Results 31 to 40 of about 51,027 (249)

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

Liouville theorem for Beltrami flow

open access: yes, 2014
We prove that the Beltrami flow of ideal fluid in $R^3$ of a finite energy is zero.Comment: To appear in ...
Nikolai, Nadirashvili
core   +3 more sources

The Inertial Theorem

open access: yes, 2020
We present a new theorem describing stable solutions for a driven quantum system. The theorem, coined `inertial theorem', is applicable for fast driving, provided the acceleration rate is small.
Dann, Roie, Kosloff, Ronnie
core   +1 more source

Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential

open access: yesEntropy, 2017
In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville–Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for the ...
Neamat Nyamoradi   +3 more
doaj   +1 more source

The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach

open access: yes, 1999
A symplectic theory approach is devised for solving the problem of algebraic-analytical construction of integral submanifold imbeddings for integrable (via the nonabelian Liouville-Arnold theorem) Hamiltonian systems on canonically symplectic phase ...
Abraham R.   +24 more
core   +4 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

Fractional derivative generalization of Noether’s theorem

open access: yesOpen Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam   +2 more
doaj   +1 more source

A proof of Liouville’s theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
1. S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. 2. E. Heinz, Ein v. Neumannscher Satz iuber beschriinkte Operatoren im Hilbertschen Raum, Nachr. Akad. Wiss. Gottingen. Math.-Phys. Kl. Ila. (1952) pp. 5-6. 3. J.
openaire   +1 more source

Liouville theorems for Dirac-harmonic maps [PDF]

open access: yesJournal of Mathematical Physics, 2007
We prove Liouville theorems for Dirac-harmonic maps from the Euclidean space Rn, the hyperbolic space Hn, and a Riemannian manifold Sn (n⩾3) with the Schwarzschild metric to any Riemannian manifold N.
Chen, Qun, Jost, Jürgen, Wang, Guofang
openaire   +2 more sources

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

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