Anti-periodic solutions of nonlinear first order impulsive functional differential equations

Year, pages: 2012, 695 - 720

The existence of anti-periodic solutions of the following nonlinear impulsive functional differential equations \begin{align*} x'(t)+a(t)x(t) &=f(t,x(t),x(α₁(t)),…,x(α_n(t))),    t\in \Bbb R, Δ x(t_k)&=I_k(x(t_k)),    k\in \Bbb Z \end{align*} is studied. Sufficient conditions for the existence of at least one anti-periodic solution of the mentioned equation are established. Several new existence results are obtained.

Liu, Y. 2012. Anti-periodic solutions of nonlinear first order impulsive functional differential equations. In Mathematica Slovaca, vol. 62, no.4, pp. 695-720. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0039-4

Liu, Y. (2012). Anti-periodic solutions of nonlinear first order impulsive functional differential equations. Mathematica Slovaca, 62(4), 695-720. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0039-4