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The analysis of some braking mechanisms for neutron stars was carried out todetermine the sign of the second derivative of the pulsar period. This quantityis the important parameter for calculations of the braking index n. It is shownthat this derivative can be positive and lead to decreasing of n. It isnecessary to correct the methods of calculations of n used this moment becausethey are based as a rule on the suggestion on the constancy of pulsarparameters (magnetic fields, angles between some axes and so on). Theestimations of corrections to braking indices are obtained. It is shown thatthese corrections can be marked for pulsars with long periods and their smallderivatives.

On the second derivatives of periods and braking indices in radio pulsars