Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The authors have succeeded admirably in bringing together a wealth of recent material, much of which appears in book form for the first time. This authoritative work is likely to become a standard reference on both the Laplace transform and its applications to the abstract Cauchy problem. … The book is an excellent textbook as well. Proofs are always transparent and complete, and many topics that could have been considered as background material are covered as well. All this makes the text very accessible and self-contained. Applications to concrete differential operators are given throughout the text. Each chapter ends with historical and bibliographical comments. … In summary, this book will be of interest to a wide audience of (functional) analysts and it should have a place in every mathematics library. Warmly recommended! Jan van Neerven, Nieuw Archief voor Wiskunde, No. 3, 2003.

Automatic control. --- Calculus of residues. --- Cauchy problems. --- Laplace transform. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Laplace transformation. --- Cauchy problem. --- Transformation, Laplace --- Mathematics. --- Partial differential equations. --- Partial Differential Equations. --- Differential equations, Partial --- Calculus, Operational --- Differential equations --- Transformations (Mathematics) --- Differential equations, partial. --- Partial differential equations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This Special Issue collects original research articles discussing cutting-edge work as well as perspectives on future directions in the whole range of theoretical and practical aspects in these research areas: i) Theory of fuzzy systems and soft computing; ii) Learning procedures; iii) Decision-making applications employing fuzzy logic and soft computing.

Research & information: general --- Mathematics & science --- fuzzy partition --- fuzzy transform --- new iterative method --- Cauchy problems --- ANFIS --- basmati rice --- image processing --- grading --- quality assessment --- fuzzy inference system --- causality --- statistics --- concept-mapping --- causal graph --- numerical methods --- systems of ordinary differential equations --- NIM --- fuzzy logics --- linear motion blur --- fuzzy deblurring --- electron beam calibration --- signal and image processing --- propagation modeling --- adaptive-network-based fuzzy system --- LoRa &amp --- LoRaWAN --- radio wave propagation --- artificial neural networks --- subtracting clustering --- dual double fuzzy semi-metric --- double fuzzy semi-metric --- fuzzy semi-metric space --- triangle inequality --- triangular norm --- eye gaze tracking --- interval type-2 fuzzy logic --- vision system --- mobile robots --- intelligent control --- ordered fuzzy number --- fuzzy relation --- preorder --- strict order --- equivalence relation --- variable neighborhood search --- experimental comparison --- statistical analysis --- traveling salesman problem --- soft computing --- modeling --- vector optimization --- methods of solution of vector problems --- optimal decision-making --- numerical realization of decision-making --- n/a