Background
Yakubov, Yakov was born on March 25, 1962 in Baku, Azerbaijan. Arrived in Israel, 1990. Son of Sasun and Ester Yakubov.
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Differential-Operator Equations: Ordinary and Partial Differential Equations (Monographs and Surveys in Pure and Applied Mathematics)
(The theory of differential-operator equations is one of t...)
The theory of differential-operator equations is one of two modern theories for the study of both ordinary and partial differential equations, with numerous applications in mechanics and theoretical physics. Although a number of published works address differential-operator equations of the first and second orders, to date none offer a treatment of the higher orders. In Differential-Operator Equations, the authors present a systematic treatment of the theory of differential-operator equations of higher order, with applications to partial differential equations. They construct a theory that allows application to both regular and irregular differential problems. In particular, they study problems that cannot be solved by various known methods and irregular problems not addressed in existing monographs. These include Birkhoff-irregularity, non-local boundary value conditions, and non-smoothness of the boundary of the domains. Among this volume's other points of interest are: • The Abel basis property of a system of root functions • Irregular boundary value problems • The theory of hyperbolic equations in Gevrey space • The theory of boundary value problems for elliptic differential equations with a parameter
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Application of Abstract Differential Equations to Some Mechanical Problems (Mathematics and Its Applications)
(PREFACE The theory of differential-operator equations has...)
PREFACE The theory of differential-operator equations has been described in various monographs, but the initial physical problem which leads to these equations is often hidden. When the physical problem is studied, the mathematical proofs are either not given or are quickly explained. In this book, we give a systematic treatment of the partial differential equations which arise in elastostatic problems. In particular, we study problems which are obtained from asymptotic expansion with two scales. Here the methods of operator pencils and differential-operator equations are used. This book is intended for scientists and graduate students in Functional Analy sis, Differential Equations, Equations of Mathematical Physics, and related topics. It would undoubtedly be very useful for mechanics and theoretical physicists. We would like to thank Professors S. Yakubov and S. Kamin for helpfull dis cussions of some parts of the book. The work on the book was also partially supported by the European Community Program RTN-HPRN-CT-2002-00274. xiii INTRODUCTION In first two sections of the introduction, a classical mathematical problem will be exposed: the Laplace problem. The domain of definition will be, on the first time, an infinite strip and on the second time, a sector. To solve this problem, a well known separation of variables method will be used. In this way, the structure of the solution can be explicitly found. For more details about the separation of variables method exposed in this part, the reader can refer to, for example, the book by D. Leguillon and E. Sanchez-Palencia LS.
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Yakov Yakubov
Edit ProfileEducation
Master of Science, Azerbaijan State University, Baku, 1984. Doctor of Philosophy, Institute of Mathematics and Mechanics, Baku, 1986.
Career
Researcher Institute of Mathematics and Mechanics, Baku, Azerbaijan, 1984—1990, Weizmann Institute of Science, Rehovot, Israel, 1991—1993. Researcher and teacher Tel-Aviv University and Shenkar College, Tel-Aviv and Ramat-Gan, Israel, 1993—2000. Senior researcher Tel-Aviv University, 2000—2005, professor, since 2005.
Achievements
Works
book
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Differential-Operator Equations: Ordinary and Partial Differential Equations (Monographs and Surveys in Pure and Applied Mathematics)
(The theory of differential-operator equations is one of t...)
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Application of Abstract Differential Equations to Some Mechanical Problems (Mathematics and Its Applications)
(PREFACE The theory of differential-operator equations has...)
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Differential-Operator Equations: Ordinary and Partial Differential Equations (Monographs and Surveys in Pure and Applied Mathematics)
Membership
Member of European Mathematics Society, Israel Mathematics Union.
Interests
Connections
Married Rivka Rahamimov, October 11, 1987. Children: Sara, Shirly.
