Reduction and continuation theorems for Brouwer degree and applications to nonlinear difference equations

• Autorzy: Mawhin J.
• Języki publikacji: EN

Abstrakty

EN

The aim of this note is to describe the continuation theorem of [39,40] directly in the context of Brouwer degree, providing in this way a simple frame for multiple applications to nonlinear difference equations, and to show how the corresponding reduction property can be seen as an extension of the well-known reduction formula of Leray and Schauder [24], which is fundamental for their construction of Leray-Schauder's degree in normed vector spaces.

Słowa kluczowe

EN

Brouwer degree; nonlinear difference equations

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 4
• Strony: 541--560
• Opis fizyczny: Bibliogr. 58 poz.

Twórcy

autor

Mawhin J.

• Université Catholique de Louvain, Département de mathématique chemin du cyclotron, 2 B-1348 Louvain-la-Neuve, Belgium,

Bibliografia

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