Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem
Introduction/purpose: This paper illustrates the existence of a generic Green’s function for a boundary value problem of arbitrary order that appears in many phenomena of heat convection, e.g. in the atmosphere, in the oceans, and on the Sun’s surface. Methods: A fixed point theorem in the Leray...
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| Autores principales: | , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
University of Defence in Belgrade
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/845c175b1ccc4dc28112fcbda83197ca |
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| Sumario: | Introduction/purpose: This paper illustrates the existence of a generic Green’s
function for a boundary value problem of arbitrary order that appears in many
phenomena of heat convection, e.g. in the atmosphere, in the oceans, and on
the Sun’s surface.
Methods: A fixed point theorem in the Leray–Schauder form has been used to
establish the existence of a fixed point in the problem.
Results: The existence of a solution has been shown for an arbitrary order of the
problem. Some practical examples are proposed.
Conclusions: The boundary problem has a solution for an arbitrary order n.
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