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| ON THE EXISTENCE OF SOLUTIONS TO A TYPE OF NONLINEAR DIFFERENTIAL-ITERATIVE EQUATIONS |
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Citation： |
GE Weigao,LI Cuizhe,YU Yuanhong.ON THE EXISTENCE OF SOLUTIONS TO A TYPE OF NONLINEAR DIFFERENTIAL-ITERATIVE EQUATIONS[J].Chinese Annals of Mathematics B,2000,21(2):217~224 |
| Page view： 1032
Net amount： 766 |
Authors： |
GE Weigao; LI Cuizhe;YU Yuanhong |
Foundation： |
Project supported by the National Natural Science Foundation of China and the Doctoral Program
Foundation of the Ministry of Education of China. Research was completed during the first author’s
visit to Institute of Applied Mathematics, Academia Sinica. |
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| Abstract： |
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 $x^{\prime}(t)=g(x(t))-h(x(x(t)))$ is discussed according to
the behavior of the quasi-isoclinic curve C: $x=h^{-1}(g(t))$. |
Keywords： |
Differential-iterative equation, Quasi-isoclinic curve, Fixed point |
Classification： |
34K15 |
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