The asymptotic properties of the solutions of the -th order neutral differential equations
Lacková, Dáša
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Lacková, Dáša
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Monika Sobalová (2002)
Archivum Mathematicum
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In the paper the fourth order nonlinear differential equation , where , , , and for is considered. We investigate the asymptotic behaviour of nonoscillatory solutions and give sufficient conditions under which all nonoscillatory solutions either are unbounded or tend to zero for .
Said R. Grace (1999)
Czechoslovak Mathematical Journal
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Sufficient conditions are presented for all bounded solutions of the linear system of delay differential equations to be oscillatory, where , , . Also, we study the oscillatory behavior of all bounded solutions of the linear system of neutral differential equations where , and are real constants and .
Yeter Ş. Yilmaz, Ağacik Zafer (2001)
Czechoslovak Mathematical Journal
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The paper is concerned with oscillation properties of -th order neutral differential equations of the form where is a real number with , , , with and . Sufficient conditions are established for the existence of positive solutions and for oscillation of bounded solutions of the above equation. Combination of these conditions provides necessary and sufficient conditions for oscillation of bounded solutions of the equation. Furthermore, the results are generalized to equations...