Abstract
We consider the contributions to the asymptotics of the function exp (T)ϕ, t→± ∞, caused by the spectral singularity of a nonselfadjoint Sturm-Liouville operator T in the space L2(0, ∞). The potential is assumed to decrease like a power of the variable, and the element ϕ belongs to the domain of definition of both the operator T and a certain extension of it to increasing functions.
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Literature cited
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E. V. Cheremnikh, “On boundary values of the resolvent on the continuous spectrum,”Differential Equations and their Applications. The Differential Equations Bulletin of L'viv Polytechnic Institute.
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 75–85.
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Cheremnikh, E.V. The asymptotics of some evolution equations. J Math Sci 96, 3003–3012 (1999). https://doi.org/10.1007/BF02169696
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DOI: https://doi.org/10.1007/BF02169696