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The Existence of Positive Almost Periodic Type Solutions for Some Nonlinear Delay Integral Equations 被引量：3

The Existence of Positive Almost Periodic Type Solutions for Some Nonlinear Delay Integral Equations
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摘要 This paper presents the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations, by using a fixed point theorem in the mixed monotone operators （Ma, Y.： On a class of mixed monotone operators and a kind of two-point bounded value problem. Indian J. Math., 41（2）, 211-220 （1999]]. Some known results are operators. This paper presents the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations, by using a fixed point theorem in the mixed monotone operators （Ma, Y.： On a class of mixed monotone operators and a kind of two-point bounded value problem. Indian J. Math., 41（2）, 211-220 （1999]]. Some known results are operators.
作者 Bin XU Rong YUAN
机构地区 Department of Mathematics Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第6期1351-1360,共10页 数学学报（英文版）
基金 the National Natural Science Foundation of China (10371010) and RFDP
关键词 almost periodicity delay integral equation mixed monotone operators almost periodicity, delay integral equation, mixed monotone operators
分类号 O175.5 [理学—基础数学]
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参考文献18

  • 1Ait Dads, E, Ezzinbi, K.: Existence of positive pseudo-almost-periodic solution for some nonlinear infinite delay integral equations arising in epidemic problems. Nonlinear Analysis, TMA, 41(1), 1-13 (2000).
  • 2Chert, S, Torrejon, R.: Bifurcation of almost periodic solutions for a nonlinear integral equation with delay.Nonlinear Analysis, TMA, 27(8), 863-877 (1996).
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  • 4Ezzinbi, K, Hachimi, M. A.: Existence of positive almost periodic solntions of functional equations via Hilbert's projective metric. Nonlinear Analysis, TMA, 26(6), 1169-1176 (1996).
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  • 8Williams, L. R, Leggett, R. W.: Nonzero solutions of nonlinear integral equations modelling infectious disease. SIAM J. Math. Anal, 13, 112-121 (1982).
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Acta Mathematica Sinica,English Series
2005年 第6期

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