Boundness of Functions of Positive Operators and their Applications

Lecture by Prof. Allaberen Ashyralyev October 24, 2023 Abstract: In the present study, the abstract approach for solutions of partial differential equations in the modeling of processes of engineering and technology. Various local and nonlocal problems for partial differential equations can be reduced to local and nonlocal problems for ordinary differential equations in Banach spaces with unbounded positive operator. The boundness of functions of some positive operators is considered. Prof. Dr. Ashyralyev was born in Konekesir/Turkmenistan in 1955. He completed his a high school education in 1972 in Konekesir with a gold medal for excellence at Secondary School Level. He graduated from the Turkmen State University in 1977. He was awarded with the Lenin’s Grant for Students during his education (1974-1977). He earned his PhD from the Voronezh State University in 1983, and his Doctorate of Sciences from the same University and the Institute of Mathematics of the Ukraine Academy of Sciences in 1992. Ashyralyev had been awarded the First Rank Prize for PhD students upon his graduation in 1983. Dr. Ashyralyev was a visiting scholar at the Voronezh State University, Russia, in 1979, 1985, 1991 and University of California, Santa Barbara, USA, in 1987-1988.Dr. Ashyralyev continued his career at the Turkmen State University from 1977 to 1999 as an Instructor, assistant professor (1985), associate professor (1989), and professor (1995), respectively. In 1996 Ashyralyev had been awarded the entitled Master Teacher of Turkmenistan by Ministry of Education, Turkmenistan. Since September 01, 1999 to May 30, 2016, Prof. Ashyralyev has been a staff member of the Department of Mathematics and Elementary Mathematics Education, Fatih University, Turkey and visiting professor at the Intenational TTU,Turkmenistan. Since May 15, 2015 Prof. Ashyralyev has been a visiting Professor, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan and since April 01, 2017 visiting

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