Results 31 to 40 of about 666,505 (227)

Weak Liouville-Arnold Theorems & Their Implications [PDF]

open access: yes, 2012
This paper studies the existence of invariant smooth Lagrangian graphs for Tonelli Hamiltonian systems with symmetries. In particular, we consider Tonelli Hamiltonians with n independent but not necessarily involutive constants of motion and obtain two ...
A. Fathi   +27 more
core   +1 more source

A mean value formula and a Liouville theorem for the complex Monge-Amp\`ere equation [PDF]

open access: yes, 2017
In this paper, we prove a mean value formula for bounded subharmonic Hermitian matrix valued function on a complete Riemannian manifold with nonnegative Ricci curvature.
Chao Li, Jiayu Li, Xi Zhang
semanticscholar   +1 more source

A Liouville theorem for the subcritical Lane-Emden system [PDF]

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2014
In this paper, we present a necessary and sufficient condition to the Lane-Emden conjecture. This condition is an energy type of integral estimate on solutions to subcritical Lane-Emden system. To approach the long standing and interesting conjecture, we
Ze Cheng, Genggeng Huang, Congming Li
semanticscholar   +1 more source

Boundary-Value Problem for Nonlinear Fractional Differential Equations of Variable Order with Finite Delay via Kuratowski Measure of Noncompactness

open access: yesAxioms, 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
doaj   +1 more source

Dissipative Sturm-Liouville Operators with Transmission Conditions

open access: yesAbstract 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
doaj   +1 more source

A new kind of uniqueness theorems for inverse Sturm-Liouville problems

open access: yesBoundary Value Problems, 2017
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
doaj   +1 more source

Asymptotic Stability Results for Nonlinear Fractional Difference Equations

open access: yesJournal 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
doaj   +1 more source

An extension of Milloux's theorem to half-linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2000
A theorem of Milloux (1934) concerning the Sturm-Liouville differential equations is extended to the so-called half-linear differential equations.
Á. Elbert, F. V. Atkinson
doaj   +1 more source

Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics [PDF]

open access: yes, 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
core   +3 more sources

Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives

open access: yes, 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
core   +1 more source

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