A Representative Solution to m-Order Linear Ordinary Differential Equation with Non local Conditions by Green's Functional Concept

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Küçük Resim

Tarih

2012

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Yayıncı

Vilnius Gediminas Tech Univ

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this work, we investigate a linear completely nonhomogeneous nonlocal multipoint problem for an m-order ordinary differential equation with generally variable nonsmooth coefficients satisfying some general properties such as p-integrability and boundedness. A system of m + 1 integro-algebraic equations called the special adjoint system is constructed for this problem. Green's functional is a solution of this special adjoint system. Its first component corresponds to Green's function for the problem. The other components correspond to the unit effects of the conditions. A solution to the problem is an integral representation which is based on using this new Green's functional. Some illustrative implementations and comparisons are provided with some known results in order to demonstrate the advantages of the proposed approach.

Açıklama

Anahtar Kelimeler

Green's function, nonlocal boundary condition, nonlocal integral condition, boundary value problem, adjoint problem, Additional Conditions, Formulas

Kaynak

Mathematical Modelling and Analysis

WoS Q Değeri

Q2

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Cilt

17

Sayı

4

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