Rigorous asymptotics for a basis of y″ + g(x)y = 0, x ∈ [1,+∞), is derived in the framework of Banach algebras. The key assumption is f1+∞ xk||g(x)||dx < ∞ for k = 1 or k = 2. Such results improve and generalize previous work on linear second-order matrix differential equations. © 1993 American Mathematical Society.
Finite moments perturbations of y″ = 0 in banach algebras
VIANELLO, MARCO
1993
Abstract
Rigorous asymptotics for a basis of y″ + g(x)y = 0, x ∈ [1,+∞), is derived in the framework of Banach algebras. The key assumption is f1+∞ xk||g(x)||dx < ∞ for k = 1 or k = 2. Such results improve and generalize previous work on linear second-order matrix differential equations. © 1993 American Mathematical Society.
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