Involve: A Journal of Mathematics

  • Involve
  • Volume 1, Number 1 (2008), 1-7.

Five-point boundary value problems for $n$-th order differential equations by solution matching

Johnny Henderson, John Ehrke, and Curtis Kunkel

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Abstract

For the ordinary differential equation

y ( n ) = f ( x , y , y , y , , y ( n 1 ) ) , n 3 ,

solutions of three-point boundary value problems on [a,b] are matched with solutions of three-point boundary value problems on [b,c] to obtain solutions satisfying five-point boundary conditions on [a,c].

Article information

Source
Involve, Volume 1, Number 1 (2008), 1-7.

Dates
Received: 2 April 2007
Accepted: 27 October 2007
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.involve/1513799066

Digital Object Identifier
doi:10.2140/involve.2008.1.1

Mathematical Reviews number (MathSciNet)
MR2403062

Zentralblatt MATH identifier
1156.34303

Subjects
Primary: 34B15: Nonlinear boundary value problems
Secondary: 34B10: Nonlocal and multipoint boundary value problems

Keywords
boundary value problem ordinary differential equation solution matching

Citation

Henderson, Johnny; Ehrke, John; Kunkel, Curtis. Five-point boundary value problems for $n$-th order differential equations by solution matching. Involve 1 (2008), no. 1, 1--7. doi:10.2140/involve.2008.1.1. https://projecteuclid.org/euclid.involve/1513799066


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