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Exponentially dichotomous operators and applications
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C. V. M. van der Mee |
In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of … |
OL10100722W |
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Differential Equations with Applications and Historical Notes
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George F. Simmons |
Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect o… |
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The monodromy group
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Henryk Żołądek |
In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem a… |
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The Painlevé handbook
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Robert Conte |
"This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this… |
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Handbook of nonlinear partial differential equations
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A. D. Poli︠a︡nin |
"Updated and expanded, this popular handbook provides a catalog of 2,100 nonlinear PDEs and their solutions. With nearly 400 pages of new and updated material, this edition contains over 500 nonlinea… |
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Nonlinear optimal control theory
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Leonard David Berkovitz |
"Preface This book is an introduction to the mathematical theory of optimal control of processes governed by ordinary differential and certain types of differential equations with memory. The book is… |
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De formations isomonodromiques et varie te s de Frobenius
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Claude Sabbah |
The theory of isomonodromic deformations enables the production of systems of non-linear differential equations or of their partial complex derivatives, beginning with one equation or a system of lin… |
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Weight theory for integral transforms on spaces of homogenous type
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Ioseb Genebashvili,Amiran Gogatishvili,Vakhtang Kokilashvil,Miroslav Krbec |
This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integrals and their generalization in Lorentz and Orlic… |
OL18344602W |
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Absolute Stability of Nonlinear Control Systems
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Xiaoxin Liao |
This volume presents an overview of some recent developments on the absolute stability of nonlinear control systems. Chapter 1 introduces the main tools and the principal results used in this book, s… |
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Application of Abstract Differential Equations to Some Mechanical Problems
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Isabelle Titeux |
The theory of differential operator equations has been described in various monographs. But the initial physical problem which leads to these equations is often hidden. When the physical problem is s… |
OL19827093W |
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Asymptotics of Linear Differential Equations
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M. H. Lantsman |
This book is devoted to the asymptotic theory of differential equations. Asymptotic theory is an independent and important branch of mathematical analysis that began to develop at the end of the 19th… |
OL19828520W |
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Bifurcations and Periodic Orbits of Vector Fields
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Dana Schlomiuk |
The main topic of this book is the theory of bifurcations of vector fields, i.e. the study of families of vector fields depending on one or several parameters and the changes (bifurcations) in the to… |
OL19830923W |
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Differential and Integral Equations through Practical Problems and Exercises
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Gheorghe Micula |
This volume presents a valuable and comprehensive collection of problems and exercises, together with guidelines and worked solutions, of a wide range of the most important commonly occurring differe… |
OL19843049W |
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Dynamical Systems and Cosmology
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A. A. Coley |
Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are … |
OL19844375W |
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Existence Theory for Nonlinear Ordinary Differential Equations
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Donal O'Regan |
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… |
OL19848983W |
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Hamiltonian Systems with Three or More Degrees of Freedom
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Carles Simó |
A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of the applications are non-integrable. Hen… |
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IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems
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Nguyen Dao |
This book contains 32 selected papers by acknowledged experts covering current research in this field of mechanics. The material has been grouped into six sections entitled: Non-linear oscillations o… |
OL19877565W |
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Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations
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Ravi P. Agarwal |
In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential eq… |
OL19893036W |
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics
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V. I. Shalashilin |
The optimal continuation parameter provides the best conditions in a linearized system of equations at any moment of the continuation process. In this book the authors consider the best parameterizat… |
OL19893433W |
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Solving Frontier Problems of Physics: The Decomposition Method
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George Adomian |
The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbati… |
OL19903017W |