Results 11 to 20 of about 8,901 (104)
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions [PDF]
Journal of Differential EquationsH. Bustos, Pablo Figueroa, Manuel Pinto
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Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment. [PDF]
Comput Math Methods Med, 2017 In this paper a mosquito‐borne parasitic infection model in periodic environment is considered. Threshold parameter R0 is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that when R0 < 1, the disease‐free periodic solution is globally asymptotically stable and when R0 > 1 by Poincaré map we obtain ...
Cheng Y, Wang X, Pan Q, He M.
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The Perron Method Associated with Finely p-harmonic Functions on Finely Open Sets [PDF]
Potential Analysis, 2022 Given a bounded finely open set V and a function f on the fine boundary of V, we introduce four types of upper Perron solutions to the nonlinear Dirichlet problem for p-energy minimizers ...
Anders Björn, Jana Björn, Visa Latvala
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Condenser capacities and capacitary potentials for unbounded sets, and global p-harmonic Green functions on metric spaces [PDF]
Communications in Partial Differential Equations, 2023 . We study the condenser capacity capp(E, Ω) on unbounded open sets Ω in a proper connected metric space X equipped with a locally doubling measure supporting a local p-Poincaré inequality, where ...
Anders Björn, Jana Björn
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The Perron method for $$\varvec{p}$$p-harmonic functions in unbounded sets in $$\mathbf {R}^n$$Rn and metric spaces [PDF]
Mathematische Zeitschrift, 2015 The Perron method for solving the Dirichlet problem for $$p$$p-harmonic functions is extended to unbounded open sets in the setting of a complete metric space with a doubling measure supporting a $$p$$p-Poincaré inequality ...
Daniel Hansevi
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GAMM-Mitteilungen, Volume 46, Issue 2, June 2023., 2023 Summary The determination of stationary solutions of dynamical systems as well as analyzing their stability is of high relevance in science and engineering. For static and periodic solutions a lot of methods are available to find stationary motions and analyze their stability.
Hartmut Hetzler, Simon Bäuerle
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Spectral Determinant of the Two‐Photon Quantum Rabi Model
Annalen der Physik, Volume 535, Issue 3, March 2023., 2023 The determination of the exact spectrum of quantum systems with a single continuous degree of freedom is only possible in very few cases, because polynomial ansatz functions do not exist. Here it is demonstrated that the Bargmann Hilbert space allows the computation of the spectral determinant of the quantum Rabi model with non‐linear (two‐photon ...
Daniel Braak
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Limit laws for rational continued fractions and value distribution of quantum modular forms
Proceedings of the London Mathematical Society, Volume 125, Issue 6, Page 1377-1425, December 2022., 2022 Abstract We study the limiting distributions of Birkhoff sums of a large class of cost functions (observables) evaluated along orbits, under the Gauss map, of rational numbers in (0, 1] ordered by denominators. We show convergence to a stable law in a general setting, by proving an estimate with power‐saving error term for the associated characteristic
Sandro Bettin, Sary Drappeau
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Solutions of the Multivariate Inverse Frobenius–Perron Problem [PDF]
Entropy, 2021 We address the inverse Frobenius–Perron problem: given a prescribed target distribution ρ, find a deterministic map M such that iterations of M tend to ρ in distribution. We show that all solutions may be written in terms of a factorization that combines
C. Fox, L.-J. Hsiao, Jeong-Eun Lee
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