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Author: Khalid Alshammari
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Khalid Alshammari
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Sergeĭ I︠U︡rʹevich Slavi︠a︡nov
Publisher: Oxford University Press, USA
ISBN: 9780198505730
Category : Mathematics
Languages : en
Pages : 318
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Book Description
The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.
Author: Ĭosip Zakharovych Shtokalo
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 120
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Author: Francois Treves
Publisher: CRC Press
ISBN: 9780677011905
Category : Mathematics
Languages : en
Pages : 552
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Book Description
Existence and approximation theorems for general differential operators -- General L2 estimates -- Fundamental solutions -- The approximation theorem -- Existence theorems for differential operators with constant coefficients -- Convexity with respect to a differential polynomial -- Interior regularity of solutions -- Partial hypoellipticity -- Existence and approximation theorems in spaces of analytic functions -- Appendix A. Semi-algebraic sets -- Appendix B. On uniqueness in the Cauchy problem -- Appendix C. Some formulas of non-commutative algebra.
Author: Everard Mott Williams
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 166
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Author: Gustav Doetsch
Publisher: Springer
ISBN: 9783540064077
Category : Laplace transformation
Languages : en
Pages : 326
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Book Description
In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordi nary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed func tions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical prob lems are inserted, when the theory is adequately· developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transforma tion. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dom inating idea of all subsequent considerations.
Author: David Vernon Widder
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 18
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Author: Po-Fang Hsieh
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 40
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The main interest in this paper was to study the behavior of asymptotic solutions of a linear differential equation in the large by studying the properties of asymptotic solutions with respect to (x, a sub 1 ..., a sub m).
Author:
Publisher: Elsevier
ISBN: 0080871291
Category : Mathematics
Languages : en
Pages : 307
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Book Description
Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient
Author: FRANK SWAN BEALE
Publisher:
ISBN:
Category :
Languages : en
Pages : 94
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Book Description
