Oscillatory behavior of the second order noncanonical differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 Establishing monotonical properties of nonoscillatory solutions we introduce new oscillatory criteria for the second order noncanonical differential equation with delay/advanced argument \begin{equation*} (r(t)y'(t))'+p(t)y(\tau(t))=0. \end{equation*}
Blanka Baculíková
doaj +1 more source
Oscillation of a higher order neutral differential equation with a sub-linear delay term and positive and negative coefficients [PDF]
, 1997 summary:We obtain sufficient conditions for every solution of the differential equation $$ [y(t)-p(t)y(r(t))]^{(n)}+v(t)G(y(g(t)))-u(t)H(y(h(t)))=f(t) $$ to oscillate or to tend to zero as $t$ approaches infinity.
Dix, Julio G. +4 more
core +1 more source
On the oscillation of third-order quasi-linear neutral functional differential equations [PDF]
, 2011 summary:The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation \begin{equation*} \big [a(t)\big ([x(t)+p(t)x(\delta (t))]^{\prime \prime }\big )^\alpha \big ]^{\prime }+q(t)x ...
Thandapani, E., Li, Tongxing
core +1 more source
Oscillation criteria for second order neutral differential equations [PDF]
, 1990 summary:Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation \big(x(t)-px(t-\tau)\big)"+q(t)x\big(\sigma(t)\big ...
Mihalíková, Božena +4 more
core +1 more source
Approximate solutions of stochastic differential delay equations with Markovian switching [PDF]
, 2010 Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local ...
Li, Xiaoyue +4 more
core +1 more source
FEBS Open Bio, EarlyView.Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source
Oscillatory behavior of higher order neutral differential equation with multiple functional delays under derivative operator [PDF]
, 2022 summary:In this article, we obtain sufficient conditions so that every solution of neutral delay differential equation \[ \big (y(t)- \sum _{i=1}^k p_i(t) y(r_i(t))\big )^{(n)}+ v(t)G( y(g(t)))-u(t)H(y(h(t))) = f(t) \] oscillates or tends to zero as $t ...
Rath, R.N., Rath, S.K., Panda, K.C.
core +1 more source
Evaluating the involvement of autolysosomes in the nuclear translocation of fluorescent proteins
FEBS Open Bio, EarlyView.Endogenously expressed fluorescent proteins can be degraded by autophagy and transported to cell nuclei via the nuclear pore complex. But in some cell lines, for example, HeLa cells which are positive for immunoreactivity of a receptor ligand, such as UCN I, in cell nuclei, fusion of autolysosome with the nuclear envelope is involved in the nuclear ...
Keiichi Ikeda
wiley +1 more source
Existence of solutions for abstract neutral integro-differential equations with unbounded delay [PDF]
, 1998 summary:In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay.
Hernández, Eduardo M. +6 more
core +1 more source
Validity of a Wearable Digital Insole for Assessing Gait ON and OFF in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Gait impairment is a distinctive symptom of Parkinson's disease that negatively impact mobility. We assessed the validity of wearable digital insoles against a validated reference gait analysis system for measuring select gait characteristics in patients with Parkinson's disease. Methods A comparative analysis between digital insoles
Deborah A. Hall +16 more
wiley +1 more source