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Browsing by Subject "second-order"

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    Item type:Article, Access status: Open Access ,
    Oscillatory behavior of second-order damped differential equations with a superlinear neutral term
    (Wydawnictwa AGH, 2020) Tunç, Ercan; Özdemir, Osman
    This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion. Examples illustrating the results are provided and some suggestions for further research are indicated.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Oscillatory results for second-order noncanonical delay differential equations
    (Wydawnictwa AGH, 2019) Džurina, Jozef; Jadlovská, Irena; Stavroulakis, Ioannis P.
    The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation $\left(r(t)\left(y'(t)\right)^\gamma\right)'+q(t)y^\gamma(\tau(t))= 0, \quad t\geq t_0,$ under the condition $\int_{t_0}^{\infty}\frac{\text{d} t}{r^{1/\gamma}(t)} \lt \infty.$ Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.