Results 11 to 20 of about 241,396 (287)
Asymptotic behaviour near a nonlinear sink [PDF]
Asymptotic Analysis, 2012 In this paper, we will develop an iterative procedure to determine the detailed asymptotic behaviour of solutions of a certain class of nonlinear vector differential equations which approach a nonlinear sink as time tends to infinity. This procedure is indifferent to resonance in the eigenvalues.
Calder, Matt S., Siegel, David
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AIMS Mathematics, 2023 In this paper, the circular system of Riccati type complex difference equations of the form $ u_{n+1}^{(j)} = \frac{a_ju_n^{(j-1)}+b_j}{c_ju_n^{(j-1)}+d_j}, \; n = 0, 1, 2, \cdots, \; j = 1, 2, \cdots, k, $ where $ u_n^{(0)}: = u_n^{(k)} $ for
George L. Karakostas
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Quaternionic Artin representations of Q [PDF]
, 2016 Isomorphism classes of dihedral Artin representations of ℚ can be counted asymptotically using Siegel's asymptotic averages of class numbers of binary quadratic forms. Here we consider the analogous problem for quaternionic representations.
Rohrlich, D.
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Weyl Numbers of Embeddings of Tensor Product Besov Spaces [PDF]
, 2015 In this paper we investigate the asymptotic behaviour of Weyl numbers of embeddings of tensor product Besov spaces into Lebesgue spaces.
Nguyen, Van Kien, Sickel, Winfried
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Asymptotic Behaviours of Adiabatic Invariants [PDF]
Progress of Theoretical Physics, 1962 The asymptotic expansion of Liouville's distribution in a one-dimensional system is investigated. The expansion leads to the adiabatic theorem with respect to the action integral, The first order invariance with respect to the slowness parameter E involved in the external distortion is explained in terms of the canonical mapping between two energy ...
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The asymptotic behaviour of p-capacitary potentials in asymptotically conical manifolds
Mathematische Annalen, 2022 We study the asymptotic behaviour of the $p$-capacitary potential and of the weak Inverse Mean Curvature Flow of a bounded set along the ends of an Asymptotically Conical Riemannian manifolds with asymptotically nonnegative Ricci curvature.
Benatti, Luca +2 more
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Asymptotic behaviour of solutions of some differential equations with an unbounded delay
Electronic Journal of Qualitative Theory of Differential Equations, 2000 We investigate the asymptotic properties of all solutions of the functional differential equation $$\dot{x}(t)=p(t)[x(t)-kx(t-\tau (t))]+q(t),\qquad t\in I=[t_0,\infty),$$ where $k\ne 0$ is a scalar and $\tau (t)$ is an unbounded delay.
Jan Čermák
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Ground state sign-changing solutions for critical Choquard equations with steep well potential
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we study sign-changing solution of the Choquard type equation \begin{align*} -\Delta u+\left(\lambda V(x)+1\right)u =\big(I_\alpha\ast|u|^{2_\alpha^*}\big)|u|^{2_\alpha^*-2}u +\mu|u|^{p-2}u\quad \mbox{in}\ \mathbb{R}^N, \end{align*} where
Yong-Yong Li, Gui-Dong Li, Chun-Lei Tang
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, 2006 We study the theory of scattering for the Maxwell-Schr"odinger system in space dimension 3, in the Coulomb gauge. We prove the existence of modified wave operators for that system with no size restriction on the Schr"odinger and Maxwell asymptotic data ...
Ginibre, J., Velo, G.
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The order parameter-entropy relation in some universal classes: experimental evidence [PDF]
, 2003 The asymptotic behaviour near phase transitions can be suitably characterized by the scaling of $\Delta s/Q^2$ with $\epsilon=1-T/T_c$, where $\Delta s$ is the excess entropy and $Q$ is the order parameter. As $\Delta s$ is obtained by integration of the
Atake T +31 more
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