Remarks on generalized solutions of some ordinary nonlinear differential equations of second order in the Columbeau algebra

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Remarks on generalized solutions of some ordinary nonlinear differential equations of second order in the Columbeau algebra

Jan Ligęza-1996-01-01-Silesian Digital Library (Silesian Library)

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TL;DRAbstract

In this article some equations of second order are considered, whose nonlinearity satisfies a global Lipschitz condition. It is shown that the equations with additional conditions admit unique global solutions in the Colombeau algebra GCR1)-

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In this article some equations of second order are considered, whose nonlinearity satisfies a global Lipschitz condition. It is shown that the equations with additional conditions admit unique global solutions in the Colombeau algebra GCR1)-

Keywords

MathematicsLipschitz continuityNonlinear systemOrder (exchange)Ordinary differential equationAlgebra over a fieldDifferential equationMathematical analysis

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