Existence Result for Impulsive Differential Equations with Integral Boundary Conditions
Joint Authors
Ning, Peipei
Huan, Qian
Ding, Wei
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We investigate the following differential equations: -(y[1](x))'+q(x)y(x)=λf(x,y(x)), with impulsive and integral boundary conditions -Δ(y[1](xi))=Ii(y(xi)), i=1,2,…,m, y(0)-ay[1](0)=∫0ωg0(s)y(s)ds, y(ω)-by[1](ω)=∫0ωg1(s)y(s)ds, where y[1](x)=p(x)y'(x).
The expression of Green's function and the existence of positive solution for the system are obtained.
Upper and lower bounds for positive solutions are also given.
When p(t), I(·), g0(s), and g1(s) take different values, the system can be simplified to some forms which has been studied in the works by Guo and LakshmiKantham (1988), Guo et al.
(1995), Boucherif (2009), He et al.
(2011), and Atici and Guseinov (2001).
Our discussion is based on the fixed point index theory in cones.
American Psychological Association (APA)
Ning, Peipei& Huan, Qian& Ding, Wei. 2013. Existence Result for Impulsive Differential Equations with Integral Boundary Conditions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-448393
Modern Language Association (MLA)
Ning, Peipei…[et al.]. Existence Result for Impulsive Differential Equations with Integral Boundary Conditions. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-448393
American Medical Association (AMA)
Ning, Peipei& Huan, Qian& Ding, Wei. Existence Result for Impulsive Differential Equations with Integral Boundary Conditions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-448393
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448393