In this paper, we study the exponential stability in the th moment of mild solutions to neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion: where . Our method for investigating the stability of solutions is based on the Banach fixed point theorem. The obtained results generalize and improve the results due to Boufoussi and Hajji (Stat. Probab. Lett. 82:1549-1558, 2012), Caraballo et al. (Nonlinear Anal. 74:3671-3684, 2011), and Luo (J. Math. Anal. Appl. 355:414-425, 2009).
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096910 | PMC |
| http://dx.doi.org/10.1186/s13660-018-1793-9 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Emergence of opposing arrows of time in open quantum systems.
Sci Rep
January 2025
School of Mathematics and Physics, University of Surrey, GU2 7XH, Guildford, United Kingdom.
Deriving an arrow of time from time-reversal symmetric microscopic dynamics is a fundamental open problem in many areas of physics, ranging from cosmology, to particle physics, to thermodynamics and statistical mechanics. Here we focus on the derivation of the arrow of time in open quantum systems and study precisely how time-reversal symmetry is broken. This derivation involves the Markov approximation applied to a system interacting with an infinite heat bath.
View Article and Find Full Text PDFRecurrent events modeling based on a reflected Brownian motion with application to hypoglycemia.
Biostatistics
December 2024
Department of Statistics, University of Connecticut, 215 Glenbrook Road Unit 4120, Storrs, CT 06269, United States.
Patients with type 2 diabetes need to closely monitor blood sugar levels as their routine diabetes self-management. Although many treatment agents aim to tightly control blood sugar, hypoglycemia often stands as an adverse event. In practice, patients can observe hypoglycemic events more easily than hyperglycemic events due to the perception of neurogenic symptoms.
View Article and Find Full Text PDFDiverging evolutionary trajectories for palm seed sizes in mainland Africa and Madagascar.
Evolution
January 2025
Department of Geosciences, Pennsylvania State University, State College, PA, USA.
Seed size is a trait which determines survival rates for individual plants and can vary as a result of numerous trade-offs. In the palm family (Arecaceae) today, there is great variation in seed sizes. Past studies attempting to establish drivers for palm seed evolution have sometimes yielded contradictory findings in part because modern seed size variations are complicated by long-term legacies, including biogeographic differences across lineages.
View Article and Find Full Text PDFAnalysis of intramolecular modes of liquid water in two-dimensional spectroscopy: A classical hierarchical equations of motion approach.
J Chem Phys
January 2025
Department of Chemistry, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan.
Two-dimensional (2D) vibrational spectroscopy is a powerful means of investigating the structure and dynamics of complex molecules in condensed phases. However, even in theory, analysis of 2D spectra resulting from complex inter- and intra-molecular motions using only molecular dynamics methods is not easy. This is because molecular motions comprise complex multiple modes and peaks broaden and overlap owing to various relaxation processes and inhomogeneous broadening.
View Article and Find Full Text PDFGold Nanorods Decorated by Conjugated Microporous Polymers for Infrared Responsive Cytostatic Drug Delivery.
Langmuir
January 2025
Leibniz-Institut für Polymerforschung Dresden e.V., Hohe Straße 6, 01069 Dresden, Germany.
Near-infrared (NIR) controlled drug delivery systems have drawn a lot of attention throughout the past few decades due to the deep penetration depth and comparatively minor side effects of the stimulus. In this study, we introduce an innovative approach for gastric cancer treatment by combining photothermal infrared-sensitive gold nanorods (AuNRs) with a conjugated microporous polymer (CMP) to create a drug delivery system tailored for transporting the cytostatic drug 5-fluorouracil (5-FU). CMPs are fully conjugated networks with high internal surface areas that can be precisely tailored to the adsorption and transport of active compounds through the right choice of chemical functionalities.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!