## Nonlinear Operators and Differential Equations in Banach Spaces |

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### Contents

Normed Linear Spaces | 1 |

Preliminary Analysis | 23 |

Spaces of Nonlinear Operators | 61 |

Copyright | |

7 other sections not shown

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### Common terms and phrases

addition analytic apply assertions assume Banach space basic boundary bounded subset chapter choose closed subset compact complete completely continuous cone Consequently consider continuous function continuously differentiable contradiction converges Corollary defined definition denote differential equations e-approximate solution ED(A eigenvalue equicontinuous equivalent establish EXAMPLE Exercise exists fact field finite fixed point follows follows easily Furthermore hence holds immediate implies important indicate inequality interval invertible Lemma linear linear operator linear space measure mild Moreover noncontinuable nonempty nonlinear norm Note obtain operator particular positive integer PROOF proof is complete properties Proposition Proposition 1.1 REMARK replaced result satisfies Section self-adjoint semigroup sequence Show solution solution to 2.1 sufficiently Suppose further suppositions techniques Theorem 2.2 theory tion unique valid

### References to this book

Nonlinear Functional Analysis and Its Applications: Part 2 B: Nonlinear ... E. Zeidler No preview available - 1989 |

Monotone Dynamical Systems: An Introduction to the Theory of Competitive and ... Hal L. Smith No preview available - 2008 |