On the Solution of Boundary Value Problems for Loaded Ordinary Differential Equations

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

A chapter in Mathematical Analysis in Interdisciplinary Research, 2021, pp 641-659 from Springer

Abstract: Abstract This chapter is devoted to the solution of the so-called loaded ordinary differential equations which arise in applications in sciences and engineering. We propose a direct operator method for examining existence and uniqueness and constructing the solution in closed form to a class of boundary value problems for loaded nth-order ordinary differential equations with multipoint and integral boundary conditions.

Keywords: Ordinary differential equations; Loaded equations; Differential-boundary operators; Nonlocal boundary conditions; Multipoint conditions; Integral conditions; Exact solutions; 34B10; 34L40 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84721-0_29

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DOI: 10.1007/978-3-030-84721-0_29

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