On some nonlinear alternatives of Leray-Schauder type and functional integral equations
Archivum Mathematicum (2006)
- Volume: 042, Issue: 1, page 11-23
- ISSN: 0044-8753
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topDhage, Bapurao Chandra. "On some nonlinear alternatives of Leray-Schauder type and functional integral equations." Archivum Mathematicum 042.1 (2006): 11-23. <http://eudml.org/doc/249780>.
@article{Dhage2006,
abstract = {In this paper, some new fixed point theorems concerning the nonlinear alternative of Leray-Schauder type are proved in a Banach algebra. Applications are given to nonlinear functional integral equations in Banach algebras for proving the existence results. Our results of this paper complement the results that appear in Granas et. al. (Granas, A., Guenther, R. B. and Lee, J. W., Some existence principles in the Caratherodony theory of nonlinear differential system, J. Math. Pures Appl. 70 (1991), 153–196.) and Dhage and Regan (Dhage, B. C. and O’Regan, D., A fixed point theorem in Banach algebras with applications to functional integral equations, Funct. Differ. Equ. 7(3-4)(2000), 259–267.).},
author = {Dhage, Bapurao Chandra},
journal = {Archivum Mathematicum},
keywords = {Banach algebra; fixed point theorem; integral equations; Banach algebra; fixed point theorem; integral equation; functional differential equation; initial value problem},
language = {eng},
number = {1},
pages = {11-23},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On some nonlinear alternatives of Leray-Schauder type and functional integral equations},
url = {http://eudml.org/doc/249780},
volume = {042},
year = {2006},
}
TY - JOUR
AU - Dhage, Bapurao Chandra
TI - On some nonlinear alternatives of Leray-Schauder type and functional integral equations
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 1
SP - 11
EP - 23
AB - In this paper, some new fixed point theorems concerning the nonlinear alternative of Leray-Schauder type are proved in a Banach algebra. Applications are given to nonlinear functional integral equations in Banach algebras for proving the existence results. Our results of this paper complement the results that appear in Granas et. al. (Granas, A., Guenther, R. B. and Lee, J. W., Some existence principles in the Caratherodony theory of nonlinear differential system, J. Math. Pures Appl. 70 (1991), 153–196.) and Dhage and Regan (Dhage, B. C. and O’Regan, D., A fixed point theorem in Banach algebras with applications to functional integral equations, Funct. Differ. Equ. 7(3-4)(2000), 259–267.).
LA - eng
KW - Banach algebra; fixed point theorem; integral equations; Banach algebra; fixed point theorem; integral equation; functional differential equation; initial value problem
UR - http://eudml.org/doc/249780
ER -
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