Publication: Solvability Conditions and Green Functional Concept for Local and Nonlocal Linear Problems for a Second Order Ordinary Differential Equation
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MDPI AG
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Abstract
A generally nonlocal problem is investigated for a class of second order differential equations with weak singularities. New adjoint problem and Green functional concepts are introduced for completely nonhomogeneous problem. The solvability conditions of the completely nonhomogeneous problem and corresponding adjoint problem are obtained in an alternative form.
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Mathematical and Computational Applications
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OPEN
Keywords
nonlocal problem, Green's functions for ordinary differential equations, Parameter dependent boundary value problems for ordinary differential equations, Green functional, Linear boundary value problems for ordinary differential equations, Green's function, Adjoint problem