Direct and inverse theorems on approximation by root functions of a regular boundary-value problem

One considers the spectral problem x{sup (n)}+ Fx={lambda}x with boundary conditions U{sub j}(x)=0, j=1,...,n, for functions x on [0,1]. It is assumed that F is a linear bounded operator from the Hoelder space C{sup {gamma}}, {gamma} element of [0,n-1), into L{sub 1} and the U{sub j} are bounded lin...

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Veröffentlicht in:	Sbornik. Mathematics 2006-08, Vol.197 (7)
1. Verfasser:	Radzievskii, G V
Format:	Artikel
Sprache:	eng
Schlagworte:	APPROXIMATIONS BOUNDARY CONDITIONS BOUNDARY-VALUE PROBLEMS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS EIGENVALUES FUNCTIONALS MATHEMATICAL SPACE PERIODICITY
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