Results 31 to 40 of about 2,861,683 (201)

On Nonoscillatory Solutions of Three Dimensional Time-Scale Systems [PDF]

open access: yes, 2019
In this article, we classify nonoscillatory solutions of a system of three-dimensional time scale systems. We use the method of considering the sign of components of such solutions. Examples are given to highlight some of our results.
Hassan, Taher   +5 more
core   +1 more source

Nonexistence of Unbounded Nonoscillatory Solutions of Partial Difference Equations

open access: yesJournal 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.
openaire   +2 more sources

Existence of Nonoscillatory Solutions of First‐Order Neutral Differential Equations [PDF]

open access: yesAbstract 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
openaire   +4 more sources

Asymptotic behaviour of nonoscillatory solutions of the fourth order differential equations [PDF]

open access: yes, 2002
summary:In the paper the fourth order nonlinear differential equation $y^{(4)}+(q(t)y^{\prime })^{\prime }+r(t)f(y)=0$, where $q\in C^{1}( [0,\infty ))$, $r\in C^{0}( [0,\infty ))$, $f\in C^{0}(R)$, $r\ge 0$ and $f(x)x>0$ for $x\ne 0$ is considered.
Sobalová, Monika
core   +1 more source

On Some Conjectures on the Nonoscillatory Solutions of Neutral Differential Equations

open access: yesJournal of Mathematical Analysis and Applications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bainov, D., Petrov, V.
openaire   +1 more source

Comparison theorems for fourth order differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
This paper establishes an apparently overlooked relationship between the pair of fourth order linear equations yiv−p(x)y=0 and yiv+p(x)y=0, where p is a positive, continuous function defined on [0,∞).
Garret J. Etgen, Willie E. Taylor
doaj   +1 more source

WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2018
In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
doaj   +1 more source

Trench's Perturbation Theorem for Dynamic Equations

open access: yesDiscrete Dynamics in Nature and Society, 2007
We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a linear perturbation of this equation and give conditions on the perturbation that guarantee that the perturbed equation is also nonoscillatory and has ...
Martin Bohner, Stevo Stevic
doaj   +1 more source

Transdiagnostic patterns of electroencephalography (EEG)‐derived aperiodic activity across schizophrenia‐spectrum, bipolar, and depressive disorders: A systematic review

open access: yesPsychiatry and Clinical Neurosciences, EarlyView.
Aperiodic electroencephalographic activity is proposed as a scalable marker of cortical population dynamics relevant to excitation–inhibition balance. However, it remains unclear whether aperiodic parameters represent disorder‐specific abnormalities or context‐sensitive indices of clinically relevant brain states.
Gia Han Le   +8 more
wiley   +1 more source

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