84 citations · 1.3k across the 190 of their papers we have counts for
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math-ph2010
Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the harmonic oscillator
H. C. Rosu, K. V. Khmelnytskaya
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…
math-ph2010
Bloch Solutions of Periodic Dirac Equations in SPPS Form
K. V. Khmelnytskaya, H. C. Rosu
We provide the representation of quasi-periodic solutions of periodic Dirac equations in terms of the spectral parameter power series (SPPS) recently introduced by V.V. Kravchenko…
math-ph2010★ 22 cited
Spectral parameter power series representation for Hill's discriminant
K. V. Khmelnytskaya, H. C. Rosu
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…