Existence and oscillation theorem for a certain boundary value problem

George D. Birkhoff

Type: Article

Publication Date: 1909-01-01

Citations: 23

DOI: https://doi.org/10.1090/s0002-9947-1909-1500837-0

Abstract

(4) ao8'(a) + aO8(a)-O eXlqb (b) + Blu(b) = ° t MASON :I: hals proved the existence of an infinite number of values of X furnishing a solution, when q(w, X ) has the form kA (Z)-g ( z ), and has given also an oscillation theorem for the special conditions (5) t(a) = u(b) u'(a) = u'(b). BOCHER § employing other methods has removed MASON'S restriction on *Presented to the Society (Chicago), January 1, 1908. tLiouville's Journal, ser. 1, vol. 1 (1836), pp. 106-186. His linear differential equation appears in a more general form. tThese Transactions, vol. 7 (1906), pp. 337-360. §Comptes Rendus, vol. 140 (1905), p. 928. 259

Locations

Transactions of the American Mathematical Society - View - PDF

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