Solutions of Second-Order m-Point Boundary Value Problems for Impulsive Dynamic Equations on Time Scales
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study a general second-order m-point boundary value problems for nonlinear singular impulsive dynamic equations on time scales uΔ∇(t)+a(t)uΔ(t)+b(t)u(t)+q(t)f(t,u(t))=0,t∈(0,1),t≠tk,uΔ(tk+)=uΔ(tk)-Ik(u(tk)), and k=1,2,…,n,u(ρ(0))=0,u(σ(1))=∑i=1m-2αiu(ηi).
The existence and uniqueness of positive solutions are established by using the mixed monotone fixed point theorem on cone and Krasnosel’skii fixed point theorem.
In this paper, the function items may be singular in its dependent variable.
We present examples to illustrate our results.
American Psychological Association (APA)
Xu, Xue& Wang, Yong. 2014. Solutions of Second-Order m-Point Boundary Value Problems for Impulsive Dynamic Equations on Time Scales. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-504621
Modern Language Association (MLA)
Xu, Xue& Wang, Yong. Solutions of Second-Order m-Point Boundary Value Problems for Impulsive Dynamic Equations on Time Scales. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-504621
American Medical Association (AMA)
Xu, Xue& Wang, Yong. Solutions of Second-Order m-Point Boundary Value Problems for Impulsive Dynamic Equations on Time Scales. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-504621
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504621