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Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the classical harmonic oscillator
(Elsevier, 2011)
"We determine the kind of parametric oscillators that are generated in the usual factorization procedure of second-order linear differential equations when one introduces a constant shift of the Riccati solution of the ...
Periodic Sturm-Liouville problems related to two Riccati equations of constant coefficients
(Elsevier, 2010)
"We consider two closely related Riccati equations of constant parameters whose particular solutions are used to construct the corresponding class of supersymmetrically-coupled second-order differential equations. We solve ...
Shifted riccati procedure: application to conformal barotropic FRW cosmologies
(2011)
"In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework of nonrelativistic ...
An amplitude-phase (Ermako-Lewis) approach for the Jackiw-Pi model of bilayer graphene
(2009)
"In the context of bilayer graphene we use the simple gauge model of Jackiw and Pi to construct its numerical solutions in powers of the bias poten-tial V according to a general scheme due to Kravchenko. Next, using this ...
Spectral parameter power series representation for Hill´s discriminant
(Elsevier, 2010)
"We establish a series representation of the Hill discriminant based on the spectral parameter power series (SPPS) recently introduced by V. Kravchenko. We also show the invariance of the Hill discriminant under a Darboux ...
Inhomogeneous barotropic FRW cosmologies with constant-shifted conformal hubble parameters
(2013)
"It is known that the barotropic FRW system of differential equations for zero cosmological constant can be reduced to simple harmonic oscillator (HO) differential equations in the conformal time variable. This is due to ...