Multipoint focal boundary value problems on infinite intervals

S. Umamaheswaram and M. Venkata Rama

International Journal of Stochastic Analysis, 1992, vol. 5, 1-7

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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:592491

DOI: 10.1155/S1048953392000236

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