A composite coincidence degree with applications to boundary value problems of neutral equations

Erbe, L. H.; Krawcewicz, W.; Wu, J. H.

doi:10.1090/S0002-9947-1993-1169080-3

A composite coincidence degree with applications to boundary value problems of neutral equations
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by L. H. Erbe, W. Krawcewicz and J. H. Wu

Trans. Amer. Math. Soc. 335 (1993), 459-478

DOI: https://doi.org/10.1090/S0002-9947-1993-1169080-3

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Abstract:

We present a topological degree theory for the nonlinear problem $L(I - B)(x) = G(x)$ with applications to a class of boundary value problems of neutral equations, where $L$ is an unbounded Fredholm operator of index zero, $B$ is condensing and $G$ is $L$-compact.

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