Existence of Positive Solutions for Higher Order (p,q)-Laplacian Two-Point Boundary Value Problems
Joint Authors
Rajendrakumar, Kona
Kapula, Rajendra Prasad
Murali, Penugurthi
Source
International Journal of Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We derive sufficient conditions for the existence of positive solutions to higher order (p,q)-Laplacian two-point boundary value problem, (-1)m1+n1-1[ϕp(u(2m1)(t))](n1)=f1(t,u(t),v(t)), t∈[0,1], (-1)m2+n2-1[ϕq(v(m2)(t))](2n2)=f2(t,u(t),v(t)), t∈[0,1], u(2i)(0)=0=u(2i)(1), i=0,1,2,…,m1-1, [ϕp(u(2m1)(t))]at t=0(j)=0, j=0,1,…,n1-2; [ϕp(u(2m1)(1))]=0, [ϕq(v(m2)(t))]at t=0(2i)=0=[ϕq(v(m2)(t))]at t=1(2i), i=0,1,…,n2-1, v(j)(0)=0, j=0,1,2,…,m2-2, and v(1)=0, where f1,f2 are continuous functions from [0,1]×ℝ2 to [0,∞), m1,n1,m2,n2∈ℕ and 1/p+1/q=1.
We establish the existence of at least three positive solutions for the two-point coupled system by utilizing five-functional fixed point theorem.
And also, we demonstrate our result with an example.
American Psychological Association (APA)
Kapula, Rajendra Prasad& Murali, Penugurthi& Rajendrakumar, Kona. 2013. Existence of Positive Solutions for Higher Order (p,q)-Laplacian Two-Point Boundary Value Problems. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-495282
Modern Language Association (MLA)
Kapula, Rajendra Prasad…[et al.]. Existence of Positive Solutions for Higher Order (p,q)-Laplacian Two-Point Boundary Value Problems. International Journal of Differential Equations No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-495282
American Medical Association (AMA)
Kapula, Rajendra Prasad& Murali, Penugurthi& Rajendrakumar, Kona. Existence of Positive Solutions for Higher Order (p,q)-Laplacian Two-Point Boundary Value Problems. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-495282
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495282