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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 più 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 è dato ai problemi nonlineari che spesso non sono oggetto dei corsi istituzionali. "

"M. Cinquini Cibrario: Equazioni non lineari e teoria delle caratteristiche.- J. Leray: La théorie de L. Garding des équations hyperboliques lineaires.- S.L. Sobolev: Lezioni sulle equazioni iperboliche non lineari.- A Weinstein: Equazioni alle derivate parziali singolari."

"This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime. All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects."

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ABSTRACTThis book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime. All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects. "

"Metode elemen hingga adalah suatu metode numerik untuk menyelesaikan persamaan diferensial. Konvergensi dan stabilitas dari solusi elemen hingga mi selain tergantung dari besarnya ukuran elernen dan besarnya step waktu yang dipergunakan juga tergantung pada hubung an antara ukuran-ukuran tersebut. Pada tugas akhir ini Akan diamati bagaimana pëngaruh perubahan ukuran elemen dan step waktu yang dipakai terhadap ketelitian dari solusi elemen hingga dan persamaan diferensial yang time dependent (tergantung waktu) diruang dimensi dua."

"ABSTRAKTeorema titik tetap Banach adalah teorema mengenai pemetaan tertentu dari ruang metrik lengkap ke dalam dirinya sendiri. Teorema ini digunakan pada pembahasan teorema Picard untuk eksistensi penyelesaian persamaan difierensisi biasa linier order satu x'(t) + p(t) x(t) = q(t) dengan syarat awal x(t 0 ) = x0."

"Tugas akhir ini meninjau dan memperkena1kan sebuah metodenumerik ysng dikenal sebagai " METODE ONE STEP NON—LINIER "untuk menye1esaikan sebuah persoalan nilai awai perssmaandifferensial biasa. Dan diberikan pula paket program dalambahasa TURBO PASCAL untuk persoalan nilai awal persamaandifferensial biasa."

"This textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts. These topics include, first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus."