Results 31 to 40 of about 66,497 (169)

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Creep properties and constitutive model of diabase in deep water conveyance tunnels

Deep Underground Science and Engineering, EarlyView.
The axial and lateral creep characteristics of diabase were analyzed based on compression creep tests. The nonlinear viscoelastic‐plastic model capable of describing the whole creep process was established based on the fractional derivative and damage theories.
Zhigang Tao, Pengxiao Guan, Xiaojie Yang, Keyuan Liu, Mingjiu Cai, Hong Yang   +5 more
wiley   +1 more source

Geometry of transcendental singularities of complex analytic functions and vector fields

Complex Manifolds
On Riemann surfaces MM, there exists a canonical correspondence between a possibly multivalued function ΨX{\Psi }_{X} whose differential is single-valued (i.e. an additively automorphic singular complex analytic function) and a vector field XX.
Alvarez-Parrilla Alvaro, Muciño-Raymundo Jesús   +1 more
doaj   +1 more source

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

Mathematical 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, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Space-Time Complexity in Hamiltonian Dynamics

, 2003
New notions of the complexity function C(epsilon;t,s) and entropy function S(epsilon;t,s) are introduced to describe systems with nonzero or zero Lyapunov exponents or systems that exhibit strong intermittent behavior with ``flights'', trappings, weak ...
Brudno A. A., Dinaburg E. I., G. M. Zaslavsky, Kolmogorov A. N., Malkin M. I., Milnor J., Tikhomirov V. M., V. Afraimovich   +7 more
core   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

Superlinear singular fractional boundary-value problems

Electronic Journal of Differential Equations, 2016
In this article, we study the superlinear fractional boundary-value problem $$\displaylines{ D^{\alpha }u(x) =u(x)g(x,u(x)),\quad ...
Imed Bachar, Habib Maagli
doaj  

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, EarlyView.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

On a positivity property of the Riemann ξ-function [PDF]

Acta Arithmetica, 1999
The functional equation for the Riemann zeta-function \(\zeta(s)\) is \(\xi(s) = \xi(1-s)\), where \[ \xi(s) := {\textstyle{1\over 2}}s(s-1)\pi^{-s/2}\Gamma( {\textstyle{1\over 2}}s)\zeta(s) = {\textstyle{1\over 2}}\prod_\rho {'} \left(1 - {s\over\rho}\right),\leqno(1) \] the product being taken over all complex zeros \(\rho\) of \(\zeta(s ...
openaire   +2 more sources