Article Contents
Article Contents

# Multiple periodic solutions of second order equations with asymmetric nonlinearities

• The problem of the existence and multiplicity of periodic (harmonic and subharmonic) solutions to the parameter-dependent second order equation $x' '+g(x)=s+w(t)$ is investigated for $|s|$ large under suitable "jumping" conditions on $g'(\pm\infty)$. The results which are obtained complete and complement some recent theorems on the periodic Ambrosetti-Prodi problem.
Mathematics Subject Classification: Primary: 34C25; Secondary: 34B15.

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