Nonoscillation Theory of Functional Differential Equations with Applications
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective th
- PDF / 5,248,925 Bytes
- 526 Pages / 439.37 x 666.142 pts Page_size
- 50 Downloads / 226 Views
Ravi P. Agarwal r Leonid Berezansky r Elena Braverman r Alexander Domoshnitsky
Nonoscillation Theory of Functional Differential Equations with Applications
Ravi P. Agarwal Department of Mathematics Texas A&M University—Kingsville Kingsville USA
Elena Braverman Department of Mathematics University of Calgary Calgary Canada
Leonid Berezansky Department of Mathematics Ben-Gurion University of the Negev Beer-Sheva Israel
Alexander Domoshnitsky Department of Computer Sciences and Mathematics Ariel University Center of Samaria Ariel Israel
ISBN 978-1-4614-3454-2 e-ISBN 978-1-4614-3455-9 DOI 10.1007/978-1-4614-3455-9 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2012935965 Mathematics Subject Classification (2010): 34K11, 34K10, 34K06, 34K20, 34K45, 92D25 © Springer Science+Business Media, LLC 2012 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
The well-known monographs by G.S. Ladde, V. Lakshmikantham and B.G. Zhang [248], I. Gy˝ori and G. Ladas [192], L.H. Erbe, Q. Kong and B.G. Zhang [154], R.P. Agarwal, M. Bohner and W.-T. Li [3], R.P. Agarwal, S.R. Grace and D. O’Regan [8] and D.D. Bainov and D.P. Mishev [34] are devoted to the oscillation theory of functional differential equations. Each of these monographs contains nonoscillation tests, but their main objective was to present methods and results concerning oscillation of all solutions for the functional differential equations under consideration. The main purpose of the present monograph is to consider nonoscillation and existence of positive solutions for functional differential equations and to describe their applications to maximum principles, boundary value problems and the stability of these equations. In view of this objective, we consider a wide class of equations: 1. scalar equations and systems of different types: linear and nonlinear first-order functional differential equations, second-order equations with or without damping terms, high-order equations, systems of functional differential equations; 2. equations with variable types of delays: delay differential equations, integrodifferential equations, equations with a distributed delay, neutral equations; 3. equations with variable deviations of the argument: advanced and mixed (includ
Data Loading...
