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一类非连续函数积分和不等式中未知函数估计的证明过程

Proof Process of Unknown Function Estimation in a Class of Discontinuous Integral Function & Inequalities
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摘要 利用数学归纳法和积分不等式技巧,给出一类具有时滞的非连续函数积分和不等式中未知函数估计的证明过程。 The mathematical induction and integral inequalities are applied so as to provide the proof process for unknown function estimation in a class of discontinuous integral function and integral inequalities methodology.
机构地区 河池学院数学系
出处 《广西科学院学报》 2009年第3期151-153,共3页 Journal of Guangxi Academy of Sciences
基金 广西自然科学基金项目(200991265) 广西教育厅科学研究项目(200707MS112) 广西教改项目(200710961) 河池学院应用数学重点学科项目(200725) 自然科学研究项目(2006N001) 重点课程<数学建模>(20089)教改项目2006E006和2007E006资助
关键词 不等式 积分和不等式 未知函数估计 inequalities,integro-sum inequalities, estimation of unknown function
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参考文献8

  • 1Agarwal R P,Deng S,Zhang W. Generalization of a retarded Gronwall-like inequality and its applications [J]. Appl Math Comput, 2005,165 : 599-612.
  • 2Bellman R. The stability of solutions of linear differential equations[J]. Duke Math J, 1943,10 : 643-647.
  • 3Borysenko S D. About asymptotical stability on linear approximation of the systems with impulse influence [J]. Ukra in Mat Zh, 1983,35 (2) : 144-150.
  • 4Borysenko S D,Ciarletta M ,Iovane G. Integro-sum inequalities and motion stability of systems with impulse perturbations[J]. Nonlnear Anal, 2005,62 : 417-428.
  • 5Gllo A,Piceirilo A M. About new analogies of Gronwall-Bellman-Bihari type inequalities for discontinuous functions and estimated solutions for impulsive differential systems[J]. Nonlnear Anal, 2007, 67:1550-1559.
  • 6Iovane G. Some new integral inequalities of BellmanBihari type with delay for discontinuous functions[J]. Nonlnear Anal, 2007,66 : 498-508.
  • 7Wang W S. A generalized retarded Gronwall-like inequality in two variables and applications to BVP[J]. Appl Math Comput, 2007,191 ( 1 ) : 144-154.
  • 8王五生.一个推广的具有双重和的离散不等式及其应用(英文)[J].四川大学学报(自然科学版),2007,44(4):733-738. 被引量:5

二级参考文献9

  • 1Agarwal R P,O'Regan D.Infinite interval problems for differential,difference,and integral equations[M].Dordrecht:Kluwer Academic,2001.
  • 2Elaydi S.An introduction to difference equations[M].New York:Springer-Verlag,2005.
  • 3Hull T E,Luxemburg W A J.Numerical methods and existence therom for ordinary differential equations[J].Numer Math,1960,2:30.
  • 4Pachpatte B G,Deo S G.Stability of discrete time systems with retarded argument[J].Utilitas Math,1973,4:15.
  • 5Willett D,Wong J S W.On the discrete analogues of some generalizations of Gronwall's inequality[J].Monatsh Math,1964,69:362.
  • 6Pachpatte B G.On some fundamental integral inequalities and their discrete analogues[J].J Ineq Pure Appl Math,2001,2(2):Article 15.
  • 7Dafermos C M.The second law of thermodynamics and stability[J].Arch Rat Mech Anal,1979,70:167.
  • 8Pang P Y H,Agarwal R P.On an integral inequality and discrete analogue[J].J Math Anal Appl,1995,194:569.
  • 9Pachpatte B G.Bounds on certain integral inequalities[J].J Ineq Pure Appl Math,2002,3(3):Article 47.

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