Nonlinear differential equations

Nonlinear differential equations

by Fučík, Svatopluk

Type Book
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Title Statements

  • Full title :Nonlinear differential equations / Svatopluk Fučík, Alois Kufner.

Edition Statements

  • Publication Date:1980.

Publication Statements

The Physical Object

  • Description:1 online resource (359 pages)

Edition Identifiers

  • ISBN:9781483278377, 1483278379, 9781322465005, 1322465002
  • oclc:ocn610135356
  • LC Classification:QA371
  • Dewey Decimal:515/.35

Table of Contents

Front Cover; Nonlinear Differential Equations; Copyright Page; Table of Contents; PREFACE; LIST OF SYMBOLS; CHAPTER I. SOME EXAMPLES TO BEGIN WITH; Section 1. Various Notations. Linear Equations; Section 2. Nonlinear Equations; Section 3. Nonlinear Systems; Section 4. Further Nonlinear Problems; Section 5. A Free Boundary Problem. The Plate Equation; CHAPTER II. INTRODUCTION; Section 6. Second Order Equations; Section 7. Higher Order Equations; Section 8. Spaces of Continuous Functions. Solution of a Differential Equation; Section 9. Boundary Conditions

Section 21. Second Derivative of a FunctionalSection 22. Lagrange Conditions; Section 23. Convex Functionals; Section 24. Weak Convergence and Weak Compactness; Section 25. Reflexive Spaces; Section 26. Existence Theorems; Section 27. Minimal Surfaces; Section 28. Excursion on Numerical Methods; CHAPTER V. THE TOPOLOGICAL METHOD; Section 29. Existence Theorems; Section 30. The Brouwer and the Leray-Schauder Degree of a Mapping; Section 31. General Boundary Conditions for Second Order Ordinary Differential Equations; Section 32. Summary of Chapters IV and V. Some Additional Remarks

CHAPTER VI. NONCOERCIVE PROBLEMSSection 33. Vanis…

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