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Nonconstant Periodic Solutions Of Nonlinear Differential Equations
Dissertation

Nonconstant Periodic Solutions Of Nonlinear Differential Equations

Francisco Rafael Montes De Oca
Doctor of Philosophy (PhD), University of Miami
1982

Abstract

Mathematics
<p>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.</p>
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