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ON THE EXISTENCE OF SOLUTIONS TO A TYPE OF NONLINEAR DIFFERENTIAL-ITERATIVE EQUATIONS |
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| Authors: | GE Weigao LI Cuizhe YU Yuanhong |
| Affiliation: | 1. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China 2. Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China |
| 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'(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 |
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