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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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- ÉditeurSpringer
- Date d'édition2010
- ISBN 10 9048148359
- ISBN 13 9789048148356
- ReliureBroché
- Langueanglais
- Nombre de pages212
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Existence Theory for Nonlinear Ordinary Differential Equations (Mathematics and Its Applications)
Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis
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Existence Theory for Nonlinear Ordinary Differential Equations
Edité par
Springer Netherlands Dez 2010, 2010
ISBN 10 : 9048148359
ISBN 13 : 9789048148356
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. 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 9789048148356
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Existence Theory for Nonlinear Ordinary Differential Equations (Mathematics and Its Applications)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Existence Theory for Nonlinear Ordinary Differential Equations
Edité par
Springer Netherlands, 2010
ISBN 10 : 9048148359
ISBN 13 : 9789048148356
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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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 5818697
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Existence Theory for Nonlinear Ordinary Differential Equations
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. 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 9789048148356
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Existence Theory for Nonlinear Ordinary Differential Equations (Mathematics and Its Applications)
Vendeur : California Books, Miami, FL, Etats-Unis
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Existence Theory for Nonlinear Ordinary Differential Equations (Mathematics and Its Applications)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 208 pages. 9.25x6.10x0.48 inches. In Stock. N° de réf. du vendeur x-9048148359
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