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一类积分方程解的收敛性定理

The Convergence Theorems of Solutions for a Class of Integral Equations
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摘要 研究了一类与传染病模型有关的积分方程,在已知其解存在且唯一的基础上,利用一个新的积分不等式证明了这类方程解的一个收敛性定理. In this paper is studied a class of integral equation, the basis of existence and uniqueness of solution for this equation, class of integral equations by a new integral inequality. which have a model of infectious disease. On the convergence theorems of solutions for this
作者 任崇勋
出处 《琼州学院学报》 2012年第2期1-3,共3页 Journal of Qiongzhou University
关键词 积分方程 积分不等式 收敛性定理 integral equation solution integral inequality convergence theorems
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参考文献5

  • 1俞元洪.一类积分方程解的存在唯一性定理[J].琼州学院学报,2009,16(2):1-3. 被引量:1
  • 2G. Gripenberg, On some epidemic models. Quart. Appl. Math. 39(1981 ) :317 -327.
  • 3M. Medved, A new approach to an analysis of Henry type integral inequalities and their Bihari type versions. J. Math. Anal. Ap- pl. 214(1997) :349 -366.
  • 4M. Medved, Integral inequalities and global solutions of semilinear evolution equations, J. Math. Anal. Appl. 267 (2002) :643 - 650.
  • 5B.G. Pachpatte, On a new inequality suggested by the study of certain epidemic models. J. Math. Anal. Appl. 195 ( 1995 ) :638 -644.

二级参考文献1

  • 1I. Bihari. A generalization of a lemma of bellman and its application to uniqueness problems of differential equations[J] 1956,Acta Mathematica Academiae Scientiarum Hungaricae(1):81~94

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