Habib Maagli, Ramzi Alsaedi, Noureddine Zeddini
Abstract:
In this article, we give an exact behavior at infinity of the unique
solution to the following singular boundary value problem
Here A is a nonnegative continuous function on
, positive
and differentiable on
such that
is non-increasing on
with
and the function q
is a nonnegative continuous, satisfying
where
,
,
and y is continuous on
such that
.
Submitted December 8, 2015. Published February 17, 2016.
Math Subject Classifications: 34B16, 34B18, 34D05.
Key Words: Singular nonlinear boundary value problems; positive solution;
exact asymptotic behavior; Karamata regular variation theory.
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Habib Mâagli Department of Mathematics, College of Sciences and Arts King Abdulaziz University, Rabigh Campus P.O. Box 344, Rabigh 21911, Saudi Arabia email: habib.maagli@fst.rnu.tn | |
Ramzi Alsaedi Department of Mathematics Faculty of Sciences, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia email: ramzialsaedi@yahoo.co.uk | |
Noureddine Zeddini Department of Mathematics, College of Sciences and Arts King Abdulaziz University, Rabigh Campus P.O. Box 344, Rabigh 21911, Saudi Arabia email: noureddine.zeddini@ipein.rnu.tn |
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