Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We establish a unilateral global bifurcation result from interval for a class of fourth-order problems with nondifferentiable nonlinearity.
By applying the above result, we firstly establish the spectrum for a class of half-linear fourth-order eigenvalue problems.
Moreover, we also investigate the existence of nodal solutions for the following half-linear fourth-order problems: x″″=αx++βx-+ratfx, 0
We give the intervals for the parameter r which ensure the existence of nodal solutions for the above fourth-order half-linear problems if f0∈[0,∞) or f∞∈[0,∞], where f0=lims→0f(s)/s and f∞=lims→+∞f(s)/s.
We use the unilateral global bifurcation techniques and the approximation of connected components to prove our main results.
American Psychological Association (APA)
Shen, Wenguo& He, Tao. 2016. Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1103506
Modern Language Association (MLA)
Shen, Wenguo& He, Tao. Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-15.
https://search.emarefa.net/detail/BIM-1103506
American Medical Association (AMA)
Shen, Wenguo& He, Tao. Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1103506
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103506