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Displaying similar documents to “A classification scheme for positive solutions to second order nonlinear iterative differential equations.”

Conjugacy criteria for half-linear differential equations

Simón Peňa (1999)

Archivum Mathematicum

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Sufficient conditions on the function c ( t ) ensuring that the half-linear second order differential equation ( | u ' | p - 2 u ' ) ' + c ( t ) | u ( t ) | p - 2 u ( t ) = 0 , p > 1 possesses a nontrivial solution having at least two zeros in a given interval are obtained. These conditions extend some recently proved conjugacy criteria for linear equations which correspond to the case p = 2 .