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Integrability of certain solutions of differential equations (1976)

Lee, Sung J.

Springer

Periodica mathematica Hungarica 7 (1976), S. 233-237

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ISSN: 1588-2829

Keywords: Primary 34-00 ; 34A30 ; 47B25 ; Fundamental solutions ; self-adjoint operators ; resolvents ; adjoint solutions

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Let L=Po(d/dt)n+P1(d/dt)n−1+...+Pn denote a formally self-adjoint differential expression on an open intervalI=(a, b) (−∞≦a〈b≦∞). Here the Pk are complex valued with (n — k) continuous derivatives onI, and P0(t)≠ 0 onI. We discuss integrability of functions which are adjoint to certain fundamental solutions ofLy=λy, and a related consequence.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02017941

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