TY - BOOK AU - Loud,W.S. TI - Periodic solutions of x �+ cx� + g(x) = [epsilon]f(t) T2 - Memoirs of the American Mathematical Society, SN - 9780821899748 (online) AV - QA3 .A57 no. 31 PY - 1959/// CY - Providence, R.I. PB - American Mathematical Society KW - Differential equations N1 - Includes bibliographical references; 1. Introduction; 2. The equation $x" + g(x) = 0$. Systems of increasing and decreasing frequency characteristic; 3. The variation equation; 4. Periodic solutions of $x" + g(x) = \varepsilon f(t)$ near $x_0(t)$; 5. Stability; 6. Equations with damping; 7. The case $\smallint ^L_0 x_0"(t) f(t) dt = 0$; 8. Periodic solutions near $x = 0$; 9. Periodic solutions of $x" + cx' + g(x) = \varepsilon f(t)$; 10. Examples; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0031 UR - http://dx.doi.org/10.1090/memo/0031 ER -