On Complex Differential Equations in the Unit Disc

On Complex Differential Equations in the Unit Disc PDF Author: Janne Heittokangas
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 62

Get Book Here

Book Description

On Complex Differential Equations in the Unit Disc

On Complex Differential Equations in the Unit Disc PDF Author: Janne Heittokangas
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 62

Get Book Here

Book Description


Value Distribution for Solutions of Complex Differential Equations in the Unit Disk

Value Distribution for Solutions of Complex Differential Equations in the Unit Disk PDF Author: Djamel Benbourenane
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 274

Get Book Here

Book Description


Complex Analytic Methods for Partial Differential Equations

Complex Analytic Methods for Partial Differential Equations PDF Author: Heinrich G. W. Begehr
Publisher: World Scientific
ISBN: 9789810215507
Category : Mathematics
Languages : en
Pages : 288

Get Book Here

Book Description
This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and Riemann-Hilbert boundary value problems are discussed for analytic functions, for inhomogeneous Cauchy-Riemann systems as well as for generalized Beltrami systems. Related problems such as the Poincar‚ problem, pseudoparabolic systems and complex elliptic second order equations are also considered. Estimates for solutions to linear equations existence and uniqueness results are thus available for related nonlinear problems; the method is explained by constructing entire solutions to nonlinear Beltrami equations. Often problems are discussed just for the unit disc but more general domains, even of multiply connectivity, are involved.

Normal Functions, the MacLane Class, and Complex Differential Equations in the Unit Disk

Normal Functions, the MacLane Class, and Complex Differential Equations in the Unit Disk PDF Author: Kari Fowler
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 152

Get Book Here

Book Description


Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations PDF Author: Bert-Wolfgang Schulze
Publisher: Springer Science & Business Media
ISBN: 3034601980
Category : Mathematics
Languages : en
Pages : 294

Get Book Here

Book Description
Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.

Handbook of Differential Equations: Ordinary Differential Equations

Handbook of Differential Equations: Ordinary Differential Equations PDF Author: Flaviano Battelli
Publisher: Elsevier
ISBN: 0080559468
Category : Mathematics
Languages : en
Pages : 719

Get Book Here

Book Description
This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real-world applications - Written for mathematicians and scientists of many related fields

Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable)

Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable) PDF Author: Bhui, Bikas Chandra & Chatterjee Dipak
Publisher: Vikas Publishing House
ISBN: 9353381312
Category :
Languages : en
Pages :

Get Book Here

Book Description
Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable) for the paper BSC-104 of the latest AICTE syllabus has been written for the second semester engineering students of Indian universities. Paper BSC-104 is common for all streams except CS&E students. The book has been planned with utmost care in the exposition of concepts, choice of illustrative examples, and also in sequencing of topics. The language is simple, yet accurate. A large number of worked-out problems have been included to familiarize the students with the techniques to solving them, and to instil confidence. Authors’ long experience of teaching various grades of students has helped in laying proper emphasis on various techniques of solving difficult problems.

Complex Variables

Complex Variables PDF Author: Steven G. Krantz
Publisher: CRC Press
ISBN: 1000007189
Category : Mathematics
Languages : en
Pages : 243

Get Book Here

Book Description
The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers. This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications. Features: This new edition is a substantial rewrite, focusing on the accessibility, applied, and visual aspect of complex analysis This book has an exceptionally large number of examples and a large number of figures. The topic is presented as a natural outgrowth of the calculus. It is not a new language, or a new way of thinking. Incisive applications appear throughout the book. Partial differential equations are used as a unifying theme.

Singular Partial Differential Equations

Singular Partial Differential Equations PDF Author: Abduhamid Dzhuraev
Publisher: CRC Press
ISBN: 9781584881445
Category : Science
Languages : en
Pages : 220

Get Book Here

Book Description
Singular Partial Differential Equations provides an analytical, constructive, and elementary approach to non-elementary problems. In the first monograph to consider such equations, the author investigates the solvability of partial differential equations and systems in a class of bounded functions with complex coefficients having singularities at the inner points or boundary of the domain. Using complex variable techniques, the author considers a variety of problems, including the Dirichlet, Neumann, and other problems for first order systems. He also explores applications to singular equations, degenerate, high-dimensional Beltrami systems in Cn,, and others. Singular Partial Differential Equations fills a gap in the literature on degenerate and singular partial differential equations and significantly contributes to the theory of boundary value problems for these equations and systems. It will undoubtedly stimulate further research in the field. Practical applications in analysis and physics make this important reading for researchers and students in physics and engineering, along with mathematicians.

Applied Complex Analysis with Partial Differential Equations

Applied Complex Analysis with Partial Differential Equations PDF Author: Nakhlé H. Asmar
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 904

Get Book Here

Book Description
This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool.