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Analyse fonctionnelle non linéaire --- Nonlinear functional analysis --- Analyse fonctionnelle non linéaire. --- Opérateurs non linéaires --- Opérateurs non linéaires

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The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find their place into a monograph till now, mainly because they are very new. So, the book, although containing the main parts of the classical theory of Co-semigroups, as the Hille-Yosida theory, includes also several very new results, as for instance those referring to various classes of semigr

Semigroups of operators.

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The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and

Differential equations. --- Mathematics. --- Set theory. --- Symmetry (Mathematics). --- Differential equations --- Set theory --- Symmetry (Mathematics) --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Invariance (Mathematics) --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- 517.91 Differential equations --- Group theory --- Automorphisms --- Logic, Symbolic and mathematical