Results 31 to 40 of about 813 (186)
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 +3 more
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 We consider the eigenvalue problem for the p(x)-Laplace - Beltrami operator on the unit sphere. We prove an integro - differential inequality related to the smallest positive eigenvalue of this problem.
Damian Wiśniewski, Mariusz Bodzioch
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Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
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Maximum principles for integro-differential parabolic operators
Differential and Integral Equations, 1995 The parabolic integro-differential operator in a cylinder \(Q_ T= \Omega\times (0, T)\), where \(\Omega\) is either a bounded or an unbounded domain in \(\mathbb{R}^ d\), \(T\leq +\infty\), \[ {\mathcal A}(x, t, \partial_ x, \partial_ t) u(x, t)= \partial_ t u(x, t)- a_{ij} \partial_{ij} u(x, t)+ a_ i \partial_ i u(x, t)+ a_ 0 u(x, t)- Iu(x, t) \] is ...
Garroni, Maria Giovanna +1 more
openaire +3 more sources
A Peridynamic Framework for Modeling Progressive Failure in Porous Sandstone Indentation
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT A state‐based peridynamic model is proposed to simulate the failure mechanisms in porous rocks, using Bentheim sandstone as a specific example. Experimental observations reveal a transition from brittle to ductile failure under increasing triaxial compression. This behavior is attributed to pore compaction. The peridynamic model is enhanced to
Sahir N. Butt +2 more
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Methods in Ecology and Evolution, EarlyView.Abstract The rapid expansion of biodiversity data presents new opportunities to understand and forecast biosphere dynamics. However, disparate and dispersed data, taxonomic and geographic inconsistencies, pervasive quality issues, and a lack of reproducable workflows hinder synthesis, introduce biases and limit accurate assessment of biodiversity ...
Brian J. Enquist +38 more
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Stability of some essential B-spectra of pencil operators and application
Extracta Mathematicae, 2021 In this paper, we give some results on the essential B-spectra of a linear operator pencil, which are used to determine the essential B-spectra of an integro-differential operator with abstract boundary conditions in the Banach space Lp([−a, a] × [−1, 1])
A. Ben Ali, M. Boudhief, N. Moalla
doaj
Study on integro-differential equation with generalized p-Laplacian operator [PDF]
Boundary Value Problems, 2012 Abstract We tackle the existence and uniqueness of the solution for a kind of integro-differential equations involving the generalized p-Laplacian operator with mixed boundary conditions. This is achieved by using some results on the ranges for maximal monotone operators and pseudo-monotone operators. The method used in this paper extends and
Wei, Li +2 more
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Conservation Biology, EarlyView.Abstract Knowledge of species distributions is essential for informing policies on nature conservation and restoration. However, updating them on a regular basis and doing so in a harmonized manner at the international level is difficult. The European Bird Census Council integrated national monitoring data covering 5 years to update farmland bird ...
Sergi Herrando +54 more
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Reinforcement Learning for Jump‐Diffusions, With Financial Applications
Mathematical Finance, EarlyView.ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
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