Some oscillatory properties of the perturbed linear differential equations of order $n$

Jozef Moravčík

Displaying similar documents to “Some oscillatory properties of the perturbed linear differential equations of order $n$ ”

On oscillatory solutions of third order differential equation with quasiderivatives.

Bartušek, Miroslav (1999)

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

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On the oscillatory behaviour of certain third order nonlinear differential equation

Michal Greguš (1992)

Archivum Mathematicum

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In this paper we shall study some oscillatory and nonoscillatory properties of solutions of a nonlinear third order differential equation, using the results and methods of the linear differential equation of the third order.

On the oscillation of a class of linear homogeneous third order differential equations

N. Parhi, P. Das (1998)

Archivum Mathematicum

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In this paper we have considered completely the equation $y^{'''} + a (t) y^{''} + b (t) y^{'} + c (t) y = 0, (*)$ where $a \in C^{2} ([σ, \infty), R)$ , $b \in C^{1} ([σ, \infty), R)$ , $c \in C ([σ, \infty), R)$ and $σ \in R$ such that $a (t) \leq 0$ , $b (t) \leq 0$ and $c (t) \leq 0$ . It has been shown that the set of all oscillatory solutions of (*) forms a two-dimensional subspace of the solution space of (*) provided that (*) has an oscillatory solution. This answers a question raised by S. Ahmad and A. C. Lazer earlier.

Displaying similar documents to “Some oscillatory properties of the perturbed linear differential equations of order n ”

On oscillatory solutions of third order differential equation with quasiderivatives.

On the oscillatory behaviour of certain third order nonlinear differential equation

On the oscillation of a class of linear homogeneous third order differential equations

Displaying similar documents to “Some oscillatory properties of the perturbed linear differential equations of order $n$ ”