Results 11 to 20 of about 49,771 (197)

The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated.
Seyfollah Mosazadeh
doaj   +1 more source

Some Results in the Theory of Fractional Order Integro-Differential Equation with Boundary Conditions [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2010
This paper deals with the existence and uniqueness of the solution for a boundary value problem of fractional order integro-differential equation, when  using Banach fixed point theorem and Shafer’s fixed point theorem.
Azzam Younes
doaj   +1 more source

Liouville’s theorem for generalized harmonic function [PDF]

Analysis and Mathematical Physics, 2020
In this paper, we give a more physical proof of Liouville's theorem for a class generalized harmonic functions by the method of parabolic equation.
Weihua Wang, Qihua Ruan
openaire   +2 more sources

Cotangent models for integrable systems [PDF]

, 2016
We associate cotangent models to a neighbourhood of a Liouville torus in symplectic and Poisson manifolds focusing on a special class called $b$-Poisson/$b$-symplectic manifolds.
Kiesenhofer, Anna, Miranda, Eva
core   +6 more sources

Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
doaj   +1 more source

Positive Solutions for a Higher-Order Semipositone Nonlocal Fractional Differential Equation with Singularities on Both Time and Space Variable

Journal of Function Spaces, 2019
In this paper, we consider the following higher-order semipositone nonlocal Riemann-Liouville fractional differential equation D0+αx(t)+f(t,x(t),D0+βx(t))+e(t)=0 ...
Kemei Zhang
doaj   +1 more source

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

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, Mohammed Said Souid, Ivanka Stamova   +2 more
doaj   +1 more source

A C^1 Arnol'd-Liouville theorem

Astérisque, 2020
In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the C 1 regularity of the foliation by invariant Lagrangian tori is crucial to prove the continuity of ...
Arnaud, Marie-Claude, Xue, Jinxin
openaire   +3 more sources

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
doaj   +1 more source

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
core   +2 more sources