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Explicit Bounds on Solutions of Some Retarded Integral Inequalities and Their Applications

Author: LiZhiHong
Tutor: TanManChun
School: Jinan University
Course: Basic mathematics
Keywords: Retarded Integral Inequality Delay Integral Equations Ouyang inequality n independent variables Boundedness of Solutions Nonlinear
CLC: O178
Type: Master's thesis
Year: 2008
Downloads: 38
Quote: 0
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Abstract


Retarded Integral Inequality in the theory of differential equations and applications play an important role in recent years , more and more of these inequalities are found , delay integral inequalities explicit boundary problem caused great attention of many scholars who seek new tools , the method is still our urgent task this paper Ou-Iang integral inequality is established based on several types of delay integral inequalities , which the unknown function is derived explicit community, discuss their use in solving a number of integral equations and differential equations aspects of the application and concluded improve and generalize some related results in the literature paper is divided into three chapters , the first chapter some related results through further promotion of the delay integral inequality by R was R n < / sup> on Ou-lang nonlinear delay integral inequalities ; second chapter we further introduce a positive continuous diminished function ω (t), and ω (t)> 0 (t> 0), has been a class new, more extensive nonlinear Delay integral Inequalities explicit community, discuss their relationship with Ouyang inequality , and illustrates them in a class of bounded delay integral equations in terms of the wide application ; section chapters are based on the previous two chapters , the normal number of c into x, y of the function a (x) b (y), has been a class of R 2 on the delay integral inequalities .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Inequality and other
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