Positive Solutions for Second-Order Nonlinear Ordinary Differential Systems with Two Parameters
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
By using fixed-point theorem and under suitable conditions, we investigate the existence and multiplicity positive solutions to the following systems: u′′(t)+au(t)+bv(t)+ λh1(t)f(u(t),v(t))=0, t∈[0,1], v′′(t)+cu(t)+dv(t)+μh2(t)g(u(t),v(t))=0, t∈[0,1], u(0)=u(1)=0, v(0)=v(1)=0, where a,b,c,d are four positive constants and λ>0, μ>0, f(u,v),g(u,v)∈C(R+×R+,R+) and h1,h2∈C([0,1],R+).
We derive two explicit intervals of λ and μ, such that the existence and multiplicity of positive solutions for the systems is guaranteed.
American Psychological Association (APA)
Sun, Lan& An, Yukun& Jiang, Min. 2011. Positive Solutions for Second-Order Nonlinear Ordinary Differential Systems with Two Parameters. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-485071
Modern Language Association (MLA)
Sun, Lan…[et al.]. Positive Solutions for Second-Order Nonlinear Ordinary Differential Systems with Two Parameters. ISRN Applied Mathematics No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-485071
American Medical Association (AMA)
Sun, Lan& An, Yukun& Jiang, Min. Positive Solutions for Second-Order Nonlinear Ordinary Differential Systems with Two Parameters. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-485071
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485071