Now showing items 1-10 of 20
Solvability of a multi-point boundary value problem of Neumann type
Let f:[0,1]×?2?? be a function satisfying Carathéodory's conditions and e(t)?L1[0,1]. Let ?i?(0,1),ai??,i=1,2,…,m?2,0<?1<?2<?<?m?2<1 be given. This paper is concerned with the problem of existence of a solution for the ...
Impulse Control in Kalman-Like Filtering Problems
This paper develops the impulse control approach to the observation process in Kalman-like filtering problems, which is based on impulsive modeling of the transition matrix in an observation equation. The impulse control ...
Existence theorems for a second order m-point boundary value problem at resonance
Let f:[0,1]×R2?R be function satisfying Caratheodory's conditions and e(t)?L1[0,1]. Let ??(0,1), ?i?(0,1), ai?0, i=1,2,…,m?2, with ?i=1m?2ai=1, 0<?1<?2<…<?m?2<1 be given. This paper is concerned with the problem of existence ...
Emergency Control of Unstable Behavior of Nonlinear Systems Induced by Fault
This paper presents the emergency control approach intended to urgently return to the stability basin the system states affected by abrupt changes in certain system coefficients on a short time interval. Because of its ...
Behavior Responses to Chemical and Optogenetic Stimuli in Drosophila Larvae
An animal's ability to navigate an olfactory environment is critically dependent on the activities of its first-order olfactory receptor neurons (ORNs). While considerable research has focused on ORN responses to odorants, ...
Fluid flows of mixed regimes in porous media
In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy, and post-Darcy. Because of their different natures, these are usually treated separately in the literature. To study complex flows ...
Entropy and optimality in river deltas
The form and function of river deltas is intricately linked to the evolving structure of their channel networks, which controls how effectively deltas are nourished with sediments and nutrients.Understanding the coevolution ...
Sleep Apnea and Hypoventilation in Patients with Down Syndrome: Analysis of 144 Polysomnogram Studies
Patients with Down syndrome (DS) are at risk for both obstructive sleep apnea (OSA) and central sleep apnea (CSA)
Balancing an Academic Career in Mathematics with Motherhood and Life's Other Passions
I became a mother while a postdoctoral fellow, and solved my two-body problem shortly thereafter, becoming a tenure-track professor in mathematics and statistics. My plan to have a second child came with an unexpected ...