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BIBTEX RIS

On the existence of sulutions of the equation Lx ∞ Nx and a coincidence degree theory

1979; Cambridge University Press; Volume: 28; Issue: 2 Linguagem: Inglês

10.1017/s1446788700015640

ISSN

1446-8107

Autores

E Tarafdar, Suat Khoh Teo,

Tópico(s)

Nonlinear Differential Equations Analysis

Resumo

The coincidence degree for the pair ( L, N ) developed by Mawhin (1972) provides a method for proving the existence of solutions of the equation Lx = Nx where L : dom L ⊂ X → Z is a linear Fredholm mapping of index zero and is a (possiblv nonlinear) mapping and Ω is a bounded open subset of X, X and Z being normed linear spaces over the reals. In this paper we have extended the coincidence degree for the pair ( L, N ) to solve the equation , where L : dom L ⊂ X → Z is a linear Fredholm mapping of index zero, and X, Z and Ω are as above, CK(Z) being the set of compact convex subsets of Z . Subject classification (Amer. Math. Soc. (MOS) 1970) : primary 47 H 15, 47 A 50; secondary 47 H 10, 47 A 55.

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