Loud, W. S. 1921-
Periodic solutions of x �+ cx� + g(x) = [epsilon]f(t) / [electronic resource] by W.S. Loud. - Providence, R.I. : American Mathematical Society, 1959 - 1 online resource (58 p.) - Memoirs of the American Mathematical Society, v. 31 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 31. .
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
Mode of access : World Wide Web
9780821899748 (online)
Differential equations.
QA3 / .A57 no. 31
Periodic solutions of x �+ cx� + g(x) = [epsilon]f(t) / [electronic resource] by W.S. Loud. - Providence, R.I. : American Mathematical Society, 1959 - 1 online resource (58 p.) - Memoirs of the American Mathematical Society, v. 31 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 31. .
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
Mode of access : World Wide Web
9780821899748 (online)
Differential equations.
QA3 / .A57 no. 31