Multiple Positive Solutions for the Dirichlet Boundary Value Problems by Phase Plane Analysis
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-18
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider boundary value problems for scalar differential equation x′′+λfx=0, x(0)=0, x(1)=0, where f(x) is a seventh-degree polynomial and λ is a parameter.
We use the phase plane method combined with evaluations of time-map functions and make conclusions on the number of positive solutions.
Bifurcation diagrams are constructed and examples are considered illustrating the bifurcation processes.
American Psychological Association (APA)
Kirichuka, A.& Sadyrbaev, Felix. 2015. Multiple Positive Solutions for the Dirichlet Boundary Value Problems by Phase Plane Analysis. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1052013
Modern Language Association (MLA)
Kirichuka, A.& Sadyrbaev, Felix. Multiple Positive Solutions for the Dirichlet Boundary Value Problems by Phase Plane Analysis. Abstract and Applied Analysis No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1052013
American Medical Association (AMA)
Kirichuka, A.& Sadyrbaev, Felix. Multiple Positive Solutions for the Dirichlet Boundary Value Problems by Phase Plane Analysis. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1052013
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052013