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ON THE EXISTENCE OF SOLUTIONS TO A TYPE OF NONLINEAR DIFFERENTIAL-ITERATIVE EQUATIONS 被引量:2

ON THE EXISTENCE OF SOLUTIONS TO A TYPE OF NONLINEAR DIFFERENTIAL-ITERATIVE EQUATIONS
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摘要 Under the assumption that h(z) is strictly monotone the existence of solutions to a type of nonlinear differential-iterative equations in the form of x’(t) = g(x(t)) -h(x(x(t))) is discussed according to the behavior of the quasi-isoclinic curve C: x=h^-1 (g(t)) Under the assumption that h(z) is strictly monotone the existence of solutions to a type of nonlinear differential-iterative equations in the form of x'(t) = g(x(t)) -h(x(x(t))) is discussed according to the behavior of the quasi-isoclinic curve C: x=h^-1 (g(t))
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2000年第2期217-224,共8页 数学年刊(B辑英文版)
基金 National Natural Science Foundation of China Doctoral Program Foundation of the Ministry of Education of China
关键词 存在性 微分方程 不动点 Differential-iterative equation, Quasi-isoclinic curve, Fixed point
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参考文献5

  • 1葛渭高.微分迭代方程的变换定理及其应用[J].数学学报(中文版),1997,40(6):881-888. 被引量:4
  • 2Ge Weigao,Acta Math Appl Sin,1998年,21卷,1期,113页
  • 3Ge Weigao,北京理工大学学报,1997年,6卷,3期,192页
  • 4Wu Hangzhong,数学学报,1995年,38卷,803页
  • 5Wang Ke,Funk Ekva,1990年,33卷,3期,405页

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