Results 21 to 30 of about 95 (36)
Nonautonomous Dynamical SystemsIn this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode +2 more
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Trigonal curves and algebro-geometric solutions to soliton hierarchies
, 2016 Using linear combinations of Lax matrices of soliton hierarchies, we introduce trigonal curves by their characteristic equations, and determine Dubrovin type equations for zeros and poles of meromorphic functions defined as ratios of the Baker-Akhiezer ...
Ma, Wen-Xiu
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Tensor-based numerical method for stochastic homogenisation
, 2018 This paper addresses the complexity reduction of stochastic homogenisation of a class of random materials for a stationary diffusion equation. A cost-efficient approximation of the correctors is built using a method designed to exploit quasi-periodicity.
Ayoul-Guilmard, Quentin +2 more
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Advances in Difference Equations, 2011 This article deals primarily with the existence and uniqueness of square-mean almost automorphic mild solutions for a class of stochastic differential equations in a real separable Hilbert space.
N'Guérékata Gaston +2 more
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Almost periodic pseudodifferential operators and Gevrey classes
, 2011 We study almost periodic pseudodifferential operators acting on almost periodic functions $G_{\rm ap}^s(\rr d)$ of Gevrey regularity index $s \geq 1$. We prove that almost periodic operators with symbols of H\"ormander type $S_{\rho,\delta}^m$ satisfying
Oliaro, Alessandro +2 more
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KAM for the quantum harmonic oscillator
, 2011 In this paper we prove an abstract KAM theorem for infinite dimensional Hamiltonians systems. This result extends previous works of S.B. Kuksin and J. P\"oschel and uses recent techniques of H. Eliasson and S.B. Kuksin.
B. Grébert +20 more
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Asymptotic periodic solutions of differential equations with infinite delay
, 2023 In this paper, by using the spectral theory of functions and properties of evolution semigroups, we establish conditions on the existence, and uniqueness of asymptotic 1-periodic solutions to a class of abstract differential equations with infinite delay
Huy, Nguyen Duc +3 more
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, 2013 The paper is to study the asymptotic dynamics in nonmonotone comparable almost periodic reaction-diffusion system with Dirichlet boundary condition, which is comparable with uniformly stable strongly order-preserving system. By appealing to the theory of
Cao, Feng, Fu, Yelai
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Soliton interaction with small Toeplitz potentials for the Szego equation on the real line
, 2011 We consider the cubic Szego equation perturbed by a small Toeplitz potential (natural generalization of a multiplicative potential) and having as initial condition a soliton of the unperturbed equation.
Pocovnicu, Oana
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The EHTA for Two Shallow Water Wave Equations [PDF]
, 2011 In this paper, two shallow water wave equations are studied by using the extended homoclinic test approach (EHTA). The new exact solutions for the shallow water wave equations are obtained.
Defei Zhang, Ping He, Wei Li
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