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.
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Parasidis, I.N., Providas, E., Zaoutsos, S. (2020). On the Solution of Boundary Value Problems for Ordinary Differential Equations of Order n and 2n with General Boundary Conditions. In: Daras, N., Rassias, T. (eds) Computational Mathematics and Variational Analysis. Springer Optimization and Its Applications, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-030-44625-3_17
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DOI: https://doi.org/10.1007/978-3-030-44625-3_17
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