Overview
This book is intended for readers who have had a course in iso-differential calculus and it can be used for a senior undergraduate course. Chapter 1 deals with exact iso-differential equations, while first-order iso-differential equations are studied in Chapter 2 and Chapter 3. Chapter 4 discusses iso-integral inequalities. Many iso-differential equations cannot be solved as finite combinations of elementary functions. Therefore, it is important to know whether a given iso-differential equation has a solution and if it is unique. These aspects of the existence and uniqueness of the solutions for first-order initial value problems are considered in Chapter 5. Iso-differential inequalities are discussed in Chapter 6. Continuity and differentiability of solutions with respect to initial conditions are examined in Chapter 7. Chapter 8 extends existence-uniqueness results and continuous dependence on initial data for linear iso-differential systems. Basic properties of solutions of linear iso-differential systems are given in Chapter 9. Chapter 10 deals with the fundamental matrix solutions. In Chapter 11, necessary and sufficient conditions are provided so that a linear iso-differential system has only periodic solutions. The asymptotic behaviour of the solutions of linear systems is investigated in Chapter 12. Chapters 13 and 14 are devoted to some aspects of the stability of solutions of iso-differential systems. The last major topic covered in this book is that of boundary value problems involving second-order iso-differential equations. After linear boundary value problems are introduced in Chapter 15, Green's function and its construction is discussed in Chapter 16.
Full Product Details
Author: Svetlin Georgiev
Publisher: Nova Science Publishers Inc
Imprint: Nova Science Publishers Inc
Weight: 0.658kg
ISBN: 9781634633239
ISBN 10: 1634633237
Pages: 270
Publication Date: 01 December 2014
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Available To Order
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Author Information
Svetlin Georgiev (born 1974) is a Bulgarian mathematician working in areas of ordinary differential equations, partial differential equations, stochastic differential equations, Clifford algebras and Clifford analysis. He is currently a Professor at Sofia University (Bulgaria) and Sorbonne University (Paris, France). Svetlin Georgiev is Editor -in- Chief of the journal Clifford Analysis, Clifford Algebras and their Applications. He serves on the advisory board of 5 further journals. He has comprehensive teaching experience in different levels for about 15 years.
