Results 31 to 40 of about 8,901 (104)
A precise asymptotic description of half‐linear differential equations
Mathematische Nachrichten, Volume 297, Issue 4, Page 1275-1309, April 2024.Abstract We study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
Pavel Řehák
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Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A two‐patch model, SEi1 … EinIiLi, i = 1,2, is used to analyze the spread of tuberculosis, with an arbitrary number n of latently infected compartments in each patch. A fraction of infectious individuals that begun their treatment will not return to the hospital for the examination of sputum.
Abdias Laohombé +6 more
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On the Conjecture of Lehmer, Limit Mahler Measure of Trinomials and Asymptotic Expansions
, 2016 Let n ≥ 2 be an integer and denote by θn the real root in (0, 1) of the trinomial Gn(X) = −1 + X + Xn. The sequence of Perron numbers (θn−1)n≥2 $(\theta _n^{ - 1} )_{n \ge 2} $ tends to 1. We prove that the Conjecture of Lehmer is true for {θn−1|n≥2} $\{
J. Verger-Gaugry
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Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 221-283, January 2024.Abstract Koopman operators are infinite‐dimensional operators that globally linearize nonlinear dynamical systems, making their spectral information valuable for understanding dynamics. However, Koopman operators can have continuous spectra and infinite‐dimensional invariant subspaces, making computing their spectral information a considerable ...
Matthew J. Colbrook, Alex Townsend
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Threshold Dynamics of a Huanglongbing Model with Logistic Growth in Periodic Environments
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We analyze the impact of seasonal activity of psyllid on the dynamics of Huanglongbing (HLB) infection. A new model about HLB transmission with Logistic growth in psyllid insect vectors and periodic coefficients has been investigated. It is shown that the global dynamics are determined by the basic reproduction number R0 which is defined through the ...
Jianping Wang +4 more
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Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. We first employ the nonuniform kinematic similarity to prove the nonuniform dichotomy spectrum theorem, which is not based on linear integral manifolds in most of the previous works.
Ning Song, Richard I. Avery
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Global Behavior of Four Competitive Rational Systems of Difference Equations in the Plane
Discrete Dynamics in Nature and Society, Volume 2009, Issue 1, 2009., 2009 We investigate the global dynamics of solutions of four distinct competitive rational systems of difference equations in the plane. We show that the basins of attractions of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or nonhyperbolic equilibrium points.
M. Garić-Demirović +3 more
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Spectral Theory from the Second‐Order q‐Difference Operator
International Journal of Mathematics and Mathematical Sciences, Volume 2007, Issue 1, 2007., 2007 Spectral theory from the second‐order q‐difference operator Δq is developed. We give an integral representation of its inverse, and the resolvent operator is obtained. As application, we give an analogue of the Poincare inequality. We introduce the Zeta function for the operator Δq and we formulate some of its properties.
Lazhar Dhaouadi, Petru Jebelean
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Removable Singularities of Harmonic Functions on Stratified Sets
SymmetryThere are deep historical connections between symmetry, harmonic functions, and stratified sets. In this article, we prove an analog of the removable singularity theorem for bounded harmonic functions on stratified sets.
N. S. Dairbekov +2 more
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Fractional Yamabe problem on locally flat conformal infinities of Poincare-Einstein manifolds [PDF]
, 2017 We study, in this paper, the fractional Yamabe problem introduced by Gonzalez-Qing on the conformal infinity (M^n, [h]) of a Poincare-Einstein manifold (X^{n+1}, g^{+}) with either n=2 or n> 3 and (M^n, [h]) is locally flat - namely (M, h) is locally ...
Martin Gebhard Mayer, C. B. Ndiaye
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