Results 11 to 20 of about 238,303 (293)
A new minimax theorem and a perturbed James's theorem [PDF]
Bulletin of the Australian Mathematical Society, 2002 The main result of this paper is a sufficient condition for the minimax relation to hold for the canonical bilinear form on X × Y, where X is a nonempty convex subset of a real locally convex space and Y is a nonempty convex subset of its dual. Using the known “converse minimax theorem”, this result leads easily to a nonlinear generalisation of James's
Ruiz Galán, M., Simons, S.
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Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In the present paper we deal with a quasilinear problem involving a singular term and a parametric superlinear perturbation. We are interested in the existence, nonexistence and multiplicity of positive solutions as the parameter $\lambda>0$ varies.
Ricardo Alves
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Generic perturbations of linear integrable Hamiltonian systems [PDF]
, 2015 In this paper, we investigate perturbations of linear integrable Hamiltonian systems, with the aim of establishing results in the spirit of the KAM theorem (preservation of invariant tori), the Nekhoroshev theorem (stability of the action variables for a
A. Bounemoura +26 more
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Perturbations and Weyl’s theorem [PDF]
Proceedings of the American Mathematical Society, 2007 A Banach space operator T T is completely hereditarily normaloid, T ∈ C H N T\in \mathcal {CHN} , if either every part, and (also) T p − 1 T_p^{-1} for every invertible part T
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Generators of Analytic Resolving Families for Distributed Order Equations and Perturbations
Mathematics, 2020 Linear differential equations of a distributed order with an unbounded operator in a Banach space are studied in this paper. A theorem on the generation of analytic resolving families of operators for such equations is proved.
Vladimir E. Fedorov
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An Augmented Lagrangian Algorithm for Solving Semiinfinite Programming
Journal of Applied Mathematics, 2012 We present a smooth augmented Lagrangian algorithm for semiinfinite programming (SIP). For this algorithm, we establish a perturbation theorem under mild conditions.
Qian Liu, Changyu Wang
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A perturbed ergodic theorem [PDF]
Proceedings of the American Mathematical Society, 1999 Using a version of an ergodic lemma due to Cuculescu and Foiaş, we prove a pointwise ergodic theorem for L 1 L^1 -contractions which can be viewed as a perturbed version of the celebrated ergodic theorem of Chacon and Ornstein.
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A Kam Theorem for Space-Multidimensional Hamiltonian PDE [PDF]
, 2016 We present an abstract KAM theorem, adapted to space-multidimensional hamiltonian PDEs with smoothing non-linearities. The main novelties of this theorem are that: $\bullet$ the integrable part of the hamiltonian may contain a hyperbolic part and as a ...
Eliasson, L Hakan +2 more
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Markovian perturbation, response and fluctuation dissipation theorem [PDF]
, 2010 We consider the Fluctuation Dissipation Theorem (FDT) of statistical physics from a mathematical perspective. We formalize the concept of "linear response function" in the general framework of Markov processes.
Dembo, Amir, Deuschel, Jean-Dominique
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Existence of Generalized Homoclinic Solutions of Lotka-Volterra System under a Small Perturbation
Journal of Function Spaces, 2016 This paper investigates Lotka-Volterra system under a small perturbation vxx=-μ(1-a2u-v)v+ϵf(ϵ,v,vx,u,ux), uxx=-(1-u-a1v)u+ϵg(ϵ,v,vx,u,ux). By the Fourier series expansion technique method, the fixed point theorem, the perturbation theorem, and the ...
Yuzhen Mi
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