topological methods in the study of boundary value problems

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Topological Methods In The Study Of Boundary Value Problems

Author : Pablo Amster
ISBN : 9781461488934
Genre : Mathematics
File Size : 30. 40 MB
Format : PDF
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This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable to non-specialists. The main topics in the study of boundary value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrich their tools for solving nonlinear problems. In comparison with other texts in the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties of this interesting branch of mathematics. Exercises and examples are included throughout the book, providing motivation for the reader.

Topological Methods For Asymmetric Boundary Value Problems

Author : Patrick J. McKenna
ISBN : UOM:39015037459909
Genre : Boundary value problems
File Size : 21. 24 MB
Format : PDF, ePub
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Variational And Topological Methods In The Study Of Nonlinear Phenomena

Author : Vieri Benci
ISBN : UOM:39015054149623
Genre : Mathematics
File Size : 78. 93 MB
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This volume covers recent advances in the field of nonlinear functional analysis and its applications to nonlinear partial and ordinary differential equations, with particular emphasis on variational and topological methods.A broad range of topics is covered, including: * concentration phenomena in pdes* variational methods with applications to pdes and physics* periodic solutions of odes* computational aspects in topological methods* mathematical models in biologyThough well-differentiated, the topics covered are unified through a common perspective and approach. Unique to the work are several chapters on computational aspects and applications to biology, not usually found with such basic studies on pdes and odes. The volume will be an excellent reference text for researchers and graduate students in the above mentioned fields.Contributors: M. Clapp, M. Del Pino, M. Esteban, P. Felmer, A. Ioffe, W. Marzantowicz, M. Mrozek, M. Musso, R. Ortega, P. Pilarczyk, E. Sere, P. Sintzoff, R. Turner, M. Willem

Topological Methods In Nonlinear Analysis

Author :
ISBN : UOM:39015072629846
Genre : Topology
File Size : 90. 12 MB
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Topological And Variational Methods With Applications To Nonlinear Boundary Value Problems

Author : Dumitru Motreanu
ISBN : 9781461493235
Genre : Mathematics
File Size : 61. 90 MB
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This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.

Nonlinear Elliptic Boundary Value Problems

Author : I. V. Skrypnik
ISBN : UCAL:B4179078
Genre : Mathematics
File Size : 60. 84 MB
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Global Analysis Studies And Applications Iv

Author : Yurii G. Borisovich
ISBN : 3540534075
Genre : Mathematics
File Size : 65. 77 MB
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