Results 71 to 80 of about 2,136 (215)
A nonoscillation theorem for Emden–Fowler equations
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
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]
In this work, we investigate the oscillation and nonoscillation of a class of second order neutral dierential 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]
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
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
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
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
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
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
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

