In this paper, we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine cones. This approach is fairly general and covers a class of nonlocal boundary value problems for functional differential equations. Some examples are given in order to illustrate our theoretical results.
Nontrivial solutions of boundary value problems for second-order functional differential equations / Calamai, A; Infante, Gennaro. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 195:3(2016), pp. 741-756.
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Titolo: | Nontrivial solutions of boundary value problems for second-order functional differential equations |
Autori: | |
Data di pubblicazione: | 2016 |
Rivista: | |
Citazione: | Nontrivial solutions of boundary value problems for second-order functional differential equations / Calamai, A; Infante, Gennaro. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 195:3(2016), pp. 741-756. |
Handle: | http://hdl.handle.net/20.500.11770/132857 |
Appare nelle tipologie: | 1.1 Articolo in rivista |