Browsing by Author "Baculíková, Blanka"

Now showing 1 - 4 of 4

Access status: Open Access ,
Monotonic properties of Kneser solutions of second order linear differential equations with delayed argument
(Wydawnictwa AGH, 2025) Baculíková, Blanka
In this paper new monotonic properties of nonoscillatory solutions for second order linear functional differential equations with delayed argument $\textcolor{white}\$y{''}(t)=p(t)y(\tau(t))\textcolor{white}\$$ have been established. New properties are used to introduce criteria for elimination of bounded nonoscillatory solutions for studied equations.
Access status: Open Access ,
Oscillation of even order linear functional differential equations with mixed deviating arguments
(Wydawnictwa AGH, 2022) Baculíková, Blanka
In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations $y^{(n)}(t)=p(t)y(\tau(t))$ with mixed deviating arguments, i.e. when both delayed and advanced parts of $\tau(t)$ are significant. The presented results essentially improve existing ones.
Access status: Open Access ,
Oscillatory criteria for second order differential equations with several sublinear neutral terms
(Wydawnictwa AGH, 2019) Baculíková, Blanka
In this paper, sufficient conditions for oscillation of the second order differential equations with several sublinear neutral terms are established. The results obtained generalize and extend those reported in the literature. Several examples are included to illustrate the importance and novelty of the presented results.
Access status: Open Access ,
Oscillatory criteria via linearization of half-linear second order delay differential equations
(Wydawnictwa AGH, 2020) Baculíková, Blanka; Džurina, Jozef
In the paper, we study oscillation of the half-linear second order delay differential equations of the form $\left(r(t)(y'(t))^{\alpha}\right)'+p(t)y^{\alpha}(\tau(t))=0.$ We introduce new monotonic properties of its nonoscillatory solutions and use them for linearization of considered equation which leads to new oscillatory criteria. The presented results essentially improve existing ones.