nonlinear analysis and applications

1. Auflage 2007
ISBN: 978-0-8247-7810-1
Verlag: CRC Press

Buch, Englisch, 680 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 1257 g

Reihe: Lecture Notes in Pure and Applied Mathematics

This book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on "Nonlinear Analysis and Applications" including papers that were delivered as invited talks and research reports.

Autoren/Hrsg.

Lakshmikantham, V.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

1. New Results on Local Existence for Quasilinear Parabolic Systems 2. A New Analysis for Nonlinear Systems 3. Oscillatory and Periodic Solutions of Advanced Differential Equations with Piecewise Constant Argument 4. Existence of Optimal Relaxed Controls for Differential Inclusions on Banach Space 5. Time-Dependent Volterra Equations in Hilbert Space 6. The Superposition Operator in Spaces of Measurable and Continuous Functions 7. Generalized Singular Points in Products of Semi-dynamical Systems 8. Hopf Bifurcation for Two Dimensional Periodic Differential Systems 9. Change of Sign of the Solutions to Some Parabolic Problems 10. Existence of a Solution to a Nonlinear Elliptic Problem in Non Variational Form 11. On Integral Transforms Appearing in the Derivation of the Equations of an Aeroelastic System 12. Krasovskii's Stability Theory 13. Consequences of the Duality Map Taking Planes to Planes 14. A Nonlinear Singular Parabolic Initial Boundary Value Problem 15. On the Monotone Iterative Technique for Nonlinear Volterra Type Integro-Differential Equation in Banach Space 16. The Time Optimal Control Theory of Nonlinear Systems of Neutral Type 17. A Singular Perturbation Approach to Abstract Volterra Equations 18. Efficient Numerical Methods for Optimal Control Problems via the Calculus of Variations 19. Limiting Temperature Jumps in Surface Controlled Exothermic Reactions 20. Some Open Problems in Ordinary Differential Equations and Fixed Points of (Weakly Inward) Maps in Banach Spaces 21. Stability Analysis of Continuous Dynamical Systems with Discrete Controllers 22. Semilinear Elliptic Equations in Rn 23. Some Remarks on Nonlinear Dichotomy and Trichotomy 24. Boundary Value Problems for Second Order Differential Equations 25. A System of Functional Differential Equations Modeling Threshold Phenomena 26. Degenerate Nonlinear Parabolic Boundary Problems 27. Coupling Induced Instability of Synchronous Oscillations 28. Particle Modeling by Systems of Nonlinear Ordinary Differential Equations 29. Some Fixed Point T

Über Autor(innen)

V. Lakshmikantham is Professor, and was Chairman of the Department of Mathematics (1973-1986), at The University of Texas at Arlington. He is founder and editor of the journal Nonlinear Analysis: Theory, Methods, and Applications, as well as coeditor (with G.S. Ladde) of the journal Stochastic Analysis and Applications (Marcel Dekker, Inc.). Dr. Lakshmikantham is also editor of Trends in Theory and Practice of Nonlinear Differential Equations, and coauthor (with G.S. Ladde andB.G. Zhang) of Oscillation Theory of Differential Equations with Deviating Arguments (both books, Marcel Dekker, Inc.). He is the author of several other books and associate editor of six journals. He has written over 200 research papers. He received the M.A. (1955) and Ph.D. (1957) degrees from Osmania University, Hyderabad, India.