A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order
Miroslav Laitoch (1978)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Displaying similar documents to “A remark on the differential equation ”
A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order
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By a general Franklin system corresponding to a dense sequence of knots 𝓣 = (tₙ, n ≥ 0) in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots 𝓣, that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is a characterization of sequences 𝓣 for which the corresponding general Franklin system is a basis or an unconditional basis in H¹[0,1].
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