Perturbed Hammerstein integral inclusions with solutions that change sign

Gennaro Infante; Paolamaria Pietramala

Commentationes Mathematicae Universitatis Carolinae (2009)

  • Volume: 50, Issue: 4, page 591-605
  • ISSN: 0010-2628

Abstract

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We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of [ 0 , 1 ] . We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.

How to cite

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Infante, Gennaro, and Pietramala, Paolamaria. "Perturbed Hammerstein integral inclusions with solutions that change sign." Commentationes Mathematicae Universitatis Carolinae 50.4 (2009): 591-605. <http://eudml.org/doc/35133>.

@article{Infante2009,
abstract = {We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of $[0,1]$. We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.},
author = {Infante, Gennaro, Pietramala, Paolamaria},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point index; cone; nontrivial solution; fixed point index; cone; nontrivial solution; integral inclusions of Hammerstein; multivalued mappings},
language = {eng},
number = {4},
pages = {591-605},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Perturbed Hammerstein integral inclusions with solutions that change sign},
url = {http://eudml.org/doc/35133},
volume = {50},
year = {2009},
}

TY - JOUR
AU - Infante, Gennaro
AU - Pietramala, Paolamaria
TI - Perturbed Hammerstein integral inclusions with solutions that change sign
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 4
SP - 591
EP - 605
AB - We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of $[0,1]$. We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.
LA - eng
KW - fixed point index; cone; nontrivial solution; fixed point index; cone; nontrivial solution; integral inclusions of Hammerstein; multivalued mappings
UR - http://eudml.org/doc/35133
ER -

References

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