000 02540nam a22003738i 4500
001 CR9780511574832
003 UkCbUP
005 20200124160234.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090522s1995||||enk o ||1 0|eng|d
020 _a9780511574832 (ebook)
020 _z9780521444743 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA612
_b.P47 1995
082 0 0 _a514/.2
_220
100 1 _aPetryshyn, Wolodymyr V.,
_d1929-
_eauthor.
245 1 0 _aGeneralized topological degree and semilinear equations /
_cWolodymyr V. Petryshyn.
246 3 _aGeneralized Topological Degree & Semilinear Equations
264 1 _aCambridge :
_bCambridge University Press,
_c1995.
300 _a1 online resource (x, 240 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v117
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 2 _aIntroduction to the Brouwer and Leray-Schauder degrees, A-proper mappings, and linear theory -- Generalized degree for densely defined A-proper mappings, with some applications to semilinear equations -- Solvability of periodic semilinear ODEs at resonance -- Semiconstructive solvability, existence theorems, and structure of the solution set -- Solvability of semilinear PDEs at resonance.
520 _aThis book describes many new results and extensions of the theory of generalised topological degree for densely defined A-proper operators and presents important applications, particularly to boundary value problems of non-linear ordinary and partial differential equations, which 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. This 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 non-linear analysis will find this an important resource for new techniques.
650 0 _aTopological degree.
650 0 _aBoundary value problems.
776 0 8 _iPrint version:
_z9780521444743
830 0 _aCambridge tracts in mathematics ;
_v117.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511574832
999 _c517917
_d517915