Existence of Solutions of Nonlinear Mixed Two-Point Boundary Value Problems for Third-Order Nonlinear Differential Equation

Yongxin Gao and Fengqin Wang

Journal of Applied Mathematics, 2012, vol. 2012, 1-12

Abstract:

The authors use the upper and lower solution method to study the existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation y ′′′ = f ( x , y , y ′ , y ′′ ) , y ′ ( b ) = h ( y ′ ( a ) ) , p ( y ( a ) , y ( b ) , y ′ ( a ) , y ′ ( b ) ) = 0 , g ( y ( a ) , y ( b ) , y ′ ( a ) , y ′ ( b ) , y ′′ ( a ) , y ′′ ( b ) ) = 0 . Some new existence results are obtained by developing the upper and lower solution method. Some applications are also presented.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2012/262139.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2012/262139.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:262139

DOI: 10.1155/2012/262139

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().