Hartman-Wintner type criteria for half-linear second order differential equations

Zuzana Pátíková

Displaying similar documents to “Hartman-Wintner type criteria for half-linear second order differential equations”

A remark on the half-linear extension of the Hartman-Wintner theorem.

Došlý, Ondřej (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Conjugacy and disconjugacy criteria for second order linear ordinary differential equations

T. Chantladze, Alexander Lomtatidze, Douglas Ugulava (2000)

Archivum Mathematicum

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Conjugacy and disconjugacy criteria are established for the equation $u^{''} + p (t) u = 0,$ where $p :] - \infty, + \infty [\to] - \infty, + \infty [$ is a locally summable function.

Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments

Roman Koplatadze, N. L. Partsvania, Ioannis P. Stavroulakis (2003)

Archivum Mathematicum

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Sufficient conditions are established for the oscillation of proper solutions of the system $\begin{matrix} u_{1}^{'} (t) & = p (t) u_{2} (σ (t)), \\ u_{2}^{'} (t) & = - q (t) u_{1} (τ (t)), \end{matrix}$ where $p, q : R_{+} \to R_{+}$ are locally summable functions, while $τ$ and $σ : R_{+} \to R_{+}$ are continuous and continuously differentiable functions, respectively, and $lim_{t \to + \infty} τ (t) = + \infty$ , $lim_{t \to + \infty} σ (t) = + \infty$ .

On positive solutions of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1995)

Annales Polonici Mathematici

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The differential equation of the form ${(q (t) k (u) {(u^{'})}^{a})}^{'} = f (t) h (u) u^{'}$ , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.