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

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
Accepted: 27 October 2007
First available in Project Euclid: 20 December 2017

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

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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