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On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem

Name: On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem
Creator: M. Denche
Keywords: Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), General theory of ordinary differential operators, nonlocal problems, 833, 01 natural sciences, coerciveness estimate, boundary transmission conditions, completeness of root functions, Initial-boundary value problems for second-order parabolic equations, ordinary differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1998Publisher:WileyJournal:International Journal of Stochastic Analysis, volume 12, pages 279-291 (issn: 2090-3332, eissn: 2090-3340,

Authors: M. Denche;

doi: 10.1155/s104895339900026x

On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem

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Abstract

In the present paper we study nonlocal problems for ordinary differential equations with a discontinuous coefficient for the high order derivative. We establish sufficient conditions, known as regularity conditions, which guarantee the coerciveness for both the space variable and the spectral parameter, as well as guarantee the completeness of the system of root functions. The results obtained are then applied to the study of a nonlocal parabolic transmission problem.

Related Organizations

University of Mentouri
Algeria

Keywords

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), General theory of ordinary differential operators, nonlocal problems, 833, coerciveness estimate, boundary transmission conditions, completeness of root functions, Initial-boundary value problems for second-order parabolic equations, ordinary differential equations, Linear boundary value problems for ordinary differential equations, parabolic differential equation, elementary solutions

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