The resolvent family for evolutionary processes with memory and applications /
Evolutionary processes with memory exist extensively in the world. The presence of memory poses significant challenges for understanding, analyzing, predicting and synthesizing these processes. This book studies properties of evolutionary processes with memory by introducing a pair of bounded linear...
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| Format: | Book |
| Language: | English |
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Newcastle upon Tyne, UK :
Cambridge Scholars Publishing,
2024.
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| Summary: | Evolutionary processes with memory exist extensively in the world. The presence of memory poses significant challenges for understanding, analyzing, predicting and synthesizing these processes. This book studies properties of evolutionary processes with memory by introducing a pair of bounded linear operators, known as resolvent family, to represent solutions. The generation issue of resolvent family is also discussed. Additionally, this book presents the dual problem of evolutionary processes, including solvability issues related to semi-linear equations and linear equations with time-varying memory. Finally, it explores invariant subspace and spectral issues related to evolutionary process with memory. |
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| Physical Description: | x, 357 pages ; 22 cm. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1036406237 9781036406233 |