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Feldname	Details
Dewey Class	515 (DDC 23)
Titel	Topological Methods in the Study of Boundary Value Problems (EB) / by Pablo Amster.
Verfasser	Amster, Pablo
Other name(s)	SpringerLink (Online service)
Veröffentl	Boston, MA : Springer US, 2014.
Physical Details	XVI, 226 p. 18 illus. : online resource.
ISBN	9781461488934
Summary Note	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.:
Contents note	Introduction -- Shooting type methods -- The Banach Fixed Point Theorem.- Schauder’s Theorem and applications.- Topological degree: an introduction -- Applications.- Basic facts on metric and normed spaces -- Brief review of ODE’s.- Hints and Solutions to Selected Exercises.
System details note	Online access to this digital book is restricted to susbcription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4614-8893-4
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Analysis . Differential Equations . Differential equations, Partial . Global analysis (Mathematics) . Mathematics . Ordinary differential equations . Partial differential equations . Authors: Amster, Pablo . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515 (DDC 23) .

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Topological Methods in the Study of Boundary Value Problems

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