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“…the world is nonlinear”. In this chapter, we distance ourselves a bit from the rigid, yet very useful linear structure of the previous chapters, to venture into a nonlinear world. The aim of this chapter is to offer a small sample of the theory of nonlinear operators between Banach spaces, introducing some basic tools in the study of nonlinear problems, usually found in mathematical models.

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Introduction to Nonlinear Analysis

  • 章节

  • 发表日期：

    2025年

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  • Geraldo Botelho,
  • Daniel Pellegrino,
  • Eduardo Teixeira

摘要

“…the world is nonlinear”. In this chapter, we distance ourselves a bit from the rigid, yet very useful linear structure of the previous chapters, to venture into a nonlinear world. The aim of this chapter is to offer a small sample of the theory of nonlinear operators between Banach spaces, introducing some basic tools in the study of nonlinear problems, usually found in mathematical models.