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Generalized topological degree and s...

Petryshyn, Wolodymyr V., (1929-)

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Generalized topological degree and semilinear equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Generalized topological degree and semilinear equations/ Wolodymyr V. Petryshyn.
其他題名:	Generalized Topological Degree & Semilinear Equations
作者:	Petryshyn, Wolodymyr V.,
出版者:	Cambridge :Cambridge University Press, : 1995.,
面頁冊數:	x, 240 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Introduction 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.
標題:	Topological degree. -
電子資源:	https://doi.org/10.1017/CBO9780511574832
ISBN:	9780511574832

Generalized topological degree and semilinear equations
Petryshyn, Wolodymyr V.,1929-

Generalized topological degree and semilinear equations[electronic resource] /Generalized Topological Degree & Semilinear EquationsWolodymyr V. Petryshyn. - Cambridge :Cambridge University Press,1995. - x, 240 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;117. - Cambridge tracts in mathematics ;117..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction 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.

This 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.

ISBN: 9780511574832Subjects--Topical Terms:

704937
Topological degree.

LC Class. No.: QA612 / .P47 1995

Dewey Class. No.: 514.2

Generalized topological degree and semilinear equations
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 2 $a Introduction 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 $a This 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 $a Topological degree. $3 704937
650 0 $a Boundary value problems. $3 527599
830 0 $a Cambridge tracts in mathematics ; $v 117. $3 3470707
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