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The Existence Of Positive Solutions Of A Class Of Fourth-order Nonlinear Differential Equations

Posted on:2012-05-21Degree:MasterType:Thesis
Country:ChinaCandidate:J SunFull Text:PDF
GTID:2210330368496265Subject:Applied Mathematics
Abstract/Summary:
This thesis is devoted to study the structure and existence of nonoscillatory solutions with respect tothe fourth order nonlinear di?erential equations of the form:(?)whereαandβare both positive constants, and p(t) is also continuous and positive functions on an interval[t0,∞)(t0≥0)and q(t) is too. The paper chie?y establishes su?cient conditions and necessary conditions ofexistence of the positive solutions for the equation under the cases thatα>β> 0 andβ>α> 0.
Keywords/Search Tags:Positive solutions, Lebegue dominated convergence theorem, Schauder-Tychono? fixedpoint theorem, Asymptotic solutions
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