Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Zuzana Dosla"'
Publikováno v:
Mathematics, Vol 12, Iss 20, p 3240 (2024)
Globally positive unbounded solutions, with zero derivative at infinity, are here considered for ordinary differential equations involving the generalized Euclidean mean curvature operator. When p≥2, the results highlight an analogy with an auxilia
Externí odkaz:
https://doaj.org/article/ac958e95df15476381463706a6a762ca
Publikováno v:
Abstract and Applied Analysis, Vol 2004, Iss 4, Pp 271-283 (2004)
We study the existence of zero-convergent solutions for the second-order nonlinear difference equation Δ(anΦp(Δxn))=g(n,xn+1), where Φp(u)=|u|p−2u, p>1,{an} is a positive real sequence for n≥1, and g is a positive continuous function on ℕ×
Externí odkaz:
https://doaj.org/article/21b16f7b83f240cd825256679078d0aa
Publikováno v:
Abstract and Applied Analysis, Vol 2010 (2010)
We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. Motivated by the work of Kiguradze (1992), th
Externí odkaz:
https://doaj.org/article/34873465c50c4875be38d710941966fa
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 54, Pp 1-17 (2021)
The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden–Fowler differential equation. In particular, the coexistence of infinitely many oscillatory solutions with unbound
Externí odkaz:
https://doaj.org/article/2a43c75cbb8946cf8575b21aeeb938a0
Decaying positive global solutions of second order difference equations with mean curvature operator
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 72, Pp 1-16 (2020)
A boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are positive on the whole domain and decaying at infinity is examined by pr
Externí odkaz:
https://doaj.org/article/3ef57ce521d845efad035f39603fb6e5
Autor:
Zuzana Dosla, Petr Liška
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 114, Pp 1-18 (2016)
We derive new comparison theorems and oscillation criteria for neutral differential equations of third order with negative term. We show that one can deduce oscillation criteria for the equation with negative term from those for the equation with pos
Externí odkaz:
https://doaj.org/article/819e63de40a14f1d909a511b78137ac2
Autor:
Zuzana Dosla, Mauro Marini
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 54, Pp 1-13 (2016)
We consider the second order differential equation \[ \bigl(a(t)|x^{\prime}|^{\alpha}\operatorname{sgn\,}x^{\prime}\bigr)^{\prime }+b(t)|x|^{\beta}\operatorname{sgn\,}x=0 \] in the super-linear case $\alpha
Externí odkaz:
https://doaj.org/article/e186f6e31af64f4f8f3deefd3f351ed8
Autor:
Zuzana Dosla, Petr Liska
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 38,, Pp 1-13 (2016)
We establish comparison theorems for the oscillation of solutions to third-order neutral differential equations via linear ordinary and delay differential equations. Several applications illustrate the role of the deviating argument in the differe
Externí odkaz:
https://doaj.org/article/42a33294a3324c2f8ce2e8657587cb3a
Autor:
Miroslav Bartusek, Zuzana Dosla
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 55, Pp 1-9 (2014)
We study the oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the
Externí odkaz:
https://doaj.org/article/3165518bd296402b9c014710ba094bcf
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2013, Iss 12, Pp 1-14 (2013)
We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framewo
Externí odkaz:
https://doaj.org/article/98814696db48491abd13a5137c4b51fa