Explicit bounds of non-linear integro-differential inequalities.+CD

The main purpose of this work can be classified into four objects.These are summarized as follows:The first objective, is to classify the one-dimensional integral inequalities.The second objective, is to find explicit bounds for the unknown function that appeared in special types of the one-dimensional Volterra linear and non-linear integral inequalities.The third objective, is to classify the one-dimensional integrodifferential inequalities.The fourth objective, is to give explicit bounds for the unknown function that appeared in special types of the one-dimensional Volterra first order and second order linear and non-linear integro-differential inequalities.