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Existence and Iteration of Positive Solutions to Third-Order BVP for a Class of p-Laplacian Dynamic Equations on Time Scales
Author
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We investigate the existence and iteration of positive solutions for the following third-order p-Laplacian dynamic equations on time scales: (ϕp(uΔΔ(t)))∇+q(t)f(t,u(t),uΔΔ(t))=0, t∈[a,b],αu(ρ(a))-βuΔ(ρ(a))=0, γu(b)+δuΔ(b)=0, uΔΔ(ρ(a))=0, where ϕp(s) is p-Laplacian operator; that is, ϕp(s)=sp-2s, p>1, ϕp-1=ϕq, and 1/p+1/q=1.
By applying the monotone iterative technique and without the assumption of the existence of lower and upper solutions, we not only obtain the existence of positive solutions for the problem, but also establish iterative schemes for approximating the solutions.
American Psychological Association (APA)
Rao, A. Kameswara. 2015. Existence and Iteration of Positive Solutions to Third-Order BVP for a Class of p-Laplacian Dynamic Equations on Time Scales. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1065511
Modern Language Association (MLA)
Rao, A. Kameswara. Existence and Iteration of Positive Solutions to Third-Order BVP for a Class of p-Laplacian Dynamic Equations on Time Scales. International Journal of Differential Equations No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1065511
American Medical Association (AMA)
Rao, A. Kameswara. Existence and Iteration of Positive Solutions to Third-Order BVP for a Class of p-Laplacian Dynamic Equations on Time Scales. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1065511
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065511