A multiplicity result for a generalized Sturm-Liouville problem on time scales

By applying the fixed point theorem in cones, a new and general result on the existence of positive solutions to second-order generalized Sturm-Liouville boundary value problem on a time scale is obtained. The first order Δ-derivative is involved in the nonlinear term f explicitly.

Saved in:
Bibliographic Details
Published inJournal of difference equations and applications Vol. 16; no. 8; pp. 963 - 974
Main Author Zhang, Youwei
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.08.2010
Taylor & Francis Ltd
Subjects
Boundary value problems
Calculus
cone
Cones
Difference equations
Differential equations
Existence theorems
fixed point
Mathematical analysis
Mathematical problems
Nonlinearity
positive solution
Sturm-Liouville problem
Theorems
time scales
Online AccessGet full text

Cover

More Information
Summary:By applying the fixed point theorem in cones, a new and general result on the existence of positive solutions to second-order generalized Sturm-Liouville boundary value problem on a time scale is obtained. The first order Δ-derivative is involved in the nonlinear term f explicitly.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190802660476