Prof. Valeriy V. Karachik is a distinguished mathematician specializing in partial differential equations, boundary value problems, and polyharmonic functions. He holds a postdoctoral degree in Physics and Mathematics and has served in prestigious academic positions at institutions such as South Ural State University and Tashkent National University. With over 145 publications in Math-Net.ru, 83 in SCOPUS, and 70 in Web of Science, his research significantly impacts the field. He has authored 12 books and multiple monographs, contributing extensively to mathematical sciences. A recipient of the Diploma of the Ministry of Education and Science of Russia, he has also presented at over 35 international conferences. As a member of global mathematical societies and an editor for MDPI journals, he plays a vital role in advancing research. His career reflects academic excellence, leadership, and significant contributions to mathematics, making him a leading figure in his field.
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ORCID Profile
Education
Prof. Valeriy V. Karachik holds an extensive academic background in Physics and Mathematics. He earned his Ph.D. in 1988 from the Institute of Mathematics, Academy of Sciences of Uzbekistan, followed by a postdoctoral degree in 2002 from the same institution. In 2006, he obtained another postdoctoral degree in Russia, solidifying his expertise in mathematical sciences. His early academic foundation was laid at Tashkent State University, where he completed a five-year MA/BA equivalent degree with honors in 1977. His multidisciplinary educational journey has enabled him to specialize in complex mathematical concepts such as partial differential equations, polyharmonic functions, and boundary value problems. Over the years, his commitment to education and research has led him to mentor students, contribute to innovative mathematical theories, and expand knowledge in applied mathematics, making him a leading academic figure in the field.
Professional Experience
Prof. Karachik’s career spans several prestigious institutions. Since 2013, he has been a Professor at South Ural State University, previously serving as Head of the Department of Mathematical Analysis and Functional Analysis. His leadership extended to differential equations and dynamical systems, demonstrating his expertise in diverse mathematical disciplines. Before joining SUSU, he was a Professor at Tashkent National University and led the Computerized Testing Center at the University of World Economy and Diplomacy. He also worked at the Institute of Cybernetics, Academy of Sciences of Uzbekistan, and taught at Tashkent Polytechnic Institute. With a career spanning over four decades, his experience includes research, academic leadership, and international collaborations, making significant contributions to both theoretical and applied mathematics. His role as an editor for MDPI journals and active membership in international mathematical societies further highlight his influence in the field.
Research Interest
Prof. Karachik’s research focuses on partial differential equations, polynomial solutions, and boundary value problems. His work extends to Almansi-type decomposition, polyharmonic functions, and special polynomials. His research has advanced fundamental concepts in mathematical physics, optimization, and harmonic analysis, contributing significantly to applied mathematics. He has authored over 145 publications on Math-Net.ru, 83 in SCOPUS, and 70 in Web of Science, alongside 12 books and numerous monographs. His research has been presented at over 35 international conferences, reflecting its global impact. By working on Neumann-type problems for polyharmonic equations, he has introduced innovative methodologies that are widely recognized in mathematical research. His ability to bridge theoretical mathematics with real-world applications makes him an influential figure in modern mathematical sciences.
Awards and Honors
Prof. Karachik’s academic excellence has been recognized with multiple awards and honors. In 2012, he received a Diploma from the Ministry of Education and Science of Russia, acknowledging his contributions to mathematical sciences. He was also awarded the JFDP fellowship by the U.S. Department of State in 2002, allowing him to further his studies at an American university. His participation in prestigious workshops and summer schools, such as the E-learning workshop in Tver (2002), Summer School on Econometrics in Lviv (2001), and Summer University in Budapest (2000), demonstrates his commitment to academic excellence. His memberships in the American Mathematical Society, European Mathematical Society, and Zentralblatt für Mathematik further highlight his status as a respected scholar. Through his research, mentorship, and editorial roles, he continues to influence the global mathematical community.
Conclusion
Prof. Valeriy V. Karachik is a renowned mathematician and educator with a distinguished career spanning research, teaching, and academic leadership. His extensive work in partial differential equations, polyharmonic functions, and mathematical analysis has made a significant impact on the field. As a professor, researcher, and editor, he has shaped the next generation of mathematicians while pushing the boundaries of mathematical sciences. With over four decades of experience, numerous publications, and international recognition, he remains a leading figure in the global mathematical community. His dedication to research, contributions to mathematical theories, and commitment to education make him highly deserving of recognition, including prestigious awards such as the Best Researcher Award.
Publications Top Noted
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Title: On Some Integro-Differential Operators in the Class of Harmonic Functions and Their Applications
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Authors: V.V. Karachik, B.K. Turmetov, B.T. Torebek
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Year: 2012
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Citations: 37
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Source: Siberian Advances in Mathematics, 22, 115-134
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Title: Polynomial Solutions to Dirichlet Boundary Value Problem for the 3-Harmonic Equation in a Ball
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Title: A Problem for a Polyharmonic Equation in a Ball
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Title: Об одной задаче для гармонического уравнения (On a Problem for the Harmonic Equation)
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Authors: V.V. Karachik, B.K. Turmetov
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Year: 1990
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Citations: 14
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Source: Известия Академии наук Узбекской ССР. Серия физико-математических наук, 17-21
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Title: Green’s Function of One Problem for the 3-Harmonic Equation in a Ball
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Title: On the Growth Orders and Types of Biregular Functions
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Title: Bitsadze-Samarsky Type Problems with Double Involution
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Authors: M.A. Muratbekova (Moldir A.), V.V. Karachik (Valery V.), B.K. Turmetov (B. Kh)
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Year: 2024
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Source: Boundary Value Problems
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Title: Solvability of the Neumann Boundary Value Problem for the Polyharmonic Equation in a Ball
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Title: Green’s Function of the Riquier–Neumann Problem for the Polyharmonic Equation in the Unit Ball
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Title: On Solvability of Some Inverse Problems for a Nonlocal Fourth-Order Parabolic Equation with Multiple Involution
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Title: Solutions of Umbral Dirac-Type Equations
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Title: On Some Integro-Differential Operators in the Class of Harmonic Functions and Their Applications
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Authors: V.V. Karachik, B.K. Turmetov, B.T. Torebek
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Year: 2012
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Citations: 37
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Source: Siberian Advances in Mathematics, 22, 115-134
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Title: Polynomial Solutions to Dirichlet Boundary Value Problem for the 3-Harmonic Equation in a Ball
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Title: A Problem for a Polyharmonic Equation in a Ball
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Title: Об одной задаче для гармонического уравнения (On a Problem for the Harmonic Equation)
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Authors: V.V. Karachik, B.K. Turmetov
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Year: 1990
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Citations: 14
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Source: Известия Академии наук Узбекской ССР. Серия физико-математических наук, 17-21
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Title: Polynomial Solutions to Dirichlet Boundary Value Problem for the 3-Harmonic Equation in a Ball
-
Title: A Problem for a Polyharmonic Equation in a Ball
-
Title: Об одной задаче для гармонического уравнения (On a Problem for the Harmonic Equation)
-
Authors: V.V. Karachik, B.K. Turmetov
-
Year: 1990
-
Citations: 14
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Source: Известия Академии наук Узбекской ССР. Серия физико-математических наук, 17-21