ORDINARY DIFFERENTIAL EQUATIONS IN THE COMPLEX DOMAIN

Few domains of mathematics are as widely useful as the theory of ordinary differential equations. And while every book on the topic contains at least same material on the behavior of the solutions in the complex domain, this highly regarded graduate-level text is unique in that it was the first book in English to deal exclusivelywith the subject.

Moreover, Professor Hille’s book incorporates much material not available in other treatises and offers full and extensive treatments of existence theorems, representation of solutions by series, representation by integrals, theory of majorants, dominants and minorants, questions of growth, applications of the moder value distribution theory and more. Included are investigations by Boutroux, Briot-Bouquet, Malmquist, Pinlevé, R. Smith, Wittich and Yosida.