Linear differential equations in L2 with radial derivatives

Linear differential equations in L2 with radial derivatives

We obtain a solution of a linear differential equation with a radial derivative. The coefficients and the solution are functionals on L 2 [ a, b ]. In the same space, we study the properties of solutions of second-order linear homogeneous equations.

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Veröffentlicht in:Differential equations 2009-12, Vol.45 (10), p.1423
1. Verfasser: Repnikov, V. D.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Differential equations
Euclidean space
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
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Beschreibung
Zusammenfassung:We obtain a solution of a linear differential equation with a radial derivative. The coefficients and the solution are functionals on L 2 [ a, b ]. In the same space, we study the properties of solutions of second-order linear homogeneous equations.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266109100048