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Tenth order boundary value problem solution existence by fixed point theorem

Nicola FabianoFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, VietnamNebojša NikolićFaculty of Organizational Sciences, University of Belgrade, Belgrade, SerbiaThenmozhi ShanmugamDepartment of Mathematics, Bharathidasan University, Tamilnadu, IndiaStojan RadenovićFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, VietnamNada ČitakovićMilitary Academy, Belgrade, Serbia
2020en
ABI

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Abstract In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation. Our theoretical approach generalizes, extends, complements, and enriches several results in the existing literature.

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