Oscillation of deviating differential equations [PDF]
Mathematica Bohemica, 2020 Consider the first-order linear delay (advanced) differential equation x'(t)+p(t)x( \tau(t)) =0\quad(x'(t)-q(t)x(\sigma(t)) =0),\quad t\geq t_0, where $p$ $(q)$ is a continuous function of nonnegative real numbers and the argument $\tau(t)$ $(\sigma(
George E. Chatzarakis
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Principal solution of half-linear differential equation: Limit and integral characterization
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We investigate integral and limit characterizations of the principal solution of the nonoscillatory half-linear differential equation $$ (r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad \Phi(x)=|x|^{p-2},\ p>1 $$.
Zuzana Dosla, Ondrej Dosly
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Nonexistence of Unbounded Nonoscillatory Solutions of Partial Difference Equations
Journal of Mathematical Analysis and Applications, 1997 The authors develop criteria for the nonexistence of eventually positive (negative) and nondecreasing (nonincreasing) solutions of the partial difference equation \[ \nabla_m \nabla_n y(m,n)+ P\bigl(m,n,y (m+k, n+l)\bigr) =Q \bigl(m,n, y(m+k,n-l) \bigr) \] and \[ \nabla_m \nabla_n y(m,n)+ \sum^\tau_{i=1} P_i\bigl(m,n,y (m+k_i, n+l_i)\bigr)= \sum^\tau_ ...
Wong, P.J.Y., Agarwal, R.P.
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Oscillation and non-oscillation of some neutral differential equations of odd order
International Journal of Mathematics and Mathematical Sciences, 1992 An existence criterion for nonoscillatory solution for an odd order neutral differential equation is provided. Some sufficient conditions are also given for the oscillation of solutions of some nth order equations with nonlinearity in the neutral term.
B. S. Lalli, B. G. Zhang
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Oscillation criteria for third order nonlinear delay differential equations with damping [PDF]
Opuscula Mathematica, 2015 This note is concerned with the oscillation of third order nonlinear delay differential equations of the form \[\label{*} \left( r_{2}(t)\left( r_{1}(t)y^{\prime}(t)\right)^{\prime}\right)^{\prime}+p(t)y^{\prime}(t)+q(t)f(y(g(t)))=0.\tag{\(\ast\)}\] In ...
Said R. Grace
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On Some Conjectures on the Nonoscillatory Solutions of Neutral Differential Equations
Journal of Mathematical Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bainov, D., Petrov, V.
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Existence of Nonoscillatory Solutions of First‐Order Neutral Differential Equations [PDF]
Abstract and Applied Analysis, 2011 This paper contains some sufficient conditions for the existence of positive solutions which are bounded below and above by positive functions for the first‐order nonlinear neutral differential equations.
Dorociaková, Božena +2 more
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Speech Neurophysiology in Realistic Contexts: Big Hype or Big Leap?
European Journal of Neuroscience, Volume 63, Issue 12, June 2026.Speech neurophysiology is moving from controlled listening tasks to dynamic, socially rich interactions, challenging traditional methods. This shift promises deeper insights into how the brain processes and represents speech in real‐world contexts, while introducing new analytical complexities.
Giovanni M. Di Liberto, Emily Y. J. Ip
wiley +1 more source
Existence of nonoscillatory solutions for fractional neutral differential equations
Applied Mathematics Letters, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Zhou 0005 +2 more
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Local Field Aperiodic Spectral Power Modulated by Deep Brain Stimulation in Parkinson's Disease
Movement Disorders, Volume 41, Issue 5, Page 1163-1172, May 2026.Abstract Background Aperiodic spectral broadband power has been described recently as reflecting Parkinson's disease (PD) severity. It has therefore become an increasing focus of research interest in the context of the new adaptive deep brain stimulation (DBS) approach.
Martin Lamoš +6 more
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