Some generalizations of the first Fredholm theorem to Hammerstein equations and the number of solutions
نویسنده
چکیده
We prove some generalizations of the first Fredholm theorem for Hammerstein operator equations in Banach spaces and study the number of their solutions using a projection like method.The linear part is assumed to be either selfadjoint or nonseladjoint while the nonlinearities are such that the corresponding map is (pseudo) A-proper. In particular, the nonlinearities can be either of monotone type, or of type (S+), or condensing, or the sum of such maps.
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