Existence and boundary behavior of positive solutions for a Sturm-Liouville problem

• Autorzy: Masmoudi S. , Zermani S.

Identyfikatory

DOI

10.7494/OpMath.2016.36.5.613

• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss existence, uniqueness and boundary behavior of a positive solution to the following nonlinear Sturm-Liouville problem [formula] where [formula], A is a positive differentiable function on (0,1) and a is a positive measurable function in (0,1) satisfying some appropriate assumptions related to the Karamata class. Our main result is obtained by means of fixed point methods combined with Karamata regular variation theory.

Słowa kluczowe

EN

nonlinear Sturm-Liouville problem; Green's functions; positive solutions; Karamata regular variation theory

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 5
• Strony: 613--629
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Masmoudi S.

• Departement de Mathematiques Faculte des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia

autor

Zermani S.

• Departement de Mathematiques Faculte des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.