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一类积分方程解的存在唯一性定理 被引量:1

Existence and Convergence Theorems of Solutions for a Class of Integral Equations
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摘要 证明了一类与传染病模型有关的积分方程解的唯一性、整体存在性和当时间趋于无穷时收敛到零的充分条件.利用Banach不动点定理证明了存在性结果,利用一个新的积分不等式证明了收敛性结果. Sufficient conditions for the uniqueness, global existence and for the Convergence to zero when of solutions for a class of integral equations related to an epidemic model are proved. The existence result is proved by applying the Banach fixed point theorem and for the proof of convergence result a new type of integral incquality is used.
作者 俞元洪
出处 《琼州学院学报》 2009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 传染病模型 integralequation integral inequality epidemic model
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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

同被引文献4

  • 1G. Gripenberg, On some epidemic models. Quart. Appl. Math. 39(1981 ) :317 -327.
  • 2M. 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.
  • 3M. Medved, Integral inequalities and global solutions of semilinear evolution equations, J. Math. Anal. Appl. 267 (2002) :643 - 650.
  • 4B.G. Pachpatte, On a new inequality suggested by the study of certain epidemic models. J. Math. Anal. Appl. 195 ( 1995 ) :638 -644.

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