Generalized topological degree and semilinear equations
Wolodymyr V. Petryshyn
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.
Κατηγορίες:
Έτος:
1995
Εκδότης:
CUP
Γλώσσα:
english
Σελίδες:
251
ISBN 10:
0521444748
ISBN 13:
9780521444743
Σειρές:
Cambridge Tracts in Mathematics
Αρχείο:
DJVU, 1.50 MB
IPFS:
,
english, 1995