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An Introduction to Nonlinear Boundary Value Problems

An Introduction to Nonlinear Boundary Value Problems

Lakshmikantham

(1974)

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Abstract

A book on an advanced level that exposes the reader to the fascinating field of differential equations and provides a ready access to an up-to-date state of this art is of immense value. This book presents a variety of techniques that are employed in the theory of nonlinear boundary value problems. For example, the following are discussed:

  1. methods that involve differential inequalities;
  2. shooting and angular function techniques;
  3. functional analytic approaches;
  4. topological methods.