Bai, Chuanzhi On the solvability of anti-periodic boundary value problems with impulses. (English) Zbl 1186.34037 Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 11, 15 p. (2009). Summary: We are concerned with the existence of solutions for the second order impulsive anti-periodic boundary value problem \[ \begin{cases} u''(t) + f(t,u(t),u'(t))=0, \quad & t \not= t_k, \;t \in [0, T], \\ \triangle u(t_k) = I_k(u(t_k)), & k = 1, \cdots , m, \\ \triangle u'(t_k) = I_k^*(u(t_k)), & k = 1, \cdots , m, \\ u(0) + u(T) = 0, \;u'(0) + u'(T) = 0. \end{cases} \]New existence criteria are established based on Schaefer’s fixed-point theorem. MSC: 34B37 Boundary value problems with impulses for ordinary differential equations 47N20 Applications of operator theory to differential and integral equations Keywords:anti-periodic boundary value problem; impulsive; Schaefer’s fixed-point theorem PDFBibTeX XMLCite \textit{C. Bai}, Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 11, 15 p. (2009; Zbl 1186.34037) Full Text: DOI EuDML EMIS