BulDML at Institute of Mathematics and Informatics >
IMI Periodicals >
Pliska Studia Mathematica Bulgarica >
2012 Volume 21 >

Please use this identifier to cite or link to this item:

Title: Oscillation Properties of Some Functional Fourth Order Ordinary Differential Equations
Authors: Petrova, Zornitza
Keywords: Oscillation, functional ordinary differential equation
eventually positive solution
eventually negative solution
Issue Date: 2012
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 307p-314p
Abstract: In this paper are considered oscillation properties of some classes of functional ordinary differential equations, namely equations of the type ziv(t) + mz′′(t) + g(z(t), z′(t), z′′(t), z′′′(t)) +nXi=1_i(t)z(t − i) = f(t), where m > 0 is constant, f(t) 2 C([T,1);R), T _ 0 is a large enough constant, g(z, _, _, _) 2 C(R4;R), _i(t) 2 C([0,1); [0,1)), 8 i = 1, n, n 2 N and {i}n i=1 are nonnegative constants. As a main result of this work we derive a sufficient condition for the distribution of the zeros of the above equations. Furthermore we discuss the complexity of the oscillation behavior of such equations and its relation to some properties of the corresponding solutions. Finally, we comment the oscillation behavior of a neutral fourth order ordinary differential equation, which appears in two papers of Ladas and Stavroulakis, as well as in a paper of Grammatikopoulos et al.
Description: 2010 Mathematics Subject Classification: 34A30, 34A40, 34C10.
ISSN: 0204-9805
Appears in Collections:2012 Volume 21

Files in This Item:

File Description SizeFormat
Pliska-21-2012-307-314.pdf1.09 MBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Valid XHTML 1.0!   Creative Commons License