Existence of Nonoscillatory Solution of Second Order Linear Neutral Delay Equation

Consider the neutral delay differential equation with positive and negative coefficients,[formula]wherep∈Rand[formula] Some sufficient conditions for the existence of a nonoscillatory solution of the above equation expressed in terms of ∫∞sQi(s)ds<∞,i=1,2, and certain technical conditions implyin...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 228; no. 2; pp. 436 - 448
Main Authors KULENOVIC, M. R. S, HADZIOMERSPAHIC, S
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 15.12.1998
Elsevier
Subjects
Exact sciences and technology
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
Second order equation
Sufficient condition
Neutral equation
Linear equation
Oscillatory solution
Differential equation
Existence of solution
Delay equation
Non oscillatory solution
Technical condition
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Summary:Consider the neutral delay differential equation with positive and negative coefficients,[formula]wherep∈Rand[formula] Some sufficient conditions for the existence of a nonoscillatory solution of the above equation expressed in terms of ∫∞sQi(s)ds<∞,i=1,2, and certain technical conditions implying thatQ1(s) dominatesQ2(s) are obtained for values ofp≠±1.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1997.6156