Assia Frioui, Assia Guezane-Lakoud, Rabah Khaldi
Abstract:
The aim of this paper is the solvability of a class of higher order
differential equations with initial conditions and an integral boundary
condition on the half line. Using coincidence degree theory by Mawhin
and constructing suitable operators, we prove the existence of solutions
for the posed resonance boundary value problems.
Submitted October 20, 2015. Published January 19, 2016.
Math Subject Classifications: 34B40, 34B15.
Key Words: Boundary value problem at resonance; existence of solution;
coincidence degree; integral condition.
A corrected version was posted on March 4, 2016; see pages 1-10. The original version that has several mistakes is posted on pages 10-18.
Show me the PDF file (208 KB), TEX file for this article.
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Assia Frioui Laboratory of applied mathematics and modeling University 08 Mai 45-Guelma, P.O. Box 401 Guelma 24000, Algeria email: frioui.assia@yahoo.fr |
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Assia Guezane-Lakoud Laboratory of Advanced Materials, Faculty of Sciences University Badji Mokhtar-Annaba P.O. Box 12, 23000, Annaba, Algeria email: a_guezane@yahoo.fr |
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Rabah Khaldi Laboratory of Advanced Materials, Faculty of Sciences University Badji Mokhtar-Annaba, P.O. Box 12 23000, Annaba, Algeria email: rkhadi@yahoo.fr |
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