Nonlinear Analysis
eBook - PDF

Nonlinear Analysis

  1. 252 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonlinear Analysis

About this book

Nonlinear Analysis: A Collection of Papers in Honor of Erich H. Rothe is a collection of papers in honor of Erich H. Rothe, a mathematician who has made significant contributions to various aspects of nonlinear functional analysis. Topics covered range from periodic solutions of semilinear parabolic equations to nonlinear problems across a point of resonance for non-self-adjoint systems. Nonlinear boundary value problems for ordinary differential equations are also considered. Comprised of 14 chapters, this volume first discusses the use of fixed-point theorems in ordered Banach spaces to prove existence and multiplicity result for periodic solutions of semilinear parabolic differential equations of the second order. The reader is then introduced to linear maximal monotone operators and singular nonlinear integral equations of Hammerstein type. Subsequent chapters focus on the branching of periodic solutions of non-autonomous systems; restricted generic bifurcation; Tikhonov regularization and nonlinear problems at resonance; and minimax theorems and their applications to nonlinear partial differential equations. This monograph will be of interest to students and practitioners in the field of mathematics.

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Yes, you can access Nonlinear Analysis by Erich H. Rothe, Lamberto Cesari,Rangachari Kannan,Hans F. Weinberger in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780121655501
eBook ISBN
9781483262543
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Nonlinear Analysis: A Collection of Papers in Honor of Erich H. Rothe
  3. Copyright Page
  4. Table of Contents
  5. LIST OF CONTRIBUTORS
  6. PREFACE
  7. Chapter 1. Periodic Solutions of Semilinear Parabolic Equations
  8. Chapter 2. Linear Maximal Monotone Operatorsand Singular Nonlinear Integral Equations of Hammerstein Type
  9. Chapter 3. Nonlinear Problems across a Point of Resonance for Nonselfadjoint Systems
  10. Chapter 4. Branching of Periodic Solutions of Nonautonomous Systems
  11. Chapter 5. Restricted Generic Bifurcation
  12. Chapter 6. On a Second-Order Nonlinear Elliptic Boundary Value Problem
  13. Chapter 7. Tikhonov Regularization and Nonlinear Problems at Resonanceā€”Deterministic and Random
  14. Chapter 8. The Eigenvalue Problem for Variational Inequalities and a New Version of the Ljusternikā€“Schnirelmann Theory
  15. Chapter 9. Nonlinear Boundary Value Problems for Ordinary Differential Equations: From Schauder Theorem to Stable Homotopy
  16. Chapter 10. Some Minimax Theorems and Applications to Nonlinear Partial Differential Equations
  17. Chapter 11. Branching and Stability for Nonlinear Gradient Operators
  18. Chapter 12. Recent Progress in Bifurcation Theory
  19. Chapter 13. On the Subgradient of Convex Functionals
  20. 14. On the Stability of Bifurcating Solutions
  21. PUBLISHED WORKS OF ERICH H. ROTHE