Geodesic
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This article concerns the existence and asymptotic behavior of solutions to a singularly perturbed second-order four-point boundary-value problem for nonlinear differential equations. Our analysis relies on the method of lower and upper solutions. We give accurate approximations of the solutions up to order $O(\epsilon)$.
Classification : 34K10, 34K26
Keywords: singular perturbation, four point boundary value problem, lower and upper solutions 
@article{EJDE_2011__2011__a69,
     author = {Vrabel, Robert},
     title = {A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a69/}
}
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Vrabel, Robert. A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations. Electronic Journal of Differential Equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a69/