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Le equazioni differenziali sono un argomento fondamentale non solo della matematica, ma anche della fisica, dell'ingegneria e, in generale, di tutte le scienze. Questo volume intende fornire allo studente una panoramica di alcune tra le piu interessanti e suggestive questioni relative alle equazioni differenziali ordinarie trattate da un punto di vista geometrico, aprendo uno sguardo verso l'analisi funzionale. Oltre ai risultati classici sulle equazioni lineari, molto spazio e dato ai problemi nonlineari che spesso non sono oggetto dei corsi istituzionali.

L'esposizione e tenuta a un...

This self-contained textbook provides the basic, abstracttoolsused innonlinear analysisand their applications to semilinear elliptic boundary value problems and displays how variousapproachescan easily beappliedto a range of model cases.

Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is apractical text for an introductory course or seminar on nonlinear functional analysis."

This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the...