Compression-Expansion Theorems of Krasnoselskii Type and Applications
Sorin Monel Budisan
Broschiertes Buch

Compression-Expansion Theorems of Krasnoselskii Type and Applications

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The compression-expansion theorems of Krasnoselskii represent a main tool in studying nonlinear problems for integral, ordinary differential and partial differential equations and systems. They are used to prove not only the existence of solutions, but also to localize solutions in a conical annulus or other domains of this type.From a theoretical point of view, two major approaches of the subject are known: the first one is in the framework of the fixed point theory and uses essentially Schauder's fixed point theorem and its generalizations, while the second approach uses topological degree t...