Positive solutions for a class of nonresonant boundary-value problems
Date
2007-01-27
Authors
Zhang, Xuemei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
This paper concerns the existence and multiplicity of positive solutions to the nonresonant second-order boundary-value problem
Lx = λw(t)ƒ(t, x).
We are interested in the operator Lx := -x″ + ρqx when w is in Lp for 1 ≤ p ≤ +∞. Our arguments are based on fixed point theorems in a cone and Hölder's inequality. The nonexistence of positive solutions is also studied.
Description
Keywords
Positive solution, Fixed point theorem, Existence, Complete continuity
Citation
Zhang, X. (2007). Positive solutions for a class of nonresonant boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(20), pp. 1-10.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.