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SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.

Journal of Sciences, Islamic Republic of Iran
مقاله 13، دوره 11، شماره 2، 2000    اصل مقاله (72.19 K)
چکیده
Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). This conclusion opens a way for further investigation.
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