An oscillation theorem for higher order nonhomogeneous superlinear differential equations.

Li, Wantong; Cheng, Sui Sun

Displaying similar documents to “An oscillation theorem for higher order nonhomogeneous superlinear differential equations.”

On a variational problem arising in crystallography

Alexander J. Zaslavski (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We study a variational problem which was introduced by Hannon, Marcus and Mizel [ (2003) 145–149] to describe step-terraces on surfaces of so-called “unorthodox” crystals. We show that there is no nondegenerate intervals on which the absolute value of a minimizer is $π / 2$ identically.

On a certain boundary value problem of the third order

Greguš, Michal

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On the asymptotic representation of the solutions to the fourth general Painlevé equation.

Lu, Youmin (2003)

International Journal of Mathematics and Mathematical Sciences

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A singular version of Leighton's comparison theorem for forced quasilinear second order differential equations

Ondřej Došlý, Jaroslav Jaroš (2003)

Archivum Mathematicum

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We extend the classical Leighton comparison theorem to a class of quasilinear forced second order differential equations $(r (t) | x^{'} |^{α - 2} x^{'})^{'} + c (t) {| x |}^{β - 2} x = f (t), 1 < α \leq β, t \in I = (a, b), (*)$ where the endpoints $a$ , $b$ of the interval $I$ are allowed to be singular. Some applications of this statement in the oscillation theory of (*) are suggested.