Positive solutions for the Φ-Laplacian when Φ is a sup - multiplicative - like function
Date
2004-05-04
Authors
Karakostas, George L.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We provide sufficient conditions for the existence of positive solutions of a boundary-value problem for a one dimensional Φ-Laplacian ordinary differential equation with deviating arguments, where Φ is a sup-multiplicative-like function (in a sense introduced here) and the boundary conditions include nonlinear expressions at the end points. For this end, we use the Krasnoselskii fixed point theorem in a cone. The results obtained improve and generalize known results in [17] and elsewhere.
Description
Keywords
Boundary value problems, Positive solutions, Krasnoselskii's fixed point theorem
Citation
Karakostas, G. L. (2004). Positive solutions for the Φ-Laplacian when Φ is a sup - multiplicative - like function. <i>Electronic Journal of Differential Equations, 2004</i>(68), pp. 1-12.
Rights
Attribution 4.0 International