Results 21 to 30 of about 51,027 (249)
Axioms, 2023 This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays.
Benoumran Telli +2 more
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Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics [PDF]
, 2006 We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal momentum space are treated on equal footing.
B. Aebischer +7 more
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Dissipative Sturm-Liouville Operators with Transmission Conditions
Abstract and Applied Analysis, 2013 In this paper we study dissipative Sturm-Liouville operators with transmission conditions. By using Pavlov’s method (Pavlov 1947, Pavlov 1981, Pavlov 1975, and Pavlov 1977), we proved a theorem on completeness of the system of eigenvectors and associated
Hüseyin Tuna, Aytekin Eryılmaz
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A Sharp Liouville Theorem for Elliptic Operators [PDF]
, 2010 We introduce a new condition on elliptic operators $L= {1/2}\triangle + b \cdot \nabla $ which ensures the validity of the Liouville property for bounded solutions to $Lu=0$ on $\R^d$. Such condition is sharp when $d=1$.
Priola, Enrico, Wang, Feng-Yu
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Fluctuation theorems for quantum master equations [PDF]
, 2006 A quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is derived based solely on the assumption that its reduced density matrix obeys a closed evolution equation i.e. a quantum master equation (QME).
Esposito, Massimiliano, Mukamel, Shaul
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A Two Well Liouville Theorem [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2005 Summary: We analyse the structure of approximate solutions to the compatible two-well problem with the constraint that the surface energy of the solution is less than some fixed constant. We prove a quantitative estimate that can be seen as a two-well analogue of the Liouville theorem of \textit{G. Friesecke}, \textit{R. D. James} and \textit{S. Müller}
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Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives
, 2012 We prove a Noether type symmetry theorem to fractional problems of the calculus of variations with classical and Riemann-Liouville derivatives. As result, we obtain constants of motion (in the classical sense) that are valid along the mixed classical ...
Frederico, Gastao S. F. +1 more
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Asymptotic Stability Results for Nonlinear Fractional Difference Equations
Journal of Applied Mathematics, 2012 We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-likedifference operator.
Fulai Chen, Zhigang Liu
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The Liouville-type theorem for integrable Hamiltonian systems with incomplete flows
, 2012 For integrable Hamiltonian systems with two degrees of freedom whose Hamiltonian vector fields have incomplete flows, an analogue of the Liouville theorem is established.
A. G. Khovanskii +11 more
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On Cauchy–Liouville-type theorems
Advances in Nonlinear Analysis, 2017 AbstractIn this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
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