Completeness and non-completeness results for the set of products of solutions to differential equations

Alexander G. Ramm,G Porru

Completeness and non-completeness results for the set of products of solutions to differential equations

1996

Alexander G. Ramm
G Porru

Two completeness results for the set of products of solutions of two homogeneous Sturm-Liouville differential equations are proved, and an example of non-completeness is given.

Keywords:

Mathematical optimization
Sturm–Liouville theory
Mathematical analysis
Differential equation
Sturm separation theorem
Homogeneous
Liouville's formula
Mathematics
Liouville's theorem (differential algebra)
Sturm–Picone comparison theorem
Discrete mathematics
Completeness (statistics)

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