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With Time Delay Of The Partial (often) Functional Differential Equations Oscillation Criterion

Posted on:2009-07-13Degree:MasterType:Thesis
Country:ChinaCandidate:S F ZhangFull Text:PDF
GTID:2190360245460161Subject:Basic mathematics
Abstract/Summary:
This thesis is devoted to studying oscillation for several partial (ordinary) functional differential equations. The oscillation criteria which in this thesis we establish generalize and improve some known results.In chapter 1 we introduce and summarize the background , present situation and main contents of oscillation for functional differential equations.In chapter 2 we study oscillation for a class of second order nonlinear neutral delay differential equationsand obtain sufficient conditions for oscillation.In chapter 3 we study oscillation for a class of oscillation criteria for higher order hyperbolic type differential equations with distribute delay of the formand have some oscillation criteria for this equation.In chapter 4 we establish oscillation theorems for another class of oscillation criteria for higher order nonlinear neutral type differential equations with distribute delay of the form...
Keywords/Search Tags:functional differential equations, oscillation, nonlinear, neutral type, hyperbolie type, higher order
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