Generalized Topological Degree and Semilinear Equations

Klappentext This book describes many new results and extensions of the theory of generalized topological degree for densely defined A-proper operators and presents important applications, particularly to boundary value problems of nonlinear ordinary and partial differential equations that are intractable under any other existing theory. A-proper mappings arise naturally in the solution to an equation in infinite dimensional space via the finite dimensional approximation. The theory subsumes classical theory involving compact vector fields as well as the more recent theories of condensing vector-fields, strongly monotone, and strongly accretive maps. Researchers and graduate students in mathematics, applied mathematics, and physics who make use of nonlinear analysis will find this an important resource for new techniques. Zusammenfassung This book describes extensions of the theory of generalised topological degree for densely defined A-proper operators and presents applications to boundary value problems of non-linear ordinary and partial differential equations intractable under any other existing theory. Researchers in nonlinear analysis will find this an important resource.

Produktdetails

• Autoren: Wolodymr V. Petryshyn, Wolodymyr V. Petryshyn, Wolodymyr V. (Rutgers University Petryshyn
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 29.09.1995
• EAN: 9780521444743
• ISBN: 978-0-521-44474-3
• Seiten: 252
• Serien: Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis