On certain solutions of a pendulum-type equation

George Seifert
1953 Quarterly of Applied Mathematics  
1953] GEORGE SEIFERT 127 The conditions (4.1) can be expressed in the form , x " -2St f" sin ht cos zt " " (Tr,)r-a = / dt (4.2) We assume v = f c(t)Ki(tr) cos zt dt (4.3) J 0 as a solution of the equation of equilibrium (1.3) where c(t) is a function of t only. The boundary condition (4.2) will be satisfied ifT herefore r°° 2<S'i sin hi cos ztK,(tr) dt ..
doi:10.1090/qam/56789 fatcat:oznkdybbyzgcvgu6cvhorgw5h4