Results 71 to 80 of about 2,136 (215)

A nonoscillation theorem for Emden–Fowler equations

open access: yesJournal of Mathematical Analysis and Applications, 2002
The author proves a nonoscillation theorem for the second-order Emden-Fowler equation \[ \quad y''+a(x)| y| ^{\gamma-1}y=0, \quad \gamma>0, \tag{E} \] where \(a(x)\) is positive and absolutely continuous on \((0,\infty)\). Let \(\psi(x)=x^{(\gamma+3)/2+\delta}\) where \(\delta\) is any positive number. The following theorem is proved: Let \(\gamma \not
openaire   +1 more source

Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations

open access: yesElectronic Journal of Differential Equations, 2016
We investigate oscillatory properties of even-order half-linear differential equations and conditions for negativity of the associated energy functional.
Ondrej Dosly, Vojtech Ruzicka
doaj  

OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2015
In this work, we investigate the oscillation and nonoscillation of a class of second order neutral di erential equations with piecewise constant arguments of the form: ((r(t)(y(t) + p(t)y(t-1))')' + q(t)y([t-1]) = f(t); where [ ] denotes the greatest ...
A. K. TRIPATHY, R. R. MOHANTA
doaj  

Some generalizations of Calabi compactness theorem [PDF]

open access: yes, 2011
In this paper we obtain generalized Calabi-type compactness criteria for complete Riemannian manifolds that allow the presence of negative amounts of Ricci curvature.
Bianchini, Bruno   +2 more
core   +1 more source

Investigation of the Oscillatory Behavior of the Solutions of a Class of Third-Order Delay Differential Equations with Several Terms

open access: yesAxioms
In this paper, we address the study of the oscillatory properties of the solutions of a class of third-order delay differential equations. The primary objective of this study is to provide new relationships that can be employed to obtain criteria for ...
Asma Al-Jaser   +3 more
doaj   +1 more source

On Nonoscillation of Systems of Delay Equations

open access: yesFunkcialaj Ekvacioj, 2011
The paper investigates nonnegativity of all entries of the fundamental matrix for the system of linear delay differential equations $\dot{X}$(t)+$\sum_{k=1}^m$ Ak(t)X(hk(t))=0 in the case when the non-diagonal entries of matrices Ak are nonpositive.
Berezansky, L.   +2 more
openaire   +2 more sources

Optimized multidimensional nonoscillating deconvolution

open access: yesJournal of Computational and Applied Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morháč, M., Matoušek, V., Kliman, J.
openaire   +2 more sources

Qualitative properties of a third-order differential equation with a piecewise constant argument

open access: yesElectronic Journal of Differential Equations, 2017
We consider a third order differential equation with piecewise constant argument and investigate oscillation, nonoscillation and periodicity properties of its solutions.
Huseyin Bereketoglu   +2 more
doaj  

On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term

open access: yesDiscrete Dynamics in Nature and Society, 2008
This paper is concerned with nonoscillation of second-order neutral delay differential equation with forcing term. By using contraction mapping principle, some sufficient conditions for the existence of nonoscillatory solution are established.
Jin-Zhu Zhang   +5 more
doaj   +1 more source

Oscillation and global asymptotic stability of a neuronic equation with two delays

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2008
In this paper we study the oscillatory and global asymptotic stability of a single neuron model with two delays and a general activation function. New sufficient conditions for the oscillation and nonoscillation of the model are given.
Hassan A. El-Morshedy, B. M. Elmatary
doaj   +1 more source

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