Publicación: A NOTE ON THE PERIODIC SOLUTIONS OF A MATHIEU-DUFFING TYPE EQUATIONS
Fecha
2017
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MATHEMATISCHE NACHRICHTEN
Resumen
BY MEANS OF A NEW CHANGE OF VARIABLE WE PROVE THE EXISTENCE OF A POSITIVE 2?-PERIODIC SOLUTION FOR THE MATHIEU?DUFFING TYPE EQUATIONS HAVING ITS NONLINEARITY A SUPER-LINEAR GROWTH. AS RESULT WE CAN GUARANTEE THE EXISTENCE OF 2?-PERIODIC SOLUTIONS EVEN ASSUMING THAT THE PARAMETER OF THE ASSOCIATED MATHIEU EQUATION IS IN THE CONTENTIOUS ZONE OF RESONANCE.
