Lidstone–Euler Second-Type Boundary Value Problems: Theoretical and Computational Tools

General nonlinear high odd-order differential equations with Lidstone–Euler boundary conditions of second type are treated both theoretically and computationally. First, the associated interpolation problem is considered. Then, a theorem of existence and uniqueness of the solution to the Lidstone–Eu...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2021-10, Vol.18 (5), Article 180
Main Authors: Costabile, Francesco Aldo, Gualtieri, Maria Italia, Napoli, Anna
Format: Article
Language:English
Subjects:
Algorithms
Boundary conditions
Boundary value problems
Differential equations
Existence theorems
Interpolation
Mathematics
Mathematics and Statistics
Software
Uniqueness theorems
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Summary:General nonlinear high odd-order differential equations with Lidstone–Euler boundary conditions of second type are treated both theoretically and computationally. First, the associated interpolation problem is considered. Then, a theorem of existence and uniqueness of the solution to the Lidstone–Euler second-type boundary value problem is given. Finally, for a numerical solution, two different approaches are illustrated and some numerical examples are included to demonstrate the validity and applicability of the proposed algorithms.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01822-5