Ordinary Differential Equations in Rn
Problems and Methods
Series: Applied Mathematical Sciences; 39;
- Publisher's listprice EUR 106.99
-
44 374 Ft (42 261 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 20% (cc. 8 875 Ft off)
- Discounted price 35 499 Ft (33 809 Ft + 5% VAT)
Subcribe now and take benefit of a favourable price.
Subscribe
44 374 Ft
Availability
Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
Not in stock at Prospero.
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Edition number Softcover reprint of the original 1st ed. 1984
- Publisher Springer New York
- Date of Publication 10 April 1984
- Number of Volumes 1 pieces, Book
- ISBN 9780387907239
- Binding Paperback
- No. of pages385 pages
- Size 235x155 mm
- Weight 604 g
- Language English
- Illustrations XII, 385 p. 0
Categories
Long description:
During the fifties, one of the authors, G. Stampacchia, had prepared some lecture notes on ordinary differential equations for a course in ad analysis. These remained for a long time unused because he was no vanced longer very interested in the study of such equations. We now see, though, that numerous applications to biology, chemistry, economics, and medicine have recently been added to the traditional ones in mechanics; also, there has been in these last years a reemergence of interest in nonlinear analy sis, of which the theory of ordinary differential euqations is one of the principal sources of methods and problems. Hence the idea to write a book. Our text, based on the old notes and experience gained in many courses, seminars, and conferences, both in Italy and abroad, aims to give a simple and rapid introduction to the various themes, problems, and methods of the theory of ordinary differential equations. The book has been conceived in such a way so that even the reader who has merely had a first course in calculus may be able to study it and to obtain a panoramic vision of the theory. We have tried to avoid abstract formalism, preferring instead a discursive style, which should make the book accessible to engineers and physicists without specific preparation in modern mathematics. For students of mathematics, it pro vides motivation for the subject of more advanced analysis courses.
MoreTable of Contents:
I Existence and Uniqueness for the Initial Value Problem Under the Hypothesis of Lipschitz.- 1. General Results.- 2. Qualitative Properties of Solutions.- 3. Solutions as Functions of the Initial Data.- 4. Systems of Equations as Particular Transformations Between Function Spaces.- 5. Exercises.- 6. Bibliographical Notes.- II Linear Systems.- 1. Elements of Linear Algebra.- 2. Linear Systems of Ordinary Differential Equations.- 3. Operational Calculus.- 4. Linear Finite Differences Equations.- 5. Examples.- 6. Bibliography.- III Existence and Uniqueness for the Cauchy Problem Under the Condition of Continuity.- 1. Existence Theorem.- 2. The Peano Phenomenon.- 3. Questions of Uniqueness.- 4. Elements of G-Convergence.- 5. Bibliographical Notes.- IV Boundary Value Problems.- 1. Continuous Mappings on Euclidean Spaces.- 2. Geometric Boundary Value Problems.- 3. Sturm-Liouvilie Problems: Eigenvalues and Existence and Uniqueness Theorems.- 4. Periodic Solutions.- 5. Functional Boundary Value Problems.- 6. Bibliographical Notes.- V Questions of Stability.- 1. Stability of the Solutions of Linear Systems.- 2. Some Methods for the Determination of the Stability of Nonlinear Systems.- 3. Some Applications.- 4. The Method of Runge and Kutta.- 5. Bibliographical Notes.
More
