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Synopsis
We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t, y) (1. 1 ) { yeO) = r n where I: I X R n ---] R and I = [0, b]. We shall seek solutions that are de- fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In section 3. 2 we will first establish some basic existence theorems which guarantee that a solution to (1. 1) exists for t > 0 and near zero. Familiar examples show that the interval of existence can be arbi- trarily short, depending on the initial value r and the nonlinear behaviour of I. As a result we will also examine in section 3. 2 the dependence of the interval of existence on I and r. We mention in passing that, in the results which follow, the interval I can be replaced by any bounded interval and the initial value can be specified at any point in I. The reasoning needed to cover this slightly more general situation requires minor modifications on the arguments given here.
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Présentation de l'éditeur
This book presents an up-to-date account of many topics of current interest in the theory of nonlinear ordinary differential equations. Topics include fixed point theory, periodic problems, lower and upper surfaces, positone and semi-positone problems, singular equations, limit circle problems, finite and infinite interval problems, and impulsive differential equations. In addition many important applications are presented to complement the theory. Audience: This work will be of interest to theoretical and applied mathematicians, and graduate students in the above disciplines.
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Existence Theory for Nonlinear Ordinary Differential Equations
Edité par
Springer Netherlands, 1997
ISBN 10 : 0792345118
ISBN 13 : 9780792345114
Ancien ou d'occasion
Couverture rigide
Vendeur : Buchpark, Trebbin, Allemagne
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Etat : Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 3028585/202
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Existence Theory for Nonlinear Ordinary Differential Equations (Mathematics and Its Applications, 398)
Edité par
Springer, 1997
ISBN 10 : 0792345118
ISBN 13 : 9780792345114
Ancien ou d'occasion
Couverture rigide
Vendeur : Zubal-Books, Since 1961, Cleveland, OH, Etats-Unis
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Etat : Good. *Price HAS BEEN REDUCED by 10% until Tuesday, Sept. 2 (holiday SALE item)* 207 pp., Hardcover, ex library, else text and binding clean and tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. N° de réf. du vendeur ZB1276495
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Existence Theory for Nonlinear Ordinary Differential Equations (Mathematics and Its Applications)
Edité par
Springer, 1997
ISBN 10 : 0792345118
ISBN 13 : 9780792345114
Ancien ou d'occasion
Couverture rigide
Vendeur : Orca Knowledge Systems, Inc., Novato, CA, Etats-Unis
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Hardcover. Etat : Very Good. No DJ. Non circulating ex University of California, Berkeley reference library book with some library markings. Light wear. Binding is tight, text clean. From the back cover: Topics include fixed point theory, periodic problems, lower and upper survaces, positone and semi-positone problems, singular equations, limit circle problems, finite and infinite interval problems and impulsive differential equations. N° de réf. du vendeur mon0000018298
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Existence Theory for Nonlinear Ordinary Differential Equations
Edité par
Springer Netherlands, 1997
ISBN 10 : 0792345118
ISBN 13 : 9780792345114
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further tha. N° de réf. du vendeur 5968077
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Existence Theory for Nonlinear Ordinary Differential Equations (Mathematics and Its Applications, 398)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Existence Theory for Nonlinear Ordinary Differential Equations
Edité par
Springer Netherlands, Springer Netherlands Apr 1997, 1997
ISBN 10 : 0792345118
ISBN 13 : 9780792345114
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t,y) (1. 1 ) { yeO) = r n where I: I X R n ---+ R and I = [0, b]. We shall seek solutions that are de fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In section 3. 2 we will first establish some basic existence theorems which guarantee that a solution to (1. 1) exists for t > 0 and near zero. Familiar examples show that the interval of existence can be arbi trarily short, depending on the initial value r and the nonlinear behaviour of I. As a result we will also examine in section 3. 2 the dependence of the interval of existence on I and r. We mention in passing that, in the results which follow, the interval I can be replaced by any bounded interval and the initial value can be specified at any point in I. The reasoning needed to cover this slightly more general situation requires minor modifications on the arguments given here.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 212 pp. Englisch. N° de réf. du vendeur 9780792345114
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Existence Theory for Nonlinear Ordinary Differential Equations
Edité par
Springer Netherlands, Springer Netherlands, 1997
ISBN 10 : 0792345118
ISBN 13 : 9780792345114
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t,y) (1. 1 ) { yeO) = r n where I: I X R n ---+ R and I = [0, b]. We shall seek solutions that are de fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In section 3. 2 we will first establish some basic existence theorems which guarantee that a solution to (1. 1) exists for t 0 and near zero. Familiar examples show that the interval of existence can be arbi trarily short, depending on the initial value r and the nonlinear behaviour of I. As a result we will also examine in section 3. 2 the dependence of the interval of existence on I and r. We mention in passing that, in the results which follow, the interval I can be replaced by any bounded interval and the initial value can be specified at any point in I. The reasoning needed to cover this slightly more general situation requires minor modifications on the arguments given here. N° de réf. du vendeur 9780792345114
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Existence Theory for Nonlinear Ordinary Differential Equations
Edité par
Springer Netherlands Apr 1997, 1997
ISBN 10 : 0792345118
ISBN 13 : 9780792345114
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t,y) (1. 1 ) { yeO) = r n where I: I X R n ---+ R and I = [0, b]. We shall seek solutions that are de fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In section 3. 2 we will first establish some basic existence theorems which guarantee that a solution to (1. 1) exists for t 0 and near zero. Familiar examples show that the interval of existence can be arbi trarily short, depending on the initial value r and the nonlinear behaviour of I. As a result we will also examine in section 3. 2 the dependence of the interval of existence on I and r. We mention in passing that, in the results which follow, the interval I can be replaced by any bounded interval and the initial value can be specified at any point in I. The reasoning needed to cover this slightly more general situation requires minor modifications on the arguments given here. 212 pp. Englisch. N° de réf. du vendeur 9780792345114
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Existence Theory for Nonlinear Ordinary Differential Equations (Mathematics and Its Applications, 398)
Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis
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Etat : New. N° de réf. du vendeur ABLIING23Feb2416190182485
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