Qualitative Analysis of Set-Valued Differential Equations /
"The book discusses set-valued differential equations defined in terms of the Hukuhara derivative. Focusing on equations with uncertainty, i.e., including an unknown parameter, it introduces a regularlization method to handle them. The main tools for qualitative analysis are the principle of co...
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| Format: | text |
| Language: | eng |
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Cham, Switzerland : Birkhäuser,
2019
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| _version_ | 1796762638292615168 |
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| author | Martynyuk, A. A. (Anatoly Andreevich), author 636151 |
| author_facet | Martynyuk, A. A. (Anatoly Andreevich), author 636151 |
| author_sort | Martynyuk, A. A. (Anatoly Andreevich), author 636151 |
| collection | OCEAN |
| description | "The book discusses set-valued differential equations defined in terms of the Hukuhara derivative. Focusing on equations with uncertainty, i.e., including an unknown parameter, it introduces a regularlization method to handle them. The main tools for qualitative analysis are the principle of comparison of Chaplygin - Wazhewsky, developed for the scalar, vector and matrix-valued Lyapunov functions and the method of nonlinear integral inequalities, which are used to establish existence, stability or boundedness. Driven by the question of how to model real processes using a set-valued of differential equations, the book lays the theoretical foundations for further study in this area. It is intended for experts working in the field of qualitative analysis of differential and other types of equations." |
| first_indexed | 2024-03-05T16:43:47Z |
| format | text |
| id | KOHA-OAI-TEST:592759 |
| institution | Universiti Teknologi Malaysia - OCEAN |
| language | eng |
| last_indexed | 2024-03-05T16:43:47Z |
| publishDate | 2019 |
| publisher | Cham, Switzerland : Birkhäuser, |
| record_format | dspace |
| spelling | KOHA-OAI-TEST:5927592021-11-01T00:25:19ZQualitative Analysis of Set-Valued Differential Equations / Martynyuk, A. A. (Anatoly Andreevich), author 636151 textCham, Switzerland : Birkhäuser,©20192019eng"The book discusses set-valued differential equations defined in terms of the Hukuhara derivative. Focusing on equations with uncertainty, i.e., including an unknown parameter, it introduces a regularlization method to handle them. The main tools for qualitative analysis are the principle of comparison of Chaplygin - Wazhewsky, developed for the scalar, vector and matrix-valued Lyapunov functions and the method of nonlinear integral inequalities, which are used to establish existence, stability or boundedness. Driven by the question of how to model real processes using a set-valued of differential equations, the book lays the theoretical foundations for further study in this area. It is intended for experts working in the field of qualitative analysis of differential and other types of equations." Includes bibliographical references and index.General properties of set-valued equations -- Analysis of continuous equations -- Discrete-time systems with switching -- Qualitative analysis of impulsive equations -- Stability of systems with aftereffect -- Impulsive systems with aftereffect -- Dynamics of systems with causal operator -- Finite-time stability of standard systems sets -- Postface -- Bibliography -- Index."The book discusses set-valued differential equations defined in terms of the Hukuhara derivative. Focusing on equations with uncertainty, i.e., including an unknown parameter, it introduces a regularlization method to handle them. The main tools for qualitative analysis are the principle of comparison of Chaplygin - Wazhewsky, developed for the scalar, vector and matrix-valued Lyapunov functions and the method of nonlinear integral inequalities, which are used to establish existence, stability or boundedness. Driven by the question of how to model real processes using a set-valued of differential equations, the book lays the theoretical foundations for further study in this area. It is intended for experts working in the field of qualitative analysis of differential and other types of equations." Differential equationsURN:ISBN: |
| spellingShingle | Differential equations Martynyuk, A. A. (Anatoly Andreevich), author 636151 Qualitative Analysis of Set-Valued Differential Equations / |
| title | Qualitative Analysis of Set-Valued Differential Equations / |
| title_full | Qualitative Analysis of Set-Valued Differential Equations / |
| title_fullStr | Qualitative Analysis of Set-Valued Differential Equations / |
| title_full_unstemmed | Qualitative Analysis of Set-Valued Differential Equations / |
| title_short | Qualitative Analysis of Set-Valued Differential Equations / |
| title_sort | qualitative analysis of set valued differential equations |
| topic | Differential equations |
| work_keys_str_mv | AT martynyukaaanatolyandreevichauthor636151 qualitativeanalysisofsetvalueddifferentialequations |