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Most popular at the top
- Taylor and Francis 2014; US$ 99.95
Accessible to non-specialists, this book provides a self-contained, complete introduction to the modern theory of stochastic differential equations in infinite-dimensional spaces. It describes various approaches to solve abstract stochastic Cauchy problems. The authors compare these approaches and illustrate them with numerous examples of applications... more...
- World Scientific Publishing Company 1987; US$ 113.00
This book introduces the general aspects of hyperbolic conservation laws and their numerical approximation using some of the most modern tools: spectral methods, unstructured meshes and ?-formulation. The applications of these methods are found in some significant examples such as the Euler equations. This book, a collection of articles by the best... more...
- World Scientific Publishing Company 1994; US$ 110.00
This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed.... more...
- World Scientific Publishing Company 1995; US$ 179.00
Functional differential equations have received attention since the 1920's. Within that development, boundary value problems have played a prominent role in both the theory and applications dating back to the 1960's. This book attempts to present some of the more recent developments from a cross-section of views on boundary value problems... more...
- World Scientific Publishing Company 1996; US$ 127.00
This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich–Lebedev transform, the Mehler–Fock transform, the... more...
- World Scientific Publishing Company 2000; US$ 70.00
Henstock-Kurzweil (HK) integration, which is based on integral sums, can be obtained by an inconspicuous change in the definition of Riemann integration. It is an extension of Lebesgue integration and there exists an HK-integrable function f such that its absolute value more...
- World Scientific Publishing Company 2000; US$ 95.00
Historically, the theory of stability is based on linear differential systems, which are simple and important systems in ordinary differential equations. The research on differential equations and on the theory of stability will, to a certain extent, be influenced by the research on linear differential systems. For differential linear equation systems,... more...
- World Scientific Publishing Company 1998; US$ 81.00
This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative... more...
- World Scientific Publishing Company 2002; US$ 208.00
This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille–Yosida), nonlinear (Crandall–Liggett) and time-dependent (Crandall–Pazy) theorems. The implicit finite difference method of Euler is shown to generate a sequence... more...