Results 31 to 40 of about 5,415,402 (276)

Oscillation of second-order half-linear difference equations

Applied Mathematics Letters, 2000
The authors obtain some new oscillation criteria for a second-order half-linear difference equation. The techniques based on Riccati type difference inequality are developed and examples, which illustrate the applications of the results, are also included.
Ethiraju Thandapani, K. Ravi
openaire   +3 more sources

Oscillation criteria for fourth order half-linear differential equations [PDF]

Archivum Mathematicum, 2020
In this paper, the following fourth-order differential equation \[(|y^{\prime\prime}|^{\alpha}\operatorname{sgn}(y^{\prime\prime}))^{\prime\prime}+q(t)|y|^{\alpha}\operatorname{sgn}(y)=0,\quad t\geq a>0\] is considered, where \(\alpha\) is a positive constant and \(q:[a,\infty)\to(0,\infty)\) is a continuous function.
Jaroš, Jaroslav, Takaŝi, Kusano, Tanigawa, Tomoyuki   +2 more
openaire   +1 more source

Modified Riccati technique for half-linear differential equations with delay

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
doaj   +1 more source

An oscillation criterion for nonhomogeneous half-linear differential equations

Applied Mathematics Letters, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan-Tong Li, Sui-Sun Cheng
openaire   +2 more sources

Summation inequalities and half-linear difference equations

Journal of Mathematical Analysis and Applications, 2005
The solutions to the equation under consideration can be divided in some classes of various asymptotic behaviours. The belonging to them can be described by convergence or divergence of a given doubly series of coefficients. The obtained results are completing certain previous ones mentioned in references.
M. CECCHI, Z. DOSLA, MARINI, MAURO, I. VRKOC   +3 more
openaire   +5 more sources

Oscillation of half-linear differential equations with mixed type of argument

Electronic Journal of Qualitative Theory of Differential Equations, 2022
This paper is devoted to the study of the oscillatory behavior of half-linear functional differential equations with deviating argument of the form \begin{equation*}\label{Eabs} \left(r(t)(y'(t))^{\alpha}\right)'=p(t)y^{\alpha}(\tau(t)). \tag{$E$} \end{
Jozef Džurina, Blanka Baculíková
doaj   +1 more source

Oscillation criteria for perturbed half-linear differential equations

Electronic Journal of Qualitative Theory of Differential Equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
doaj   +1 more source

Half-linear equations and characteristic properties of the principal solution

Journal of Differential Equations, 2005
The authors study the characteristic properties of the principal solution for the half-linear differential equation \[ (a(t)\Phi(x'))'+b(t)\Phi(x)=0. \] Using the reciprocity principle, it is shown that the solutions of the considered equation have properties similar to those of linear equations.
M. CECCHI, Z. DOSLA, MARINI, MAURO
openaire   +2 more sources

Microbiome−host proteostasis crosstalk—An emerging perspective on mechanisms and interventions toward healthy longevity

FEBS Letters, EarlyView.
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley   +1 more source

Oscillation and non-oscillation of half-linear differential equations with coeffcients determined by functions having mean values

Open Mathematics, 2018
The paper belongs to the qualitative theory of half-linear equations which are located between linear and non-linear equations and, at the same time, between ordinary and partial differential equations.
Hasil Petr, Veselý Michal
doaj   +1 more source