Results 21 to 30 of about 9,396 (291)
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We consider a class of nonlinear time-delay systems of neutral type with periodic coefficients in linear terms and several delays. We establish conditions under which the zero solution is exponentially stable and obtain estimates characterizing ...
Gennadii Demidenko, Inessa Matveeva
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Sharp exponential decay for solutions of the stationary perturbed Dirac equation
, 2022 We determine the largest rate of exponential decay at infinity for non-trivial solutions to the Dirac equation nψ + ψ = 0in Rn, being n the massless Dirac operator in dimension n ≥ 2 and a (possibly non-Hermitian) matrix-valued perturbation such that |(x)
Cassano B.
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Boundary Value Problems, 2017 In this paper we consider the existence and general energy decay rate of global solution to the mixed problem for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions.
Jum-Ran Kang
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Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations
Mathematics, 2021 We consider a class of second-order nonlinear delay differential equations with periodic coefficients in linear terms. We obtain conditions under which the zero solution is asymptotically stable. Estimates for attraction sets and decay rates of solutions
Gennadii V. Demidenko +1 more
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An infinity of possible invariants for decaying homogeneous turbulence [PDF]
Physics Letters A, 2011 The von Karman-Howarth equation implies an infinity of invariants corresponding to an infinity of different asymptotic behaviours of the double and triple velocity correlation functions at infinite separations. Given an asymptotic behaviour at infinity for which the Birkhoff-Saffman invariant is not infinite, there are either none, or only one or only ...
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Unique continuation at infinity: Carleman estimates on general warped cylinders [PDF]
We obtain a vanishing result for solutions of the inequality $|\Delta u|\le q_1|u|+q_2|\nabla u|$ that decay to zero along a very general warped cylindrical end of a Riemannian manifold.
Pigola, Stefano +2 more
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Radial symmetry for a generalized nonlinear fractional p-Laplacian problem
Nonlinear Analysis, 2021 This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou +3 more
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Decay rates at infinity for solutions to periodic Schrödinger equations [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019 AbstractWe consider the equation Δu = Vu in the half-space ${\open R}_ + ^d $, d ⩾ 2 where V has certain periodicity properties. In particular, we show that such equations cannot have non-trivial superexponentially decaying solutions. As an application this leads to a new proof for the absolute continuity of the spectrum of particular periodic ...
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Asymptotics of solutions to Joukovskii-Kutta type problems at infinity [PDF]
, 2000 We investigate the behavior at infinity of solutions to Joukovskii-Kutta-type problems, arising in the linearized lifting surface theory. In these problems one looks for the perturbation velocity potential induced by the presence of a wing in a basic ...
Hinder, Rainer +4 more
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Decay at infinity for parabolic equations
, 2005 We consider solutions to linear parabolic equations with initial data decaying at spatial infinity. For a class of advection-diffusion equations with a spatially dependent velocity field, we study the behavior of solutions as time tends to infinity. We characterize velocity fields, so that positive solutions decay or lift-off at spatial infinity as ...
Schnürer, Oliver C. +1 more
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