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Most popular at the top
- Springer 2013; US$ 89.99
?The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential... more...
- Taylor and Francis 2015; 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 2006; US$ 193.00
This book provides a comprehensive introduction to the numerical methods for the exterior problems in partial differential equations frequently encountered in science and engineering computing. The coverage includes both traditional and novel methods. A concise introduction to the well-posedness of the problems is given, establishing a solid foundation... 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...
- World Scientific Publishing Company 2006; US$ 128.00
The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems. The maximum principle is revisited through the... more...
- World Scientific Publishing Company 2006; US$ 251.00
Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative... more...
- World Scientific Publishing Company 2006; US$ 153.00
The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journal. Seventy years later, it was featured as the second part of Hilbert's Fifth Problem, and it was solved under successively weaker hypotheses by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B Schweizer and A Sklar showed that... more...
- World Scientific Publishing Company 2001; US$ 113.00
The subject of complex vector functional equations is a new area in the theory of functional equations. This monograph provides a systematic overview of the authors' recently obtained results concerning both linear and nonlinear complex vector functional equations, in all aspects of their utilization. It is intended for mathematicians, physicists... more...
- World Scientific Publishing Company 2002; US$ 168.00
This book outlines the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam–Hyers–Rassias... more...