Results 41 to 50 of about 793 (181)
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
A C^1 Arnol'd-Liouville theorem
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
Abstract Discrete energy bands of ion fluxes, typically organized in velocity with equal separations, have been frequently observed in Jupiter's magnetosphere either in association with Galilean moons or in regions far from their influence. Here, we focus on the latter type and propose that these bands are manifestations of bounce‐phase structuring ...
Ya‐Ze Wu +5 more
wiley +1 more source
Abstract As an airless body, the lunar surface is charged as a result of balancing electric currents into and away from the surface. Lunar surface charging is important for both scientific and human‐exploration purposes. The nightside surface charging has been well characterized by previous studies, but less so for the dayside.
Shaosui Xu +3 more
wiley +1 more source
Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem
By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under ...
Wenzhe Xie, Jing Xiao, Zhiguo Luo
doaj +1 more source
Lp - Liouville theorems for invariant evolution equations
Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws. Results for both solutions and sub-solutions are given.
Alessia E. Kogoj
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Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations
ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
wiley +1 more source
The purpose of this paper is to study a generalized Riemann–Liouville fractional differential equation and system with nonlocal boundary conditions. Firstly, some properties of the Green function are presented and then Lyapunov-type inequalities for a ...
Faouzi Haddouchi, Mohammad Esmael Samei
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A sequential quadratic Hamiltonian‐based estimation method for Box‐Cox transformation cure model
ABSTRACT We propose an enhanced estimation method for the Box‐Cox transformation (BCT) cure rate model parameters by introducing a generic maximum likelihood estimation algorithm, the sequential quadratic Hamiltonian (SQH) scheme, which is based on a gradient‐free approach.
Phuong Bui +3 more
wiley +1 more source

