Solvability of a Second Order Boundary Value Problem. Nacira Hamidane1*, Assia Guezane-Lakoud2 1Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar –Annaba-University
, Annaba, Algeria 2Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar –Annaba-University
, Annaba, Algeria
IEEE N. Hamidane, A. Guezane-Lakoud, "Solvability of a Second Order Boundary Value Problem.", SETSCI Conference Proceedings, vol. 2, pp. 201-201, 2018.
BibTeX
@INPROCEEDINGS{citation,
author = {Hamidane, Nacira and Guezane-Lakoud, Assia},
title = {Solvability of a Second Order Boundary Value Problem.},
year = {2018},
volume = {2},
pages = {201-201},
publisher = {SETSCI Conference Proceedings},
abstract = {The study of nonlinear boundary value problems is a very important and difficult area of research in differential equations. The aim of our work is to establish the existence of solutions for a second order boundary value problem which models different real situations especially in physics and mechanics. Our approach consists to modify the given problem and prove the existence results of the modified one which are equivalent, using fixed point theory combined with the lower and upper solutions method. We need also to introduce the Nagumo condition to get bounds of the first derivative because the term of nonlinearity depends on it.
},
doi = {},
}
RIS
TY - CONF
AU - Hamidane, Nacira
AU - Guezane-Lakoud, Assia
TI - Solvability of a Second Order Boundary Value Problem.
PY - 2018
PB - SETSCI Conference Proceedings
VL - 2
AB - The study of nonlinear boundary value problems is a very important and difficult area of research in differential equations. The aim of our work is to establish the existence of solutions for a second order boundary value problem which models different real situations especially in physics and mechanics. Our approach consists to modify the given problem and prove the existence results of the modified one which are equivalent, using fixed point theory combined with the lower and upper solutions method. We need also to introduce the Nagumo condition to get bounds of the first derivative because the term of nonlinearity depends on it.
DO -
ER -
EndNote
%0 Book
%A Hamidane, Nacira
%A Guezane-Lakoud, Assia
%T Solvability of a Second Order Boundary Value Problem.
%D 2018
%I {SETSCI Conference Proceedings}
%J {SETSCI Conference Proceedings}
%V 2
%P 201-201
%D 2018
%M doi:
Open Access
Solvability of a Second Order Boundary Value Problem.
Nacira Hamidane1*, Assia Guezane-Lakoud2 1Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar –Annaba-University
, Annaba, Algeria 2Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar –Annaba-University
, Annaba, Algeria * Corresponding author: nhamidane@yahoo.com
The study of nonlinear boundary value problems is a very important and difficult area of research in differential equations. The aim of our work is to establish the existence of solutions for a second order boundary value problem which models different real situations especially in physics and mechanics. Our approach consists to modify the given problem and prove the existence results of the modified one which are equivalent, using fixed point theory combined with the lower and upper solutions method. We need also to introduce the Nagumo condition to get bounds of the first derivative because the term of nonlinearity depends on it.
Keywords - Boundary value problem. Existence of solutions. Fixed point theorem
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
