This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration …
“The book is focused on the study of stochastic (partial) differential equations of hyperbolic type. … there are several topics treated in the book that may be of interest to specialists working in stochastic multiparameter SDEs and SPDEs, especially for those interested in problems of control and filtering.” (Bohdan Maslowski, Mathematical Reviews, February, 2015).
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 operators: the Laplace, heat, wave, Lam…
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