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Conley index for manifold-valued retarded functional differential equations without uniqueness of solutions
Proceedings of the Royal Society of Edinburgh Section A: Mathematics ( IF 1.3 ) Pub Date : 2021-04-19 , DOI: 10.1017/prm.2021.15 M. C. Carbinatto 1 , K. P. Rybakowski 2
中文翻译:
无解唯一性的多值迟滞泛函微分方程的康利指数
更新日期:2021-04-19
Proceedings of the Royal Society of Edinburgh Section A: Mathematics ( IF 1.3 ) Pub Date : 2021-04-19 , DOI: 10.1017/prm.2021.15 M. C. Carbinatto 1 , K. P. Rybakowski 2
Affiliation
We develop a Conley index theory for retarded functional differential equations $\dot x=f(x_{t})$ with values in a differentiable manifold and (merely) continuous nonlinearities f. We use this index to establish an existence result for nonconstant full solutions of such equations.
中文翻译:
无解唯一性的多值迟滞泛函微分方程的康利指数
我们为延迟泛函微分方程$\dot x=f(x_{t})$开发了康利指数理论,其值在可微流形和(仅)连续非线性f中。我们使用该指数来建立此类方程的非常数全解的存在性结果。