Nonconstant Periodic Solutions Of Nonlinear Differential Equations
Date of Award
Doctor of Philosophy (Ph.D.)
Let g:R('n) (--->) R('n) be of class C' and satisfy g(0) = 0. Assume that g is asymptotically linear at infinity and satisfies a certain weak monotonicity condition. Sufficient conditions for the existence of nonconstant periodic solutions of the second order differential system x''(t) + g(x(t)) = 0 are given. The bulk of our proof consists of establishing spectral properties of certain nonselfadjoint compact linear operators.
Montes De Oca, Francisco Rafael, "Nonconstant Periodic Solutions Of Nonlinear Differential Equations" (1982). Dissertations from ProQuest. 1288.