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Lyapounov stability for impulsive dynamical systems
(2002-12-01)
This article addresses the problem of stability of impulsive control systems whose dynamics are given by measure driven differential inclusions. One important feature concerns the adopted solution which allows the consideration ...
A game theory approach to the existence and uniqueness of nonlinear Perron-Frobenius eigenvectors
We establish a generalized Perron-Frobenius theorem, based on a combinatorial criterion which entails the existence of an eigenvector for any nonlinear order-preserving and positively homogeneous map f acting on the open ...
A most misunderstood conditionally-solvable quantum-mechanical model
(Academic Press Inc Elsevier Science, 2021-11)
In this paper we show that several authors have derived wrong physical conclusions from a gross misunderstanding of the exact eigenvalues and eigenfunctions of a conditionally-solvable quantum-mechanical model. It consists ...
Comment on: “Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field” [J. Math. Phys. 56, 062107 (2015)]
(American Institute of Physics, 2021-01)
We analyze the results obtained for the quantum dynamics of a moving particle with a magnetic quadrupole moment interacting with electric and magnetic fields. We argue that there are no bound states contrary to what the ...
Comment on: Harmonic oscillator in an environment with a pointlike defect. (2019 Phys. Scr. 94 125301)
(IOP Publishing, 2021-02)
We analyze recent results for a harmonic oscillator in an environment with a pointlike defect. We show that the allowed oscillator frequencies predicted by the authors stem from a misinterpretation of the exact solutions ...
A decision method for the integrability of differential-algebraic Pfaffian systems
(Academic Press Inc Elsevier Science, 2016-01)
We prove an effective integrability criterion for differential-algebraic Pfaffian systems leading to a decision method of consistency with a triple exponential complexity bound. As a byproduct, we obtain an upper bound for ...
Comment on: "some quantum aspects of a particle with electric quadrupole moment interacting with an electric field subject to confining potentials"
(World Scientific, 2020-01)
We analyze the results obtained from a model consisting of the interaction between the electric quadrupole moment of a moving particle and an electric field. We argue that the system does not support bound states because ...