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- A. Hernández-Almada3 profiles25 · h 57
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10 papers · 1 filter
Perturbations of the Landau Hamiltonian: Asymptotics of eigenvalue clusters
G. Hernandez-Duenas, S. Pérez-Esteva, A. Uribe +1
We consider the asymptotic behavior of the spectrum of the Landau Hamiltonian plus a rapidly decaying potential, as the magnetic field strength, , tends to infinity. After a sui…
Extension of a factorization method of nonlinear second order ODE's with variable coefficients
H. C. Rosu, O. Cornejo-Perez, M. Perez-Maldonado +1
The factorization of nonlinear second-order differential equations proposed by Rosu and Cornejo-Perez in 2005 is extended to equations containing quadratic and cubic forms in the f…
Non-Archimedean Reaction-Ultradiffusion Equations and Complex Hierarchic Systems
W. A. Zúñiga-Galindo
We initiate the study of non-Archimedean reaction-ultradiffusion equations and their connections with models of complex hierarchic systems. From a mathematical perspective, the equ…
Spectral parameter power series method for discontinuous coefficients
Herminio Blancarte, Hugo M. Campos, Kira V. Khmelnytskaya
Let (a,b) be a finite interval and 1/p, q, r be functions from L1(a,b). We show that a general solution (in the weak sense) of the equation (pu')'+qu = zru on (a,b) can be construc…
Nonsingular parametric oscillators Darboux-related to the classical harmonic oscillator
H. C. Rosu, O. Cornejo-Perez, P. Chen
Interesting nonsingular parametric oscillators which are Darboux related to the classical harmonic oscillator and have periodic dissipative/gain features are identified through a m…
Eigenvalue problems, spectral parameter power series, and modern applications
K. V. Khmelnytskaya, V. V. Kravchenko, H. C. Rosu
In the present review we deal with the recently introduced method of spectral parameter power series (SPPS) and show how its application leads to an explicit form of the characteri…