, No. 2, 217-221 (2021). MSC: 34A60 60H10 60J60 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{A. D. Grankina}, Appl. Anal. Optim. 5, No. 2, 217--221 (2021; Zbl 1486.34059) Full Text: Link
Gliklikh, Yuri E. On solutions of stochastic equations with current and osmotic velocities. (English) Zbl 1483.60080 Karapetyants, Alexey N. (ed.) et al., Operator theory and harmonic analysis. OTHA 2020, Part II – probability-analytical models, methods and applications. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Cham: Springer. Springer Proc. Math. Stat. 358, 167-183 (2021). MSC: 60H10 34F05 60J60 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, Springer Proc. Math. Stat. 358, 167--183 (2021; Zbl 1483.60080) Full Text: DOI
Gliklikh, Yuri E.; Zheltikova, Olga O. Differential inclusions with mean derivatives having extreme right-hand sides and optimal control. (English) Zbl 1470.60153 Appl. Anal. 100, No. 9, 2020-2028 (2021). MSC: 60H10 47H04 34A60 60H30 60K30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{O. O. Zheltikova}, Appl. Anal. 100, No. 9, 2020--2028 (2021; Zbl 1470.60153) Full Text: DOI
Gliklikh, Yu. E. Guiding potentials and bounded solutions of differential equations on finite-dimensional non-compact manifolds. (English. Russian original) Zbl 1471.58010 Russ. Math. 65, No. 5, 8-12 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 5,16-22 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58C25 58J05 58C05 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Russ. Math. 65, No. 5, 8--12 (2021; Zbl 1471.58010); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 5,16--22 (2021) Full Text: DOI
Gliklikh, Yu. E. On solvability of stochastic differential equations with osmotic velocities. (English. Russian original) Zbl 1469.60183 Theory Probab. Appl. 65, No. 4, 640-647 (2021); translation from Teor. Veroyatn. Primen. 65, No. 4, 806-817 (2020). MSC: 60H10 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Theory Probab. Appl. 65, No. 4, 640--647 (2021; Zbl 1469.60183); translation from Teor. Veroyatn. Primen. 65, No. 4, 806--817 (2020) Full Text: DOI
Gliklikh, Yuriĭ Evgen’evich Differential inclusions with mean derivatives, having aspherical right-hand sides. (English) Zbl 1464.34037 Chebyshevskiĭ Sb. 21, No. 2(74), 84-93 (2020). MSC: 34A60 34F05 34C40 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, Chebyshevskiĭ Sb. 21, No. 2(74), 84--93 (2020; Zbl 1464.34037) Full Text: MNR
Gliklikh, Yu. E.; Vlaskov, G. A. On modelling the convecting polar ionosphere. (English) Zbl 1499.86008 J. Comput. Eng. Math. 6, No. 1, 63-67 (2019). MSC: 86A10 60H99 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{G. A. Vlaskov}, J. Comput. Eng. Math. 6, No. 1, 63--67 (2019; Zbl 1499.86008) Full Text: DOI MNR
Baev, A. D.; Gliklikh, Yu. E.; Zagrebina, S. A.; Zamyshlyaeva, A. A.; Kadchenko, S. I.; Keller, A. V.; Kostin, D. V.; Manakova, N. A.; Rjazhskih, V. I.; Sviridyuk, G. A.; Sukacheva, T. G. Yu. I. Sapronov. To the memory of mathematician, teacher and friend. (Russian) Zbl 1414.01023 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 1, 166-168 (2019). MSC: 01A70 PDFBibTeX XMLCite \textit{A. D. Baev} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 1, 166--168 (2019; Zbl 1414.01023) Full Text: MNR
Gliklikh, Yu. E.; Shchichko, T. A. On the completeness of stochastic flows generated by equations with current velocities. (English. Russian original) Zbl 1478.60177 Theory Probab. Appl. 64, No. 1, 1-11 (2019); translation from Teor. Veroyatn. Primen. 64, No. 1, 3-16 (2019). MSC: 60H10 60J35 34F05 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{T. A. Shchichko}, Theory Probab. Appl. 64, No. 1, 1--11 (2019; Zbl 1478.60177); translation from Teor. Veroyatn. Primen. 64, No. 1, 3--16 (2019) Full Text: DOI
Gliklikh, Yu. E.; Zakharov, N. V. On global in time existence of solutions to stochastic equations with backward mean derivatives. (English) Zbl 1499.60244 J. Comput. Eng. Math. 5, No. 4, 64-69 (2018). MSC: 60H30 60H10 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{N. V. Zakharov}, J. Comput. Eng. Math. 5, No. 4, 64--69 (2018; Zbl 1499.60244) Full Text: DOI MNR
Gliklikh, Yuriĭ Evgen’evich; Makarova, Alla Viktorovna Stochastic inclusions with current velocities having decomposable right-hand sides. (English) Zbl 1426.60092 J. Comput. Eng. Math. 5, No. 2, 34-43 (2018). MSC: 60H30 60H10 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{A. V. Makarova}, J. Comput. Eng. Math. 5, No. 2, 34--43 (2018; Zbl 1426.60092) Full Text: DOI MNR
Gliklikh, Yuri E.; Makarova, Alla V.; Zheltikova, Olga O. On existence of optimal solutions for stochastic differential equations and inclusions with current velocities. (English) Zbl 1386.58020 Appl. Anal. 96, No. 16, 2917-2927 (2017). MSC: 58J65 60H10 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} et al., Appl. Anal. 96, No. 16, 2917--2927 (2017; Zbl 1386.58020) Full Text: DOI
Gliklikh, Yu. E.; Vinokurova, N. V. The Newton-Nelson equation on fiber bundles with connections. (English. Russian original) Zbl 1373.81042 J. Math. Sci., New York 225, No. 4, 575-589 (2017); translation from Fundam. Prikl. Mat. 20, No. 3, 61-81 (2015). MSC: 81P20 70S15 81T13 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{N. V. Vinokurova}, J. Math. Sci., New York 225, No. 4, 575--589 (2017; Zbl 1373.81042); translation from Fundam. Prikl. Mat. 20, No. 3, 61--81 (2015) Full Text: DOI
Gliklikh, Yu. E. Mean derivatives of stochastic processes and their applications. (Russian) Zbl 1469.60006 Itogi Nauki. Yug Rossii. Matematicheskaya Monografiya 10. Vladikavkaz: Yuzhnyĭ Matematicheskiĭ Institut, Vladikavkazskiĭ Nauchnyĭ Tsentr, Rossiĭskaya Akademiya Nauk i RSO-A (ISBN 978-5-904695-34-7/hbk). 195 p. (2016). Reviewer: Georgii Sviridyuk (Chelyabinsk) MSC: 60-02 60Gxx PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Mean derivatives of stochastic processes and their applications (Russian). Vladikavkaz: Yuzhnyĭ Matematicheskiĭ Institut, Vladikavkazskiĭ Nauchnyĭ Tsentr, Rossiĭskaya Akademiya Nauk i RSO-A (2016; Zbl 1469.60006)
Gliklikh, Yu. E.; Makarova, A. V. On existence of solutions to stochastic differential inclusions with current velocities. II. (English) Zbl 1359.60083 J. Comput. Eng. Math. 3, No. 1, 48-60 (2016). MSC: 60H30 34A60 60H10 58J65 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{A. V. Makarova}, J. Comput. Eng. Math. 3, No. 1, 48--60 (2016; Zbl 1359.60083) Full Text: DOI
Gliklikh, Yu. E.; Samsonova, K. A. On existence of solutions to stochastic differential equations with osmotic velocities. (English) Zbl 1359.60072 J. Comput. Eng. Math. 3, No. 2, 32-39 (2016). MSC: 60H10 60H30 60K40 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{K. A. Samsonova}, J. Comput. Eng. Math. 3, No. 2, 32--39 (2016; Zbl 1359.60072) Full Text: DOI
Azarina, S. V.; Gliklikh, Yu. E. On the solvability of nonautonomous stochastic differential equations with current velocities. (English. Russian original) Zbl 1357.60059 Math. Notes 100, No. 1, 3-10 (2016); translation from Mat. Zametki 100, No. 1, 3-12 (2016). MSC: 60H10 34F05 PDFBibTeX XMLCite \textit{S. V. Azarina} and \textit{Yu. E. Gliklikh}, Math. Notes 100, No. 1, 3--10 (2016; Zbl 1357.60059); translation from Mat. Zametki 100, No. 1, 3--12 (2016) Full Text: DOI
Gliklikh, Yu. E.; Mashkov, E. Yu. Stochastic Leontieff type equations in terms of current velocities of the solution. II. (English) Zbl 1351.60071 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 9, No. 3, 31-40 (2016). MSC: 60H10 60H30 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{E. Yu. Mashkov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 9, No. 3, 31--40 (2016; Zbl 1351.60071) Full Text: DOI
Gliklikh, Yu. E.; Makarova, A. V. On stochastic differential inclusions with current velocities. (English) Zbl 1359.60084 J. Comput. Eng. Math. 2, No. 3, 25-33 (2015). MSC: 60H30 60H10 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{A. V. Makarova}, J. Comput. Eng. Math. 2, No. 3, 25--33 (2015; Zbl 1359.60084) Full Text: DOI MNR
Azarina, S. V.; Gliklikh, Yu. E. On existence of solutions to stochastic differential equations with current velocities. (English) Zbl 1338.60143 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 4, 100-106 (2015). MSC: 60H10 60H30 60K40 PDFBibTeX XMLCite \textit{S. V. Azarina} and \textit{Yu. E. Gliklikh}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 4, 100--106 (2015; Zbl 1338.60143) Full Text: DOI
Gliklikh, Yuri E.; Mashkov, Evgenii Yu. Stochastic Leontieff type equations with non-constant coefficients. (English) Zbl 1369.34079 Appl. Anal. 94, No. 8, 1614-1623 (2015). Reviewer: Georgi Medvedev (Ambler) MSC: 34F05 34A09 34A12 60H10 60H30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{E. Yu. Mashkov}, Appl. Anal. 94, No. 8, 1614--1623 (2015; Zbl 1369.34079) Full Text: DOI
Gliklikh, Yuri E.; Zalygaeva, Marina E. Non-Newtonian fluids and stochastic analysis on the groups of diffeomorphisms. (English) Zbl 1320.58020 Appl. Anal. 94, No. 6, 1116-1127 (2015). Reviewer: Feng-Yu Wang (Swansea) MSC: 58J65 60H30 76D05 76D09 76M35 58D05 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{M. E. Zalygaeva}, Appl. Anal. 94, No. 6, 1116--1127 (2015; Zbl 1320.58020) Full Text: DOI
Gliklikh, Yuri E.; Zheltikova, Olga O. Stochastic equations and inclusions with mean derivatives and some applications. (English) Zbl 1310.60079 Methodol. Comput. Appl. Probab. 17, No. 1, 91-105 (2015). MSC: 60H10 60H30 60H99 49J55 60K30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{O. O. Zheltikova}, Methodol. Comput. Appl. Probab. 17, No. 1, 91--105 (2015; Zbl 1310.60079) Full Text: DOI
Gliklikh, Y. E.; Mashkov, E. Yu. Stochastic Leontieff type equations in terms of current velocities of the solution. (English) Zbl 1341.60053 J. Comput. Eng. Math. 1, No. 2, 45-51 (2014). MSC: 60H10 60H30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{E. Yu. Mashkov}, J. Comput. Eng. Math. 1, No. 2, 45--51 (2014; Zbl 1341.60053) Full Text: MNR
Gliklikh, Yu. E. On global in time solutions for differential-algebraic equations. (Russian. English summary) Zbl 1314.34029 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 3, 33-39 (2014). MSC: 34A09 34A12 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 3, 33--39 (2014; Zbl 1314.34029) Full Text: DOI
Gliklikh, Yuri E.; Zheltikova, Olga O. On existence of optimal solutions for stochastic differential inclusions with mean derivatives. (English) Zbl 1302.60091 Appl. Anal. 93, No. 1, 35-45 (2014). Reviewer: Leslaw Socha (Warsaw) MSC: 60H10 60H15 34A60 49K21 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{O. O. Zheltikova}, Appl. Anal. 93, No. 1, 35--45 (2014; Zbl 1302.60091) Full Text: DOI
Gliklikh, Yuri E.; Zalygaeva, Marina E. On the description of some anisotropic viscous fluids by the methods of stochastic analysis on the groups of diffeomorphisms. (English) Zbl 1475.76022 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2013, No. 1, 146-154 (2013). MSC: 76D05 76D09 58D05 76M35 60H30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{M. E. Zalygaeva}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2013, No. 1, 146--154 (2013; Zbl 1475.76022) Full Text: Link
Gliklikh, Yu.; Vinokurova, N. On the Newton-Nelson type equations on vector bundles with connections. (English) Zbl 1333.58013 Rend. Semin. Mat., Univ. Politec. Torino 71, No. 2, 219-226 (2013). Reviewer: Isamu Dôku (Saitama) MSC: 58J65 60H30 60H10 53C07 PDFBibTeX XMLCite \textit{Yu. Gliklikh} and \textit{N. Vinokurova}, Rend. Semin. Mat., Univ. Politec. Torino 71, No. 2, 219--226 (2013; Zbl 1333.58013)
Gliklikh, Yu. E.; Mashkov, E. Yu Stochastic Leontieff type equations and mean derivatives of stochastic processes. (English) Zbl 1307.60078 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 2, 25-39 (2013). MSC: 60H10 60H30 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{E. Y. Mashkov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 2, 25--39 (2013; Zbl 1307.60078)
Gliklikh, Yu. E.; Zheltikova, O. O. Optimal solutions for inclusions of geometric Brownian motion type with mean derivatives. (Russian. English summary) Zbl 1335.60133 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 3, 38-50 (2013). MSC: 60H99 60H10 60J65 49J55 93E20 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{O. O. Zheltikova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 3, 38--50 (2013; Zbl 1335.60133) Full Text: Link
Gliklikh, Yu. E. Investigation of Leontieff type equations with white noise by the methods of mean derivatives of stochastic processes. (Russian. English summary) Zbl 1413.60060 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 27(286), No. 13, 24-34 (2012). MSC: 60H30 60H40 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 27(286), No. 13, 24--34 (2012; Zbl 1413.60060) Full Text: MNR
Gliklikh, Yuri E.; Mohammed, Salah E. A. Stochastic delay equations and inclusions with mean derivatives on Riemannian manifolds. II. (English) Zbl 1296.58027 Glob. Stoch. Anal. 2, No. 1, 17-27 (2012). MSC: 58J65 60H25 53C21 34K05 34K09 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{S. E. A. Mohammed}, Glob. Stoch. Anal. 2, No. 1, 17--27 (2012; Zbl 1296.58027)
Gliklikh, Yuri E.; Makarova, Alla V. On solvability of stochastic differential inclusions with current velocities. (English) Zbl 1257.58023 Appl. Anal. 91, No. 9, 1731-1739 (2012). Reviewer: Elisa Alòs (Barcelona) MSC: 58J65 60H10 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{A. V. Makarova}, Appl. Anal. 91, No. 9, 1731--1739 (2012; Zbl 1257.58023) Full Text: DOI
Gliklikh, Yu. E.; Fil’chakov, S. V. The notion of parallelism and properties of set-valued vector fields on the groups of diffeomorphisms of a flat torus. (Russian. English summary) Zbl 1323.58008 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2011, No. 1, 128-133 (2011). MSC: 58D05 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{S. V. Fil'chakov}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2011, No. 1, 128--133 (2011; Zbl 1323.58008)
Gliklikh, Yuri E.; Mohammed, Salah E. A. Stochastic delay equations and inclusions with mean derivatives on Riemannian manifolds. (English) Zbl 1296.58026 Glob. Stoch. Anal. 1, No. 1, 49-56 (2011). MSC: 58J65 60H25 53C21 34K05 34K09 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{S. E. A. Mohammed}, Glob. Stoch. Anal. 1, No. 1, 49--56 (2011; Zbl 1296.58026) Full Text: Link
Gliklikh, Yuri E.; Vinokurova, Natalia V. On the description of motion of a quantum particle in the classical gauge field in the language of stochastic mechanics. (English) Zbl 1315.81019 Commun. Stat., Theory Methods 40, No. 19-20, 3630-3640 (2011). MSC: 81P20 58J65 60H10 60H30 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{N. V. Vinokurova}, Commun. Stat., Theory Methods 40, No. 19--20, 3630--3640 (2011; Zbl 1315.81019) Full Text: DOI
Gliklikh, Yuri E. Global and stochastic analysis with applications to mathematical physics. (English) Zbl 1216.58001 Theoretical and Mathematical Physics (Cham). Berlin: Springer (ISBN 978-0-85729-162-2/hbk; 978-0-85729-163-9/ebook). xxiii, 436 p. (2011). Reviewer: Maria Gordina (Storrs) MSC: 58-02 60H10 81P20 82C31 58J65 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, Global and stochastic analysis with applications to mathematical physics. Berlin: Springer (2011; Zbl 1216.58001) Full Text: DOI Link
Gliklikh, Yuri E. Solutions of Burgers, Reynolds, and Navier-Stokes equations via stochastic perturbations of inviscid flows. (English) Zbl 1362.58019 J. Nonlinear Math. Phys. 17, Suppl. 1, 15-29 (2010). MSC: 58J65 60H30 76D05 76M35 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, J. Nonlinear Math. Phys. 17, 15--29 (2010; Zbl 1362.58019) Full Text: DOI
Vinokurova, N. V.; Gliklikh, Yu. E. On description of motion of a quantum particle in the classical gauge field in the language of stochastic mechanics in Minkowski space. (Russian. English summary) Zbl 1333.53033 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2010, No. 2, 37-42 (2010). MSC: 53B30 81V25 81P20 60H10 60H30 PDFBibTeX XMLCite \textit{N. V. Vinokurova} and \textit{Yu. E. Gliklikh}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2010, No. 2, 37--42 (2010; Zbl 1333.53033)
Gliklikh, Yu. E. Stochastic dynamics via equations and inclusions in terms of mean derivatives and infinitesimal generators. (English) Zbl 1249.60119 Theory Stoch. Process. 16, No. 2, 33-43 (2010). MSC: 60H10 58J65 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Theory Stoch. Process. 16, No. 2, 33--43 (2010; Zbl 1249.60119)
Gliklikh, Yu. E.; Zheltikova, O. O. The concept of admissible sets in optimization problems on non-Hadamard Riemannian manifolds. (English) Zbl 1235.49085 Gliklikh, Yu. E. (ed.) et al., Семинар по глобальному и стохастическому анализу. Выпуск 5. Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet. 12-36 (2010). MSC: 49Q20 93B03 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{O. O. Zheltikova}, in: Семинар по глобальному и стохастическому анализу. Выпуск 5. Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet. 12--36 (2010; Zbl 1235.49085)
Gliklikh, Yu. E. (ed.); Sapronov, Yu. I. (ed.) Seminar on global and stochastic analysis. 5. (Семинар по глобальному и стохастическому анализу. Выпуск 5.) (English, Russian) Zbl 1209.58001 Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet. 59 p. (2010). MSC: 58-06 58J65 60J60 00B25 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} (ed.) and \textit{Yu. I. Sapronov} (ed.), Семинар по глобальному и стохастическому анализу. Выпуск 5 (Russian). Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet (2010; Zbl 1209.58001)
Gliklikh, Yuri E. Relations between \(L^{1}\)-completeness and continuity at infinity of stochastic flows and some applications. (English) Zbl 1190.58027 Appl. Anal. 89, No. 3, 353-363 (2010). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J65 60H10 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, Appl. Anal. 89, No. 3, 353--363 (2010; Zbl 1190.58027) Full Text: DOI
Gliklikh, Yu. E. On some special types of \(\varepsilon\)-approximation for set-valued mappings. (Russian. English summary) Zbl 1475.58026 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2009, No. 1, 87-93 (2009). MSC: 58J65 34A60 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2009, No. 1, 87--93 (2009; Zbl 1475.58026) Full Text: Link
Gliklikh, N. Yu. About Hausdorff \(w\)-continuity criteria for multi-valued mappings. (Russian) Zbl 1240.54066 Gliklikh, Yu. E. (ed.) et al., Семинар по глобальному и стохастическому анализу. Выпуск 4. Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet. 9-11 (2009). Reviewer: Pavel Gapeev (London) MSC: 54C60 54C08 PDFBibTeX XMLCite \textit{N. Yu. Gliklikh}, in: Семинар по глобальному и стохастическому анализу. Выпуск 4. Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet. 9--11 (2009; Zbl 1240.54066)
Azarina, S. V.; Gliklikh, Yu. E. Inclusions with derivatives in mean for processes of geometric Brownian motion-type and their applications. (Russian) Zbl 1240.34045 Gliklikh, Yu. E. (ed.) et al., Семинар по глобальному и стохастическому анализу. Выпуск 4. Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet. 3-8 (2009). Reviewer: Pavel Gapeev (London) MSC: 34A60 60J60 60J65 91B70 91B25 PDFBibTeX XMLCite \textit{S. V. Azarina} and \textit{Yu. E. Gliklikh}, in: Семинар по глобальному и стохастическому анализу. Выпуск 4. Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet. 3--8 (2009; Zbl 1240.34045)
Gliklikh, Yu. E. (ed.); Sapronov, Yu. I. (ed.) Seminar on global and stochastic analysis. 4. (Семинар по глобальному и стохастическому анализу. Выпуск 4.) (English, Russian) Zbl 1181.60007 Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet. 43 p. (2009). MSC: 60-06 60Hxx 00B25 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} (ed.) and \textit{Yu. I. Sapronov} (ed.), Семинар по глобальному и стохастическому анализу. Выпуск 4 (Russian). Voronezh: Voronezhskiĭ Gosudarstvennyĭ Universitet (2009; Zbl 1181.60007)
Gliklikh, Yu. E. A necessary and sufficient condition for the global-in-time existence of solutions to stochastic differential and parabolic equations on manifolds. (English. Russian original) Zbl 1183.58022 J. Math. Sci., New York 159, No. 6, 794-798 (2009); translation from Fundam. Prikl. Mat. 13, No. 8, 69-76 (2007). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J35 58J65 34A12 35K15 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, J. Math. Sci., New York 159, No. 6, 794--798 (2009; Zbl 1183.58022); translation from Fundam. Prikl. Mat. 13, No. 8, 69--76 (2007) Full Text: DOI
Azarina, Svetlana V.; Gliklikh, Yuri E. Stochastic differential inclusions in terms of infinitesimal generators and mean derivatives. (English) Zbl 1172.60016 Appl. Anal. 88, No. 1, 89-105 (2009). Reviewer: Martin Ondreját (Praha) MSC: 60H10 60H99 34F05 34A60 PDFBibTeX XMLCite \textit{S. V. Azarina} and \textit{Y. E. Gliklikh}, Appl. Anal. 88, No. 1, 89--105 (2009; Zbl 1172.60016) Full Text: DOI
Gliklikh, Yuri E. Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows. arXiv:0908.0917 Preprint, arXiv:0908.0917 [math.AP] (2009). MSC: 58J65 60H30 76D05 76D09 BibTeX Cite \textit{Y. E. Gliklikh}, ``Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows'', Preprint, arXiv:0908.0917 [math.AP] (2009) Full Text: arXiv OA License
Azarina, S. V.; Gliklikh, Yu. E.; Obukhovski, A. V. Mechanical systems with random perturbations on nonlinear configuration spaces. (English) Zbl 1393.70037 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2008, No. 1, 205-221 (2008). MSC: 70L05 PDFBibTeX XMLCite \textit{S. V. Azarina} et al., Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2008, No. 1, 205--221 (2008; Zbl 1393.70037)
Gliklikh, Yu. E.; Zvyagin, V. G.; Kunakovskaya, O. V.; Obukhovskii, V. V.; Ratiner, N. M.; Turbin, M. V.; Udodenko, N. N. Obituary: Vladimir T. Dmitrienko. (Russian) Zbl 1327.01040 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2008, No. 2, 136-138 (2008). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} et al., Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2008, No. 2, 136--138 (2008; Zbl 1327.01040)
Gliklikh, Yu. E. On relations between infinitesimal generators and mean derivatives of stochastic processes on manifolds. (English) Zbl 1323.58026 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2008, No. 2, 97-102 (2008). MSC: 58J65 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2008, No. 2, 97--102 (2008; Zbl 1323.58026)
Gliklikh, Yu. E. Stochastic differential inclusions with mean derivatives on non-compact manifolds. (English) Zbl 1169.58015 Gliklikh, Yu. E. (ed.) et al., Семинар по глобальному и стохастическому анализу. Выпуск 3. Voronezh: Voronezhskij Gosudarstvennyj Universitet. 12-30 (2008). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J65 58C06 34A60 60H10 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, in: Семинар по глобальному и стохастическому анализу. Выпуск 3. Voronezh: Voronezhskij Gosudarstvennyj Universitet. 12--30 (2008; Zbl 1169.58015)
Gliklikh, N. Yu. An approximative approach to \(\omega\)-upper semicontinuous multivalued mappings. (Russian) Zbl 1181.47059 Gliklikh, Yu. E. (ed.) et al., Семинар по глобальному и стохастическому анализу. Выпуск 3. Voronezh: Voronezhskij Gosudarstvennyj Universitet. 8-11 (2008). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47H10 47H04 47J25 PDFBibTeX XMLCite \textit{N. Yu. Gliklikh}, in: Семинар по глобальному и стохастическому анализу. Выпуск 3. Voronezh: Voronezhskij Gosudarstvennyj Universitet. 8--11 (2008; Zbl 1181.47059)
Gliklikh, Yu. E. (ed.); Sapronov, Yu. I. (ed.) Seminar on global and stochastic analysis. 3. (Семинар по глобальному и стохастическому анализу. Выпуск 3.) (English, Russian) Zbl 1156.60006 Voronezh: Voronezhskij Gosudarstvennyj Universitet. 54 p. (2008). MSC: 60-06 60Hxx 00B25 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} (ed.) and \textit{Yu. I. Sapronov} (ed.), Семинар по глобальному и стохастическому анализу. Выпуск 3 (Russian). Voronezh: Voronezhskij Gosudarstvennyj Universitet (2008; Zbl 1156.60006)
Bliznyakov, N. M.; Buchstaber, V. M.; Gliklikh, Yu E.; Zvyagin, V. G.; Mishchenko, A. S.; Obukhovskii, V. V.; Sapronov, Yu I.; Fomenko, A. T.; Chernavskii, A. V. Yurii Grigor’evich Borisovich (obituary). (English. Russian original) Zbl 1153.01319 Russ. Math. Surv. 63, No. 4, 767-769 (2008); translation from Usp. Mat. Nauk 63, No. 4, 173-174 (2008). MSC: 01A70 PDFBibTeX XMLCite \textit{N. M. Bliznyakov} et al., Russ. Math. Surv. 63, No. 4, 767--769 (2008; Zbl 1153.01319); translation from Usp. Mat. Nauk 63, No. 4, 173--174 (2008) Full Text: DOI
Gliklikh, Yuri; Sinelnikov, Anatoly On global continuability of solutions of infinite-dimensional ordinary differential equations. (English) Zbl 1153.34033 Appl. Anal. 87, No. 2, 221-232 (2008). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 34G20 34A12 58C99 PDFBibTeX XMLCite \textit{Y. Gliklikh} and \textit{A. Sinelnikov}, Appl. Anal. 87, No. 2, 221--232 (2008; Zbl 1153.34033) Full Text: DOI
Azarina, S. V.; Gliklikh, Yu. E. On factorization of symmetric positive semi-definite Borel measurable \((2,0)\)-tensor fields. (Russian. English summary) Zbl 1474.34097 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2007, No. 2, 92-95 (2007). MSC: 34A60 60H10 PDFBibTeX XMLCite \textit{S. V. Azarina} and \textit{Yu. E. Gliklikh}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2007, No. 2, 92--95 (2007; Zbl 1474.34097) Full Text: Link
Gel’man, B. D.; Gliklikh, Yu. E.; Zvyagin, V. G.; Korner, S. V.; Udodenko, N. N. Valeriĭ Vladimirovich Obukhovskiĭ. (Russian) Zbl 1321.01047 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2007, No. 1, 193-200 (2007). MSC: 01A70 PDFBibTeX XMLCite \textit{B. D. Gel'man} et al., Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2007, No. 1, 193--200 (2007; Zbl 1321.01047)
Gliklikh, Yu. G.; Zvyagin, V. G.; Semenov, E. M.; Udodenko, N. N. Boris Danilovich Gel’man. (Russian) Zbl 1321.01049 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2007, No. 1, 190-192 (2007). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. G. Gliklikh} et al., Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2007, No. 1, 190--192 (2007; Zbl 1321.01049)
Gliklikh, Yuri E.; Zykov, Peter S. A two-point boundary value problem on a Lorentz manifold arising in A. Poltorak’s concept of reference frame. (English) Zbl 1157.93017 J. Nonlinear Math. Phys. 14, No. 1-4, 389-397 (2007). MSC: 93C05 70H40 93C95 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{P. S. Zykov}, J. Nonlinear Math. Phys. 14, No. 1--4, 389--397 (2007; Zbl 1157.93017) Full Text: DOI arXiv OA License
Gliklikh, Yu. E.; Zykov, P. S. On the two-point boundary-value problem for equations of geodesics. (English. Russian original) Zbl 1165.53341 J. Math. Sci., New York 144, No. 5, 4409-4412 (2007); translation from Fundam. Prikl. Mat. 11, No. 4, 65-70 (2005). MSC: 53C22 34B15 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{P. S. Zykov}, J. Math. Sci., New York 144, No. 5, 4409--4412 (2007; Zbl 1165.53341); translation from Fundam. Prikl. Mat. 11, No. 4, 65--70 (2005) Full Text: DOI
Azarina, S. V.; Gliklikh, Yu. E. On differential equations and inclusions with mean derivatives on a compact manifold. (English) Zbl 1154.58018 Discuss. Math., Differ. Incl. Control Optim. 27, No. 2, 385-397 (2007). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 58C06 34A60 60H10 60H99 PDFBibTeX XMLCite \textit{S. V. Azarina} and \textit{Yu. E. Gliklikh}, Discuss. Math., Differ. Incl. Control Optim. 27, No. 2, 385--397 (2007; Zbl 1154.58018) Full Text: DOI Link
Gliklikh, Yuri E.; Zykov, Peter S. Fixed point approach to some two-point boundary value problems for differential inclusions on manifolds. (English) Zbl 1153.58004 Fixed Point Theory 8, No. 2, 263-272 (2007). Reviewer: Vassil Angelov (Sofia) MSC: 58C06 58C30 70G45 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{P. S. Zykov}, Fixed Point Theory 8, No. 2, 263--272 (2007; Zbl 1153.58004)
Azarina, Svetlana V.; Gliklikh, Yuri E.; Obukhovskiĭ, Andrei V. Solvability of Langevin differential inclusions with set-valued diffusion terms on Riemannian manifolds. (English) Zbl 1131.58024 Appl. Anal. 86, No. 9, 1105-1116 (2007). MSC: 58J65 58C06 82C31 93E03 PDFBibTeX XMLCite \textit{S. V. Azarina} et al., Appl. Anal. 86, No. 9, 1105--1116 (2007; Zbl 1131.58024) Full Text: DOI
Azarina, Svetlana V.; Gliklikh, Yuri E. Differential inclusions with mean derivatives. (English) Zbl 1130.34006 Dyn. Syst. Appl. 16, No. 1, 49-71 (2007). Reviewer: Jozef Myjak (L’Aquila) MSC: 34A60 60H10 60H99 34F05 PDFBibTeX XMLCite \textit{S. V. Azarina} and \textit{Y. E. Gliklikh}, Dyn. Syst. Appl. 16, No. 1, 49--71 (2007; Zbl 1130.34006)
Gliklikh, Yu. E.; Zykov, P. S. On a certain two-point boundary value problem on a Lorentz manifold connected to reference frames by A. Poltorak. (Russian. English summary) Zbl 1451.53093 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2006, No. 1, 128-133 (2006). MSC: 53C50 53C22 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{P. S. Zykov}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2006, No. 1, 128--133 (2006; Zbl 1451.53093)
Azarina, S. V.; Gliklikh, Yu. E. Differential equations and inclusions with forward mean derivatives in \(\mathbb{R}^n\). (Russian. English summary) Zbl 1416.60059 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2006, No. 2, 138-146 (2006). MSC: 60H10 34F05 34A60 PDFBibTeX XMLCite \textit{S. V. Azarina} and \textit{Yu. E. Gliklikh}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2006, No. 2, 138--146 (2006; Zbl 1416.60059)
Gliklikh, Yuri E. Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations. (English) Zbl 1136.34002 Abstr. Appl. Anal. 2006, Article ID 39786, 17 p. (2006). MSC: 34A12 34C11 37H10 37L55 60H10 34F05 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, Abstr. Appl. Anal. 2006, Article ID 39786, 17 p. (2006; Zbl 1136.34002) Full Text: DOI EuDML
Gliklikh, Yuri E.; Zykov, Peter S. On the two-point boundary value problem for quadratic second-order differential equations and inclusions on manifolds. (English) Zbl 1140.34320 Abstr. Appl. Anal. 2006, Article ID 30395, 9 p. (2006). MSC: 34B15 34A60 34C40 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{P. S. Zykov}, Abstr. Appl. Anal. 2006, Article ID 30395, 9 p. (2006; Zbl 1140.34320) Full Text: DOI EuDML
Gliklikh, Yu. E. Necessary and sufficient condition of the completeness for one class of stochastic flows on manifolds. (Russian) Zbl 1133.58306 Tr. Semin. Vektorn. Tenzorn. Anal. 26, 130-138 (2005). MSC: 58J65 35K15 60H15 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Tr. Semin. Vektorn. Tenzorn. Anal. 26, 130--138 (2005; Zbl 1133.58306)
Gliklikh, A. Y. On existence of integral curves of continuous right-invariant vector fields on groups of diffeomorphisms. (English) Zbl 1108.58007 Fixed Point Theory 6, No. 2, 279-284 (2005). Reviewer: Hiroaki Shimomura (Kochi) MSC: 58D05 58D25 34A35 PDFBibTeX XMLCite \textit{A. Y. Gliklikh}, Fixed Point Theory 6, No. 2, 279--284 (2005; Zbl 1108.58007)
Bogacheva, Elena V.; Gliklikh, Yuri E. Topological index for condensing maps on Finsler manifolds with applications to functional-differential equations of neutral type. (English) Zbl 1099.58005 Topol. Methods Nonlinear Anal. 26, No. 2, 287-305 (2005). MSC: 58B20 58C30 34K05 58C06 58D20 PDFBibTeX XMLCite \textit{E. V. Bogacheva} and \textit{Y. E. Gliklikh}, Topol. Methods Nonlinear Anal. 26, No. 2, 287--305 (2005; Zbl 1099.58005) Full Text: DOI
Gliklikh, Yuri E.; Morozova, Lora A. Conditions for global existence of solutions of ordinary differential, stochastic differential, and parabolic equations. (English) Zbl 1074.58017 Int. J. Math. Math. Sci. 2004, No. 17-20, 901-912 (2004). MSC: 58J65 35K15 35R60 60H15 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{L. A. Morozova}, Int. J. Math. Math. Sci. 2004, No. 17--20, 901--912 (2004; Zbl 1074.58017) Full Text: DOI EuDML
Gliklikh, Yuri E.; Obukhovskiĭ, Andrei V. On differential inclusions of velocity hodograph type with Carathéodory conditions on Riemannian manifolds. (English) Zbl 1077.58004 Discuss. Math., Differ. Incl. Control Optim. 24, 41-48 (2004). Reviewer: Vassil Angelov (Sofia) MSC: 58C06 58C30 34A60 70G45 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{A. V. Obukhovskiĭ}, Discuss. Math., Differ. Incl. Control Optim. 24, 41--48 (2004; Zbl 1077.58004) Full Text: DOI Link
Bogacheva, E. V.; Gliklikh, Yu. E. A construction of topological index for consensing maps of Finsler manifolds. (English) Zbl 1079.58003 Fixed Point Theory 5, No. 2, 197-207 (2004). Reviewer: Vassil Angelov (Sofia) MSC: 58C30 58C06 58B20 PDFBibTeX XMLCite \textit{E. V. Bogacheva} and \textit{Yu. E. Gliklikh}, Fixed Point Theory 5, No. 2, 197--207 (2004; Zbl 1079.58003)
Gliklikh, Yuri E.; Obukhovskiĭ, Andrei V. On a second order differential inclusion with random perturbation of velocity. (English) Zbl 1418.34045 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2003, No. 1, 93-95 (2003). MSC: 34A60 34A12 60H10 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{A. V. Obukhovskiĭ}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2003, No. 1, 93--95 (2003; Zbl 1418.34045)
Gliklikh, Yu. E.; Obukhovskiĭ, A. V. Viable solution of a two-point boundary-value problem for a second order differential inclusion on a Riemannian manifold. (Russian. English summary) Zbl 1404.58016 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2003, No. 2, 144-149 (2003). MSC: 58C06 58J65 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{A. V. Obukhovskiĭ}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2003, No. 2, 144--149 (2003; Zbl 1404.58016)
Preston, S.; Kunin, I.; Gliklikh, Y. E.; Chernykh, G. On the geometrical characteristics of chaotic dynamics. I. (English) Zbl 1211.37039 Int. J. Eng. Sci. 41, No. 3-5, 495-506 (2003). MSC: 37D45 34C28 PDFBibTeX XMLCite \textit{S. Preston} et al., Int. J. Eng. Sci. 41, No. 3--5, 495--506 (2003; Zbl 1211.37039) Full Text: DOI
Gliklikh, Y. E. Deterministic viscous hydrodynamics via stochastic processes on groups of diffeomorphisms. (English) Zbl 1068.76018 Davies, I. M. (ed.) et al., Probabilistic methods in fluids. Proceedings of the Swansea 2002 workshop, Wales, UK, April 14–19, 2002. Singapore: World Scientific (ISBN 981-238-226-7/hbk). 179-190 (2003). MSC: 76D06 76M35 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, in: Probabilistic methods in fluids. Proceedings of the Swansea 2002 workshop, Wales, UK, April 14--19, 2002. Singapore: World Scientific. 179--190 (2003; Zbl 1068.76018)
Gliklikh, Yu. E. Deterministic viscous hydrodynamics via stochastic analysis on groups of diffeomorphisms. (English) Zbl 1103.37051 Methods Funct. Anal. Topol. 9, No. 2, 146-153 (2003). Reviewer: A. N. Kochubei (Kyïv) MSC: 37K65 37N10 58J65 60H10 60H30 76D05 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Methods Funct. Anal. Topol. 9, No. 2, 146--153 (2003; Zbl 1103.37051)
Gliklikh, Yuri E.; Obukhovskiĭ, Andrei V. On a two-point boundary value problem for second-order differential inclusions on Riemannian manifolds. (English) Zbl 1034.58005 Abstr. Appl. Anal. 2003, No. 10, 591-600 (2003). Reviewer: Witold Mozgawa (Lublin) MSC: 58C06 58C30 70G45 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{A. V. Obukhovskiĭ}, Abstr. Appl. Anal. 2003, No. 10, 591--600 (2003; Zbl 1034.58005) Full Text: DOI EuDML
Belopolskaya, Ya. I.; Gliklikh, Yu. E. Stochastic processes on groups of diffeomorphisms and viscous hydrodynamics. (English) Zbl 1056.58010 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 2, 145-169 (2002). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 58D05 76D05 60J60 PDFBibTeX XMLCite \textit{Ya. I. Belopolskaya} and \textit{Yu. E. Gliklikh}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 2, 145--169 (2002; Zbl 1056.58010) Full Text: DOI
Gliklikh, Yu. E. Deterministic viscous hydrodynamics via stochastic analysis on groups of diffeomorphisms. (English) Zbl 1038.76015 Theory Stoch. Process. 8(24), No. 1-2, 98-105 (2002). Reviewer: A. D. Borisenko (Kyïv) MSC: 76D06 60H15 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Theory Stoch. Process. 8(24), No. 1--2, 98--105 (2002; Zbl 1038.76015)
Gliklikh, Yu. E.; Morozova, L. A. On the notion of \(L^{ 1}\)-completeness of a stochastic flow on a manifold. (English) Zbl 1018.58028 Abstr. Appl. Anal. 7, No. 12, 627-635 (2002). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 58J35 60H10 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{L. A. Morozova}, Abstr. Appl. Anal. 7, No. 12, 627--635 (2002; Zbl 1018.58028) Full Text: DOI EuDML
Gliklikh, A. Yu. Condensing property of right-invariant vector fields on groups of diffeomorphisms. (Russian. English summary) Zbl 1050.58008 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2001, No. 2, 67-73 (2001). MSC: 58D05 PDFBibTeX XMLCite \textit{A. Yu. Gliklikh}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2001, No. 2, 67--73 (2001; Zbl 1050.58008)
Gliklikh, Yuri E.; Obukhovskij, V. Stochastic differential inclusions of Langevin type of Riemannian manifolds. (English) Zbl 1003.58027 Discuss. Math., Differ. Incl. Control Optim. 21, No. 2, 173-190 (2001). Reviewer: Akira Asada (Takarazuka) MSC: 58J65 58C06 82C31 PDFBibTeX XMLCite \textit{Y. E. Gliklikh} and \textit{V. Obukhovskij}, Discuss. Math., Differ. Incl. Control Optim. 21, No. 2, 173--190 (2001; Zbl 1003.58027) Full Text: DOI
Gliklikh, Yu. E. Viscous hydrodynamics through stochastic perturbations of flows of perfect fluids on groups of diffeomorphisms. (English) Zbl 1011.37045 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2001, No. 1, 81-89 (2001). MSC: 37K65 76D06 58J65 35Q30 76D05 58D30 37N20 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2001, No. 1, 81--89 (2001; Zbl 1011.37045)
Gliklikh, Yu. E.; Morozova, L. A. On solutions of an Itô stochastic differential equation on product manifolds. (Russian. English summary) Zbl 0992.58019 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2000, No. 1, 116-118 (2000). MSC: 58J65 60H15 60H30 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{L. A. Morozova}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2000, No. 1, 116--118 (2000; Zbl 0992.58019)
Gliklikh, Yu. E. On the notions of topological space and continuous map. (Russian. English summary) Zbl 0965.54001 Soros. Obraz. Zh. 2000, No. 10(59), 116-121 (2000). Reviewer: V.A.Alexandrov (Novosibirsk) MSC: 54A05 00A06 54C05 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Soros. Obraz. Zh. 2000, No. 10(59), 116--121 (2000; Zbl 0965.54001)
Gliklikh, Yu. E.; Ratiner, P. S. On a certain type of second order differential equations on total spaces of fiber bundles with connections. (English) Zbl 0973.53019 Rassias, Themistocles M. (ed.), Nonlinear analysis in geometry and topology. Palm Harbour, FL: Hadronic Press. 99-106 (2000). MSC: 53C07 78A35 53C80 PDFBibTeX XMLCite \textit{Yu. E. Gliklikh} and \textit{P. S. Ratiner}, in: Nonlinear analysis in geometry and topology. Palm Harbour, FL: Hadronic Press. 99--106 (2000; Zbl 0973.53019)
Gliklikh, Yuri E. Total and local topological indices for maps of Hilbert and Banach manifolds. (English) Zbl 0977.58005 Topol. Methods Nonlinear Anal. 15, No. 1, 17-31 (2000). Reviewer: Peter Zabreiko (Minsk) MSC: 58C30 47H11 58B20 PDFBibTeX XMLCite \textit{Y. E. Gliklikh}, Topol. Methods Nonlinear Anal. 15, No. 1, 17--31 (2000; Zbl 0977.58005) Full Text: DOI