General boundedness theorems to some second order nonlinear differential equation with integrable forcing term

Allan Kroopnick

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-2

Abstract:

In this note we present a boundedness theorem to the equation x ″ + c ( t , x , x ′ ) + a ( t ) b ( x ) = e ( t ) where e ( t ) is a continuous absolutely integrable function over the nonnegative real line. We then extend the result to the equation x ″ + c ( t , x , x ′ ) + a ( t , x ) = e ( t ) . The first theorem provides the motivation for the second theorem. Also, an example illustrating the theory is then given.

Date: 1995
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/18/143170.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/18/143170.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:jijmms:143170

DOI: 10.1155/S0161171295001050

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().