Solvability Conditions and Green Functional Concept for Local and Nonlocal Linear Problems for a Second Order Ordinary Differential Equation

Seyidali S. Akhiev

doi:10.3390/mca9030349

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Article

1 December 2004

Solvability Conditions and Green Functional Concept for Local and Nonlocal Linear Problems for a Second Order Ordinary Differential Equation

Technical University of Istanbul, Faculty of Science, Maslak, 34469, Istanbul, Turkey

Math. Comput. Appl.2004, 9(3), 349-358;https://doi.org/10.3390/mca9030349

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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.

Keywords:

Adjoint problem; Green functional; nonlocal problem

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