Results 41 to 50 of about 1,797,896 (242)

Averaged Systems of Stochastic Differential Equations with Lévy Noise and Fractional Brownian Motion

Fractal and Fractional
In some problems, partial differential equations are reduced to ordinary differential equations. In special cases, when incorporating randomness, equations can be reduced to systems of stochastic differential Equations (SDEs).
Tayeb Blouhi, Hussien Albala, Fatima Zohra Ladrani, Amin Benaissa Cherif, Abdelkader Moumen, Khaled Zennir, Keltoum Bouhali   +6 more
doaj   +1 more source

Stochastic Entropy Solutions for Stochastic Scalar Balance Laws

Entropy, 2019
We are concerned with the initial value problem for a multidimensional balance law with multiplicative stochastic perturbations of Brownian type.
Jinlong Wei, Bin Liu, Rongrong Tian, Liang Ding   +3 more
doaj   +1 more source

Optimal harvesting for a stochastic competition system with stage structure and distributed delay

Electronic Journal of Qualitative Theory of Differential Equations, 2021
A stochastic competition system with harvesting and distributed delay is investigated, which is described by stochastic differential equations with distributed delay.
Yue Zhang, Jing Zhang
doaj   +1 more source

Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time

Advances in Difference Equations, 2004
The general method of Lyapunov functionals construction which was developed during the last decade for stability investigation of stochastic differential equations with aftereffect and stochastic difference equations is considered. It is shown that after
Leonid Shaikhet
doaj   +2 more sources

Caratheodory’s approximation for a type of Caputo fractional stochastic differential equations

Advances in Difference Equations, 2020
The Caratheodory approximation for a type of Caputo fractional stochastic differential equations is considered. As is well known, under the Lipschitz and linear growth conditions, the existence and uniqueness of solutions for some type of differential ...
Zhongkai Guo, Junhao Hu, Weifeng Wang
doaj   +1 more source

Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding

FEBS Letters, EarlyView.
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança, Eline L. Jansen, Jorine M. Eeftens   +2 more
wiley   +1 more source

Quantum State Evolution in an Environment of Cosmological Perturbations

Universe, 2021
We study the pure and thermal states of quantized scalar and tensor perturbations in various epochs of Universe evolution. We calculate the density matrix of non-relativistic particles in an environment of these perturbations.
Zbigniew Haba
doaj   +1 more source

PAK1 activation drives divergent resistance mechanisms to aromatase inhibition and tamoxifen in a luminal: A breast cancer model

Molecular Oncology, EarlyView.
Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller, Janina Müller, Efstathios‐Iason Vlachavas, Lukas Beumers, Lena Fleischhacker, Sara Burmester, Angelika Wörner, Sabine Karolus, Dominic Helm, Cindy Körner, Stefan Wiemann   +10 more
wiley   +1 more source

Comparison theorem of one-dimensional stochastic hybrid delay systems [PDF]

, 2008
The comparison theorem of stochastic differential equations has been investigated by many authors. However, little research is available on the comparison theorem of stochastic hybrid systems, which is the topic of this paper.
Yuan, Chenggui, Yuan, C., Yang, Z., Mao, X., Chenggui Yuan, Mao, Xuerong, Yang, Zhe   +6 more
core   +3 more sources

Stability Issues for Selected Stochastic Evolutionary Problems: A Review

Axioms, 2018
We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone, Dajana Conte, Raffaele D’Ambrosio, Beatrice Paternoster   +3 more
doaj   +1 more source