Dhage, Bapurao C.; Ntouyas, Sotiris K. Existence results for impulsive neutral functional differential inclusions. (English) Zbl 1089.34064 Topol. Methods Nonlinear Anal. 25, No. 2, 349-361 (2005). Existence results are obtained for the following first-order nonlinear neutral inclusions with impulses \[ \begin{aligned}\frac{d}{dt}[x(t)-f(t,x_t)]\in G(t,x_t)&\quad \text{a.e. }t\in [0,T], \;t\neq t_k,\;k=1,\dots,m,\\ x(t_k^{+})-x(t_k^{-})=I_k(t_k^{+}),&\quad k=1,\dots,m,\;x_0=\phi,\end{aligned} \] and for similar second-order inclusions. Reviewer: Leonid Berezanski (Beer-Sheva) Cited in 2 Documents MSC: 34K45 Functional-differential equations with impulses 34K40 Neutral functional-differential equations Keywords:existence results; impulses; neutral functional-differential inclusions PDFBibTeX XMLCite \textit{B. C. Dhage} and \textit{S. K. Ntouyas}, Topol. Methods Nonlinear Anal. 25, No. 2, 349--361 (2005; Zbl 1089.34064) Full Text: DOI