Results 151 to 160 of about 11,648,998 (193)

Properties of Kneser’s Solution for Half-Linear Third Order Neutral Differential Equations

Acta Mathematica Hungarica, 2017
The authors consider the third-order neutral differential equation of advanced type \[ (a(t)(b(t)(z'(t))^\alpha)')'+q(t)y^\alpha(t)=0, \] where \(\alpha\) is a ratio of odd positive integers, \(z(t)=y(t)+p(t)y(\sigma(t))\), \(\sigma(t)\geq t\), \(a,b,\sigma,q\) are continuous and positive functions, and some other hypotheses are assumed.
E Thandapani, B Baculíková
exaly   +5 more sources

Weight functions on the Kneser graph and the solution of an intersection problem of Sali

Combinatorica, 1993
Let \(X,Y\) be disjoint finite sets. The family \({\mathcal F}=\{(F,G)\} \subset 2^ X \times 2^ Y\) is \((s,t,u)\)-intersecting if every pair \((F,G)\), \((F',G') \in {\mathcal F}\) satisfies \(| F \cap F' | \geq s\), \(| G \cap G' | \geq t\), and \(| F \cap F' |+| G \cap G' | \geq u\). The paper generalizes a result of Sali and gives exact upper bound
P. Frankl, N. Tokushige
semanticscholar   +3 more sources

Asymptotic Properties of Kneser Solutions to Third-Order Delay Differential Equations

Journal of Applied Analysis and Computation, 2022
Summary: The aim of this paper is to extend and complete the recent work by \textit{J. R. Graef} et al. [J. Appl. Anal. Comput. 11, No. 5, 2459--2472 (2021; Zbl 07907285)] analyzing the asymptotic properties of solutions to third-order linear delay differential equations.
Martin Bohner, John R. Graef, Irena Jadlovská   +2 more
exaly   +2 more sources

Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory [PDF]

Applied Sciences (Switzerland), 2021
The objective of this study was to improve existing oscillation criteria for delay differential equations (DDEs) of the fourth order by establishing new criteria for the nonexistence of so-called Kneser solutions. The new criteria are characterized by taking into account the effect of delay argument.
Haifa Bin Jebreen, Ali Muhib, Osama Moaaz   +2 more
exaly   +3 more sources

Izobov’s Problem on Kneser Solutions of Singular Nonlinear Differential Equations of the Second and Third Order

Differential Equations, 2020
The differential equation \[ y^{(n)}(x)=p(x)|y(x)|^k \operatorname{sign} y(x), \ \ x\geq0, \ \ n\in N, \ \ n\geq2,\ \ k\in(0,1).\tag{1} \] where ...
I. Astashova
semanticscholar   +4 more sources

On Kneser solutions of nonlinear ordinary differential equations

Doklady Mathematics, 2013
A. Kon'kov
semanticscholar   +2 more sources

Kneser Solutions of Fourth-Order Trinomial Delay Differential Equations

Applied Mathematics Letters, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Józef Dzurina, Irena Jadlovská, B Baculíková   +2 more
exaly   +2 more sources

ASYMPTOTIC BEHAVIOR OF KNESER’S SOLUTION FOR SEMI-CANONICAL THIRD-ORDER HALF-LINEAR ADVANCED NEUTRAL DIFFERENTIAL EQUATIONS

Functional Differential Equations, 2022
In this paper, we study the properties of positive solutions of the thirdorder neutral differential equations with advanced argument of the form (p(t)(q(t)(z′(t))α)′)′ + f(t)xα(τ (t)) = 0, where z(t) = x(t) + g(t)(x(σ(t))). First we obtain conditions for
K. Saranya, V. Piramanantham, E. Thandapani, E. Tunç   +3 more
semanticscholar   +1 more source

Remark on Properties of Kneser Solutions for Third-Order Neutral Differential Equations

Applied Mathematics Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Józef Dzurina, B Baculíková
exaly   +2 more sources

Properties of Kneser Solutions for Third-Order Differential Equations

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Józef Dzurina, B Baculíková
exaly   +3 more sources