Displaying similar documents to “Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations”

Property (A) of n -th order ODE’s

Jozef Džurina (1997)

Mathematica Bohemica

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The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the ordinary differential equation L_nu(t)+p(t)u(t)=0.

Symmetrized and continuous generalization of transversals

Martin Kochol (1996)

Mathematica Bohemica

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The theorem of Edmonds and Fulkerson states that the partial transversals of a finite family of sets form a matroid. The aim of this paper is to present a symmetrized and continuous generalization of this theorem.

Asymptotic behaviour of solutions of some linear delay differential equations

Jan Čermák (2000)

Mathematica Bohemica

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In this paper we investigate the asymptotic properties of all solutions of the delay differential equation y’(x)=a(x)y((x))+b(x)y(x),      xI=[x0,). We set up conditions under which every solution of this equation can be represented in terms of a solution of the differential equation z’(x)=b(x)z(x),      xI and a solution of the functional equation |a(x)|((x))=|b(x)|(x),      xI.