Stieltjes Differential-Boundary Operators

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1973Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 41, page 80 (issn: 0002-9939,

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Authors: Krall, Allan M.;

doi: 10.2307/2038820 , 10.1090/s0002-9939-1973-0320415-3

Stieltjes Differential-Boundary Operators

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Abstract

The differential-boundary system S: Ly = (y + H(t)[Cy(O) + Dy(l)] + H(t)w)' + P(t)y. Ay(O) + By(1) + dK(t)y(t) = 0, dKi(t)y(t) = 0, is discussed when set in the space Y1[0, 1]. The density of the domain of L is discussed, and the adjoint or dual operator is derived. A discussion of selfadjoint systems follows. Necessary and sufficient conditions for T=(l/i)L to be selfadjoint in .2 [0, 1] are given.

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Pennsylvania State University
United States

Keywords

Linear boundary value problems for ordinary differential equations, General theory of ordinary differential operators

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