Petru Cojuhari, Jan Janas (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
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Sufficient conditions for the absence of absolutely continuous spectrum for unbounded Jacobi operators are given. A class of unbounded Jacobi operators with purely singular continuous spectrum is constructed as well.
Benoît Perthame, Stephane Génieys (2010)
Mathematical Modelling of Natural Phenomena
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The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence...
J.J. Modi, J.D. Pryce (1985)
Numerische Mathematik
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Joanne Dombrowski, Steen Pedersen (2002)
Studia Mathematica
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This paper initially considers a class of unbounded Jacobi matrices defined by an increasing sequence of repeated weights. Spectral parameters are then introduced in various ways to allow the authors to study the nature and location of the spectrum as a function of these parameters.
Boychev, Georgi (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 33C45, 40G05. In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi polynomials.