Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Simona Fisnarova"'
Autor:
Simona Fišnarová, Zuzana Pátíková
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 71, Pp 1-22 (2019)
We study perturbations of the generalized conditionally oscillatory half-linear equation of the Riemann–Weber type. We formulate new oscillation and nonoscillation criteria for this equation and find a perturbation such that the perturbed Riemann
Externí odkaz:
https://doaj.org/article/492eea9485db42869523a8b70751f78b
Autor:
Simona Fišnarová, Zuzana Pátíková
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 69, Pp 1-12 (2017)
We establish new oscillation and nonoscillation criteria for the perturbed generalized Riemann–Weber half-linear equation with critical coefficients \begin{equation*} (\Phi(x'))'+\left(\frac{\gamma_p}{t^p}+\sum_{j=1}^n\frac{\mu_p}{t^p\mbox{Log}_j^2
Externí odkaz:
https://doaj.org/article/416f4c1643ef4d3ab4f40d92454084a9
Autor:
Zuzana Pátíková, Simona Fišnarová
Publikováno v:
Mathematics, Vol 9, Iss 3, p 235 (2021)
We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equatio
Externí odkaz:
https://doaj.org/article/65d10bfdab9a475699f7a0dd644a88f4
Autor:
Simona Fišnarová
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 51, Pp 1-10 (2016)
We study the half-linear neutral differential equation \begin{equation*} \Bigl[r(t)\Phi(z'(t))\Bigr]'+c(t)\Phi(x(\sigma(t)))=0, \qquad z(t)=x(t)+b(t)x(\tau(t)), \end{equation*} where $\Phi(t)=|t|^{p-2}t$. We present new oscillation criteria for this
Externí odkaz:
https://doaj.org/article/5f1e0c3958cb4afda970f9a3d61c6a7d
Autor:
Simona Fišnarová, Robert Marik
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 64, Pp 1-14 (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 diff
Externí odkaz:
https://doaj.org/article/eafc57a558ef4decb919541cce6947a4
Autor:
Simona Fišnarová, Robert Marik
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 63, Pp 1-15 (2012)
In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Externí odkaz:
https://doaj.org/article/102b10f6e7b6446dacce51d1686dc281
Autor:
Simona Fišnarová
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2005, Iss 13, Pp 1-21 (2005)
Oscillatory properties of even order self-adjoint linear differential equations in the form $$ \sum_{k=0}^{n} (-1)^k\nu_k\left(\frac{y^{(k)}}{t^{2n-2k-\alpha}}\right)^{(k)} =(-1)^m\left(q_m(t)y^{(m)}\right)^{(m)},\; \nu_n:=1, $$ where $m \in \{0, 1
Externí odkaz:
https://doaj.org/article/56a5c03978504a12800ce742d1bab67d
Autor:
Simona Fišnarová, Robert Mařík
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria f
Externí odkaz:
https://doaj.org/article/e61c85e2db4e40e49d1eeacebb9817b8
Autor:
Simona Fišnarová, Robert Mařík
Publikováno v:
Abstract and Applied Analysis, Vol 2011 (2011)
We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical
Externí odkaz:
https://doaj.org/article/ed557cafcd574991940de0941646f118
Autor:
Ondřej Došlý, Simona Fišnarová
Publikováno v:
Abstract and Applied Analysis, Vol 2011 (2011)
We study perturbations of the nonoscillatory half-linear differential equation (r(t)Φ(x'))'+c(t)Φ(x)=0, Φ(x):=|x|p-2x, p>1. We find explicit formulas for the functions r̂, ĉ such that the equation [(r(t)+λr̂(t))Φ(x')]'+[c(t)+μĉ(t)]Φ(x)=0
Externí odkaz:
https://doaj.org/article/e4b743b667cc4860be43883508635da9