Finite moments perturbations of $y”=0$ in Banach algebras
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- by Renato Spigler and Marco Vianello PDF
- Proc. Amer. Math. Soc. 119 (1993), 97-103 Request permission
Abstract:
Rigorous asymptotics for a basis of $y'' + g(x)y = 0,\;x \in [1, + \infty )$, is derived in the framework of Banach algebras. The key assumption is $\int _1^{ + \infty } {{x^k}} ||g(x)||dx < \infty$ for $k = 1$ or $k = 2$. Such results improve and generalize previous work on linear second-order matrix differential equations.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 97-103
- MSC: Primary 34G10; Secondary 34E05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1181175-2
- MathSciNet review: 1181175