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

Roman Koplatadze; N. L. Partsvania; Ioannis P. Stavroulakis

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Displaying similar documents to “Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments”

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.

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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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.

Oscillation criteria for second order nonlinear perturbed differential equations.

Remili, M. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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

Zuzana Pátíková (2007)

Mathematica Bohemica

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We establish Hartman-Wintner type criteria for the half-linear second order differential equation ${(r (t) Φ (x^{'}))}^{'} + c (t) Φ (x) = 0, Φ (x) = {| x |}^{p - 2} x, p > 1,$ where this equation is viewed as a perturbation of another equation of the same form.