Existence Theory for Nonlinear Ordinary Differential Equations by Donal O'Regan

Description: Existence Theory for Nonlinear Ordinary Differential Equations by Donal O'Regan We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. 1 ) { yeO) = r n where I: I X R n ---+ R and I = [0, b]. 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Notes Springer Book Archives Back Cover In Weird Worlds , the author discusses planets where temperatures are so high that it rains molten iron, and others so cold that liquid methane floods across plains of ice! Worlds are described where the lightest element acts like a metal and where winds blow at thousands of miles per hour - as well as possible planets whose orbits are essentially parabolic. Weird Worlds is the third book in David Seargents "Weird" series. This book assumes a basic level of astronomical understanding and concentrates on the "odd and interesting" aspects of planetary bodies, including asteroids and moons. From our viewpoint here on Earth, this work depicts the most unusual features of these worlds and the ways in which they appear "weird" to us. Within our own Solar System, odd facts such as the apparent reversal of the Sun in the skies of Mercury, CO2-driven fountains of dust on Mars, possible liquid water (and perhaps primitive life!) deep within the dwarf planet Ceres, and a variety of odd facts about the planetary moons are all discussed. A special chapter is devoted to Saturns giant moon Titan, and its methane-based weather system and "hydrological" cycle. This chapter also includes recent speculation on the possibility of methane-based organisms and the form that these might take, if they really do exist. Beyond our Solar System, the book looks at the range of worlds discovered and hypothesized. In keeping with previous titles in David Seargents "Weird" series, Weird Worlds contains several projects that astronomers of all levels can participate. Author Biography Department of Mathematics, National University of Ireland, Galway, Ireland. Table of Contents 1. Introduction, notation and preliminaries.- 2. Fixed point theory.- 3. Initial value problems.- 4. First order periodic problems.- 5. Existence principles for second order boundary value problems.- 6. Boundary value problems without growth restrictions.- 7. Positone boundary value problems.- 8. Semi-positone boundary value problems.- 9. Differential equations singular in the solution variable.- 10. Existence principle for singular boundary problems.- 11. Nonresonance problems in the limit circle case.- 12. Resonance problems in the limit circle case.- 13. Boundary value problems on the half line.- 14. Existence theory for ordinary differential equations on compact and noncompact intervals.- 15. Impulsive differential equations.- 16. Differential equations in abstract spaces. Review `I warmly recommend it to everyone interested in ordinary differential equations and its applications. Acta Sci. Math., 64 (1998) Promotional Springer Book Archives Long Description 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 Review Quote I warmly recommend it to everyone interested in ordinary differential equations and its applications. Acta Sci. Math., 64 (1998) Details ISBN9048148359 Author Donal ORegan Publisher Springer Year 2010 ISBN-10 9048148359 ISBN-13 9789048148356 Format Paperback Publication Date 2010-12-06 Imprint Springer Place of Publication Dordrecht Country of Publication Netherlands DEWEY 510 Edition 1st Short Title EXISTENCE THEORY FOR NONLINEAR Language English Media Book Series Number 398 Residence US Series Mathematics and Its Applications Pages 200 Illustrations VII, 200 p. Edition Description Softcover reprint of the original 1st ed. 1997 Alternative 9780792345114 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96230216;

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