Functional Analysis in Interdisciplinary ApplicationsII

Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties. Motivated by their large applicability to real life problems, applications of functional analysis have been the aim of an intensive study effort in the last decades, yielding significant progress in the theory of functions and functional spaces, differential and difference equations and boundary value problems, differential and integral operators and spectral theory, and mathematical methods in physical and engineering sciences. The present volume is devoted to these investigations. The publication of this collection of papers is based on the materials of the mini-symposium "Functional Analysis in Interdisciplinary Applications" organized in the framework of the Fourth International Conference on Analysis and Applied Mathematics (ICAAM 2018, September 6-9, 2018). Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis. Many articles are written by experts from around the world, strengthening international integration in the fields covered. The contributions to the volume, all peer reviewed, contain numerous new results. This volume contains four different chapters. The first chapter contains the contributed papers focusing on various aspects of the theory of functions and functional spaces. The second chapter is devoted to the research on difference and differential equations and boundary value problems. The third chapter contains the results of studies on differential and integral operators and on the spectral theory. The fourth chapter is focused on the simulation of problems arising in real-world applications of applied sciences.

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 title Master Teacher of Turkmenistan by Ministry of Education, Turkmenistan. Since 1999 to June 30, 2016, Prof. Ashyralyev has been a staff member of the Department of Mathematics and Elementary Mathematics Education, FU, Turkey and visiting professor at the ITTU, Turkmenistan. Since 2015 Prof. Ashyralyev has been a visiting Professor, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan and since 01.04.2017 visiting professor at the Peoples' Friendship University of Russia (RUDN), Russia. Since 20.09.2016 Prof. Ashyralyev has been a staff member of the Department of Mathematics, Near East University in Cyprus. Since the Spring of 2018, he has been the Head of Department of Mathematics Education at the Atatürk Education Faculty. The research interests of A. Ashyralyev are broad and include different problems of numerical functional analysis, well-posedness o