Cover of: Generalized topological degree and semilinear equations | Wolodymyr V. Petryshyn

Generalized topological degree and semilinear equations

  • 240 Pages
  • 1.53 MB
  • 5810 Downloads
  • English
by
Cambridge University Press , Cambridge, New York
Topological degree., Boundary value prob
StatementWolodymyr V. Petryshyn.
SeriesCambridge tracts in mathematics ;, 117
Classifications
LC ClassificationsQA612 .P47 1995
The Physical Object
Paginationx, 240 p. ;
ID Numbers
Open LibraryOL1274261M
ISBN 100521444748
LC Control Number95005780

Book Review: Generalized topological degree and semilinear equations Article (PDF Available) in Bulletin of the American Mathematical Society 34(02) April with 41 ReadsAuthor: Jean Mawhin. : Generalized Topological Degree and Semilinear Equations (Cambridge Tracts in Mathematics) (): Wolodymyr V.

Petryshyn: BooksCited by: 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. Get this from a library. Generalized topological degree and semilinear equations. [Wolodymyr V Petryshyn] -- Presents results and applications of the theory to nonlinear ODEs and PDEs.

Get this from a library. Generalized topological degree and semilinear equations. [Wolodymyr V Petryshyn] -- This book describes many new results and extensions of the theory of generalised topological degree for densely defined A-proper operators.

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Generalized degree theory for semilinear operator equations Article (PDF Available) in Glasgow Mathematical Journal 48(01) February with 35 Reads How we measure 'reads'. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications.

The authors begin by introducing the Brouwer degree theory in Rn, then consider the Leray-Schauder degree for compact mappings in normed spaces. Since the s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis.

Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and. Since the s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis.

Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications. This chapter presents the semilinear equations of gradient type in Hilbert spaces and applications to differential equations.

It discusses the way by which the basic existence results of Amanns' paper can be proved in a simple and straightforward way by combining the simple approach of with the alternative method and degree arguments. Positive Solutions of Semilinear Elliptic Equations on General Domains.

Nonlinear Diffusion Equations and Their Equilibrium States II, () Cited by: K. Gęba, Degree for gradient equivariant maps and equivariant Conley index, Topological Nonlinear Analysis II, Progress in Nonlinear Differential Equations and their Applications (M. Matzeu and A. Vignoli, eds.), vol.

27, Birkhaüser,pp. – Google Scholar. Using these tools, the author defines the generalised topological degree for densely defined A-proper mappings, gives applications to the solubility of an important class of semilinear abstract and differential equations, and discusses global bifurcation results.

The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations.

Description Generalized topological degree and semilinear equations EPUB

A topological degree approach to sublinear systems of second order differential equations. Discrete & Continuous Dynamical Systems - A,6 (4): Author: Jason R. Morris. A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, This volume consists of the Proceedings of the Institute.

These Proceedings include the invited lectures and contributed papersBrand: Springer Netherlands. () Computation of topological degree of unilaterally asymptotically linear operators and its applications.

Nonlinear Analysis: Theory, Methods & Applications() Positive solutions of a competition model for two resources in the unstirred by: The degree theoretic approach was first used in semilinear variational inequalities by Szulkin [43], [44], Miersemann [37] and Kucera [28]. More recently, important contributions in the direction of nonlinear problems, were made by Le [32], [33].

This chapter focuses on nonlinear functional analysis and periodic solutions of semilinear wave equations. It provides the proof and the application of a Leray–Schauder type continuation theorem for semilinear equations in a Hilbert space H of the form Lu + Nu = 0, where L belongs to a class of linear operators having possibly an infinite-dimensional kernel and N is a (not necessarily small Cited by: A new approximation solvability method is developed for the study of semilinear differential equations with nonlocal conditions without the compactness of the semigroup and of the nonlinearity.

The method is based on the Yosida approximations of the generator of C 0 -semigroup, the continuation principle, and the weak by: 2. Berkovits and V.

Mustonen, Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems, Rend. Mat. Appl. (7) 12 (), no. 3, – (English, with English and Italian summaries). MR P.

Drábek, Solvability and bifurcations of nonlinear equations, Pitman Research Notes in Mathematics Series, vol. Longman. Semilinear Equations on Sale. We feature low cost Semilinear Equations, Our inventory includes variety of Semilinear Equations. Serving and fulfilling orders at wholesale prices from Ebay.

Topological degree approach to bifurcation problems Michal Feckan This book is devoted to bifurcations of periodic, subharmonic and chaotic oscillations, and travelling waves in nonlinear differential equations and discrete dynamical systems by using the topological degree theory both for single-valued and multi-valued mappings in Banach spaces.

NONLINEA R FUNCTIONA L ANALYSI S AN D ITS APPLICATION S The topological degree at a critical point of mountain-pass type HELMUT HOFER On the index and the covering dimension of the solution set of semilinear equations P.

MILOJEVIC Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations by V. Lakshmikantham,available at Book Depository with free delivery worldwide. This is a Wikipedia book, a collection of Wikipedia articles that can be easily saved, imported by an external electronic rendering service, and ordered as a printed book.

Edit this book: Book Creator. Dissertation: Generalized Conjugate Gradient and Lanczos Methods for the Solution of Nonsymmetric Systems of Linear Equations Current Placement: Los Alamos Kang, Joonsook Lee.

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The topological degree at a critical point of mountain-pass type. AMS Proceedings of Symposia in Pure Math., –, [61] Kelley, J. General by: 6. Topological Degree Theory And Applications.

These are the books for those you who looking for to read the Topological Degree Theory And Applications, try to read or download Pdf/ePub books and some of authors may have disable the live the book if it available for your country and user who already subscribe will have full access all free books from the library source.

This book attempts to present some of the more recent developments from a cross-section of views on boundary value problems for functional differential equations. degree theoretic, and topological transversality strategies. A balance with applications is provided through a number of papers dealing with a pendulum with dry friction, heat.

46F Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) 46F None of the above, but in this section 46Gxx: Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces).

Show Summary Details. More options Author: Maciej Starostka.The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are .