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

Similarity:

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

Similarity:

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

Lu, Youmin (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

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

Ondřej Došlý, Jaroslav Jaroš (2003)

Archivum Mathematicum

Similarity:

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.

Differential equations at resonance

Donal O'Regan (1995)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

New existence results are presented for the two point singular “resonant” boundary value problem $\frac{1}{p} {(p y^{'})}^{'} + r y + λ_{m} q y = f (t, y, p y^{'})$ a.eȯn $[0, 1]$ with $y$ satisfying Sturm Liouville or Periodic boundary conditions. Here $λ_{m}$ is the ${(m + 1)}^{s t}$ eigenvalue of $\frac{1}{p q} [{(p u^{'})}^{'} + r p u] + λ u = 0$ a.eȯn $[0, 1]$ with $u$ satisfying Sturm Liouville or Periodic boundary data.