Critical scattering in a time-dependent harmonic oscillator
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124475
Abstract: Abstract Controlled time-decaying harmonic oscillator changes the threshold of decay order of the potential functions in order to exist the physical wave operators. This threshold was first reported by Ishida and Kawamoto [6] for the… read more here.
Keywords: time; case; harmonic oscillator; critical case ... See more keywords
Stability for a delayed switched nonlinear system of differential equations in a critical case
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Control"
DOI: 10.1080/00207179.2020.1862423
Abstract: In this paper the stability of an equilibrium of a feedback nonlinear system with time delay and structural switching is studied. The critical case of a zero root of the characteristic equations of... read more here.
Keywords: nonlinear system; critical case; stability delayed;
Rate of Convergence to the Disease Free Equilibrium for Multi-Population SIS Networks in the Critical Case
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2024.3392958
Abstract: A networked version of the Susceptible-Infected-Susceptible (SIS) deterministic epidemic model is studied. Existing results establish that convergence to an equilibrium occurs exponentially fast, except in the critical case, when the basic reproduction number is equal… read more here.
Keywords: sis; rate; critical case; equilibrium ... See more keywords
Limit-periodic solutions of integro-differential equations in a critical case
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DOI: 10.1134/s0012266117090099
Abstract: We consider equations with nonlinear terms representable by power series in the variable and functionals in integral form. The equation depends on a small exponentially limitperiodic perturbation, i.e., on a function that exponentially tends to… read more here.
Keywords: critical case; periodic solutions; limit periodic; differential equations ... See more keywords
On well-posedness for inhomogeneous Hartree equations in the critical case
Sign Up to like & getrecommendations! Published in 2022 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2023060
Abstract: We study the well-posedness for the inhomogeneous Hartree equation $i\partial_t u + \Delta u = \lambda(I_\alpha \ast |\cdot|^{-b}|u|^p)|x|^{-b}|u|^{p-2}u$ in $H^s$, $s\ge0$. Until recently, its well-posedness theory has been intensively studied, focusing on solving the problem… read more here.
Keywords: inhomogeneous hartree; hartree equations; critical case; case ... See more keywords