This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results. Many applications of current interest in the theory of nonlinear differential equations are presented to complement the theory. The text is essentially self-contained, so it may also be used as an introduction to topological methods in nonlinear analysis. This volume will appeal to graduate students and researchers in mathematical analysis and its applications.
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"This book is bound to be useful guide for those who deal with differential equations." -- P. Ch. Tsamatos of University of Ioannina, Greece
--This text refers to an alternate
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First Sentence:
The theorems of Leray-Schauder type, also called continuation theorems, represent a powerful existence tool in studying operator equations and inclusions (of particular interest is the theory of nonlinear differential equations). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
topological transversality theorem, accretive maps, following existence principle, continuation theorems, compact map, continuation principles, maximal monotone, coincidence point, degree theory, nonlinear boundary value problems, essential map, fixed point theory, fixed point theorem, point boundary value problems, type theorems, addition suppose, addition assume Key Phrases - Capitalized Phrases (CAPs): (learn more)
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The theorems of Leray-Schauder type, also called continuation theorems, represent a powerful existence tool in studying operator equations and inclusions (of particular interest is the theory of nonlinear differential equations). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
topological transversality theorem, accretive maps, following existence principle, continuation theorems, compact map, continuation principles, maximal monotone, coincidence point, degree theory, nonlinear boundary value problems, essential map, fixed point theory, fixed point theorem, point boundary value problems, type theorems, addition suppose, addition assume Key Phrases - Capitalized Phrases (CAPs): (learn more)
Also Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 16
books:
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10
books
cite this book:
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- Topological Methods in Differential Equations and Inclusions (NATO Science Series C: (closed)) by Gert Sabidussi in Back Matter (1), Back Matter (2), and Back Matter (3)
- Differential Equations: Dynamical Systems, and Control Science: Lecture Notes in Pure and Applied Mathematics Series/152 by K.D. Elworthy in Back Matter (1), and Back Matter (2)
- Nonlinear Analysis by Themistocles M. Rassias in Back Matter (1), and Back Matter (2)
- Integral and Integrodifferential Equations: Theory, Methods and Applications (Mathematical Analysis and Applications) by Ravi P. Agarwal in Front Matter
- Focal Boundary Value Problems for Differential and Difference Equations (Mathematics and Its Applications (closed)) by R.P. Agarwal in Back Matter
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- Topological Degree Theory and Applications (Mathematical Analysis and Applications) by Yeol Je Cho in Front Matter, and page 210
- Nonlinear Analysis (Mathematical Analysis and Applications) by Leszek Gasinski in Front Matter, and Back Matter
- Oscillation Theory for Second Order Dynamic Equations (Mathematical Analysis and Applications) by Ravi P. Agarwal on page 34
- Theory of Fuzzy Differential Equations and Inclusions (Mathematical Analysis and Applications) by V. Lakshmikantham in Front Matter
- Methods in Nonlinear Integral Equations by R. Precup in Back Matter
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