On oscillatory solutions of fourth order ordinary differential equations

Oleg Palumbíny

Displaying similar documents to “On oscillatory solutions of fourth order ordinary differential equations”

Fixed point analysis for non-oscillatory solutions of quasi linear ordinary differential equations

Luisa Malaguti, Valentina Taddei (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The paper deals with the quasi-linear ordinary differential equation ${(r (t) ϕ (u^{'}))}^{'} + g (t, u) = 0$ with $t \in [0, \infty)$ . We treat the case when $g$ is not necessarily monotone in its second argument and assume usual conditions on $r (t)$ and $ϕ (u)$ . We find necessary and sufficient conditions for the existence of unbounded non-oscillatory solutions. By means of a fixed point technique we investigate their growth, proving the coexistence of solutions with different asymptotic behaviors. The results generalize previous ones due to Elbert–Kusano,...

Asymptotic properties of solutions of the $n$ th order differential equation with delayed argument

Marián Rusnák, Vincent Šoltés (1989)

Mathematica Slovaca

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Oscillation and nonoscillation of Emden-Fowler type equations of second order

Alexander Lomtatidze (1996)

Archivum Mathematicum

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Oscillation and nonoscillation criteria are established for the equation $u^{''} + {p (t) | u |}^{α} {| u^{'} |}^{1 - α} sgn u = 0,$ where $α \in] 0, 1]$ , and $p : [0, + \infty [\to [0, + \infty [$ is a locally summable function.

Displaying similar documents to “On oscillatory solutions of fourth order ordinary differential equations”

Fixed point analysis for non-oscillatory solutions of quasi linear ordinary differential equations

Asymptotic properties of solutions of the n th order differential equation with delayed argument

Oscillation and nonoscillation of Emden-Fowler type equations of second order

Asymptotic properties of solutions of the $n$ th order differential equation with delayed argument