On the Solution of Boundary Value Problems for Ordinary Differential Equations of Order n and 2n with General Boundary Conditions

I. N. Parasidis (), E. Providas () and S. Zaoutsos ()
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I. N. Parasidis: University of Thessaly
E. Providas: University of Thessaly
S. Zaoutsos: University of Thessaly

A chapter in Computational Mathematics and Variational Analysis, 2020, pp 299-314 from Springer

Abstract: Abstract We present a method for examining the existence and uniqueness and obtaining the exact solution to boundary value problems consisting of the differential equation Au = f, where A is a linear ordinary differential operator of order n, and multipoint and integral boundary conditions. We also derive a formula for computing the exact solution to even order boundary value problems encompassing the differential equation A 2u = f subject to 2n general boundary conditions. The method is based on the correct extensions of operators in Banach spaces.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-44625-3_17

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DOI: 10.1007/978-3-030-44625-3_17

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