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Positive solutions of iterative functional differential equations and application to mixed-type functional differential equations

2021
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Discrete and continuous dynamical systems. Series B
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<p style='text-indent:20px;'>In this paper we consider the existence, uniqueness, boundedness and continuous dependence on initial data of positive solutions for the general iterative functional differential equation <inline-formula><tex-math id="M1">\begin{document}$ \dot{x}(t) = f(t,x(t),x^{[2]}(t),...,x^{[n]}(t)). $\end{document}</tex-math></inline-formula> As <inline-formula><tex-math id="M2">\begin{document}$ n = 2 $\end{document}</tex-math></inline-formula>, this equation can be regarded

doi:10.3934/dcdsb.2021198
fatcat:5hgriggxtvbxtgoohzcusp7jp4