Multipoint focal boundary value problems on infinite intervals. (1992)

• Record Type: Journal Article
• Authors: Umamaheswaram, S.; Rama, M. Venkata
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 3(1992)
• Page Start: 283
• Page End: 289
• Publication Date: 1992
• Subjects: focal boundary value problems; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953392000236
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : For the differential equation y ( n ) = f ( x, y ), we state a set of necessary and sufficient conditions for the existence of a solution (i) on a semi-infinite interval for a k -point right focal boundary value problem and (ii) on ( − ∞, ∞ ) for a ( n − 1 ) -point right focal boundary value problem. The conditions are in terms of the existence of a pair of solutions u ( x ), v ( x ) satisfying some auxiliary boundary conditions and algebraic inequatilities.