Topological Methods in the Study of Boundary Value Problem
نام عام مواد
[Book]
نام نخستين پديدآور
/ electronic resource
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Boston, MA
نام ناشر، پخش کننده و غيره
: Springer US :Imprint: Springer,
تاریخ نشرو بخش و غیره
, 2014.
مشخصات ظاهری
نام خاص و کميت اثر
XVI, 226 s. 18 illus. , online resource..
فروست
عنوان فروست
(Universitext,0172-5939)
يادداشت کلی
متن يادداشت
9781461488927.
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
Summary: This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable to non-specialists. The main topics in the study of boundary value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrich their tools for solving nonlinear problems. In comparison with other texts in the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties of this interesting branch of mathematics. Exercises and examples are included throughout the book, providing motivation for the reader.
متن يادداشت
Introduction -- Shooting type methods -- The Banach Fixed Point Theorem.-aSchauder@2019s Theorem and applications.-aTopological degree: an introduction -- Applications.-aBasic facts on metric and normed spaces -- Brief review of ODE@2019s.-aHints and Solutions to Selected Exercises.
فروست (داده ارتباطی)
عنوان
Universitext,0172-5939
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Global analysis (Mathematics)
موضوع مستند نشده
Differential Equations
موضوع مستند نشده
Differential equations, partial
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Analysis
موضوع مستند نشده
Ordinary Differential Equations
موضوع مستند نشده
Partial Differential Equations
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )