A large amount of work has been done on ordinary differ ential equations with small parameters multiplying deriv atives. This book investigates questions related to the asymptotic calculation of relaxation oscillations, which are periodic solutions formed of sections of both sl- and fast-motion parts of phase trajectories. A detailed discussion of solutions of differential equations involving small parameters is given for regions near singular points. The main results examined were obtained by L. S. Pontryagin and the authors. Other works have also been taken into A. A. Dorodnitsyn's investigations of Van der Pol's equation, results obtained by N. A. Zheleztsov and L. V. Rodygin concerning relaxation oscillations in electronic devices, and results due to A. N. Tikhonov and A. B. Vasil'eva concerning differential equations with small parameters multiplying certain derivatives. E. F. Mishchenko N. Kh. Rozov v CONTENTS Chapter I. Dependence of Solutions on Small Parameters. Applications of Relaxation Oscillations 1. Smooth Dependence. Poincare's Theorem . 1 2. Dependence of Solutions on a Parameter, on an Infinite Time Interval 3 3. Equations with Small Parameters 4 Multiplying Derivatives 4. Second-Order Systems. Fast and Slow Motion.
"synopsis" may belong to another edition of this title.
Text: English, Russian (translation)
"About this title" may belong to another edition of this title.
FREE shipping within U.S.A.
Destination, rates & speedsSeller: Better World Books, Mishawaka, IN, U.S.A.
Condition: Good. 1st Edition. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Seller Inventory # GRP69161298
Quantity: 1 available
Seller: BookOrders, Russell, IA, U.S.A.
Hard Cover. Condition: Acceptable. No Jacket. Ex-library with the usual features. The interior is clean and tight. Binding is good. Cover is rubbed and slightly edge worn. 228 pages. Ex-Library. Seller Inventory # 036943
Quantity: 1 available
Seller: Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-S-021-03187
Quantity: 2 available
Seller: Emile Kerssemakers ILAB, Heerlen, Netherlands
23.5 × 16 cm, hardcover with dust jacket, x, 228 pages, text in English, very good/ fine condition. See picture. Series: Mathematical Concepts and Methods in Science and Engineering, Volume 13. - Mishchenko (19192001) and Rozov (19362017), prominent Russian mathematicians of the Academy of Sciences of the USSR, present a systematic treatment of singular perturbation problems in ordinary differential equations, with particular attention to relaxation oscillations. The book is a standard reference in applied mathematics and dynamical systems. 500g. Seller Inventory # 80706
Quantity: 1 available
Seller: Buchpark, Trebbin, Germany
Condition: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 10334001/203
Quantity: 1 available