Author: Robert C. SinePublisher: American Mathematical Soc.
ISBN: 0821850180
Category : Mathematics
Languages : en
Pages : 264
Book Description
Fixed Points and Nonexpansive Mappings
Author: Robert C. SinePublisher: American Mathematical Soc.
ISBN: 0821850180
Category : Mathematics
Languages : en
Pages : 264
Book Description
Sturm-Liouville Operators and Applications
Author: Vladimir Aleksandrovich MarchenkoPublisher: American Mathematical Soc.
ISBN: 0821853163
Category : Mathematics
Languages : en
Pages : 410
Book Description
The spectral theory of Sturm-Liouville operators is a classical domain of analysis, comprising a wide variety of problems. This book aims to show what can be achieved with the aid of transformation operators in spectral theory as well as their applications.
Dissertation Abstracts International
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 612
Book Description
Comprehensive Dissertation Index
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1016
Book Description
Lyapunov Inequalities and Applications
Author: Ravi P. AgarwalPublisher: Springer Nature
ISBN: 3030690296
Category : Mathematics
Languages : en
Pages : 607
Book Description
This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic. In an elegant and didactic way, this work presents the concepts underlying Lyapunov-type inequalities, covering how they developed and what kind of problems they address. This survey starts by introducing basic applications of Lyapunov’s inequalities. It then advances towards even-order, odd-order, and higher-order boundary value problems; Lyapunov and Hartman-type inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial differential equations; linear difference equations; and Lyapunov-type inequalities for linear, half-linear, and nonlinear dynamic equations on time scales, as well as linear Hamiltonian dynamic systems. Senior undergraduate students and graduate students of mathematics, engineering, and science will benefit most from this book, as well as researchers in the areas of ordinary differential equations, partial differential equations, difference equations, and dynamic equations. Some background in calculus, ordinary and partial differential equations, and difference equations is recommended for full enjoyment of the content.
Spectral and Scattering Theory for Ordinary Differential Equations
Author: Christer BennewitzPublisher: Springer Nature
ISBN: 3030590887
Category : Mathematics
Languages : en
Pages : 379
Book Description
This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm–Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm–Liouville equations. The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.
Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
Book Description
American Doctoral Dissertations
Author: Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 604
Book Description
Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews
Author: Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 832
Book Description
Author: