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Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control / / by N. U. Ahmed, Shian Wang
| Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control / / by N. U. Ahmed, Shian Wang |
| Autore | Ahmed N. U (Nasir Uddin) |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (xiii, 227 pages) |
| Disciplina | 515.355 |
| Collana | Mathematics and Statistics Series |
| Soggetto topico |
Differential equations
System theory Control theory Functional analysis Mathematics Engineering mathematics Differential Equations Systems Theory, Control Functional Analysis Applications of Mathematics Engineering Mathematics Equacions d'evolució no lineal Espais de Banach |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
3-031-37260-3
9783031372605 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Background Materials From Analysis -- 1.1 Introduction -- 1.2 Vector-Valued Measures -- 1.3 Multi Valued Functions -- 1.4 Bibliographical Notes -- 2 Measure Solutions for Deterministic Evolution Equations -- 2.1 Evolution Equations with Continuous Vector Fields -- 2.1.1 Motivation -- 2.1.2 Introduction -- 2.2 Evolution Equations Under Relaxed Hypothesis -- 2.2.1 Competing Notions of Solutions -- 2.2.2 Quasilinear Problems -- 2.3 Evolution Equations with Measurable Vector Fields -- 2.3.1 Introduction -- 2.3.2 Existence of Measure Solutions -- 2.3.3 Differential Equations on the Space of Measures -- 2.4 Bibliographical Notes -- 3 Measure Solutions for Impulsive Systems -- 3.1 Introduction -- 3.2 Spaces of Measure-Valued Functions -- 3.3 Measure-Valued Solutions -- 3.3.1 Existence of Measure Solutions -- 3.3.2 Measure Solutions vs. Pathwise Solutions -- 3.4 Differential Equations on the Space of Measures -- 3.5 Differential Inclusions -- 3.5.1 Classical Model -- 3.5.2 General Model -- 3.6 Bibliographical Notes -- 4 Measure Solutions for Stochastic Systems -- 4.1 Introduction -- 4.2 Existence of Measure Solutions -- 4.2.1 Martingale vs. Generalized Solutions -- 4.2.2 Some Illustrative Examples -- 4.3 Stochastic Systems Driven by Martingale Measures -- 4.3.1 Special Vector Spaces -- 4.3.2 Some Basic Properties of the Martingale Measure M -- 4.3.3 Basic Formulation of the System -- 4.3.4 Existence of Measure Solutions -- 4.4 Extension to Measurable Vector Fields -- 4.5 Bibliographical Notes -- 5 Measure Solutions for Neutral Evolution Equations -- 5.1 Introduction -- 5.2 Basic Background Materials -- 5.3 Existence of Measure Solutions and Their Regularity -- 5.4 Stochastic Neutral Systems -- 5.4.1 Basic Background Materials -- 5.4.2 Existence of Measure Solutions and Their Regularity.
5.5 Second Order Neutral Differential Equations -- 5.5.1 Introduction -- 5.5.2 Some Basic Notations -- 5.5.3 System Models -- 5.5.4 System Models Generating C0-Group -- 5.5.5 Existence and Regularity of Solutions -- 5.6 Stochastic Second Order Neutral Systems -- 5.7 Bibliographical Notes -- 6 Optimal Control of Evolution Equations -- 6.1 Optimal Control of Deterministic Systems -- 6.2 Optimal Control of Impulsive Systems -- 6.3 Optimal Control of Stochastic Systems -- 6.4 Optimal Control of Neutral Systems -- 6.4.1 Deterministic Neutral Systems (DNS) -- 6.4.2 Stochastic Neutral Systems (SNS) -- 6.5 Bibliographical Notes -- 7 Examples From Physical Sciences -- 7.1 Nonlinear Schrödinger Equation -- 7.1.1 Basic Formulation of the System Model -- 7.1.2 Existence and Uniqueness of Solutions -- 7.2 Stochastic Navier-Stokes Equation -- 7.3 Reaction Diffusion Equation (Biomedical Application) -- 7.4 Bibliographical Notes -- Reference -- Index. |
| Record Nr. | UNINA-9910741164503321 |
Ahmed N. U (Nasir Uddin)
|
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal control of dynamic systems driven by vector measures : theory and applications / / N.U. Ahmed, Shian Wang
| Optimal control of dynamic systems driven by vector measures : theory and applications / / N.U. Ahmed, Shian Wang |
| Autore | Ahmed N. U (Nasir Uddin) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (328 pages) |
| Disciplina | 629.8312 |
| Soggetto topico |
Control theory
Teoria de control Anàlisi de sistemes Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-82139-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466410603316 |
|
Ahmed N. U (Nasir Uddin)
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Optimal Control of Dynamic Systems Driven by Vector Measures : Theory and Applications / / by N. U. Ahmed, Shian Wang
| Optimal Control of Dynamic Systems Driven by Vector Measures : Theory and Applications / / by N. U. Ahmed, Shian Wang |
| Autore | Ahmed N. U (Nasir Uddin) |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021 |
| Descrizione fisica | 1 online resource (328 pages) |
| Disciplina | 629.8312 |
| Soggetto topico |
Differential equations
Stochastic processes System theory Control theory Mathematical optimization Calculus of variations Mathematical analysis Differential Equations Stochastic Systems and Control Systems Theory, Control Calculus of Variations and Optimization Analysis Teoria de control Anàlisi de sistemes Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-82139-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Mathematical Preliminaries -- 2 Linear Systems -- 3 Nonlinear Systems -- 4 Optimal Control: Existence Theory -- Optimal Control: Necessary Conditions of Optimality -- 6 Stochastic Systems Controlled by Vector Measures -- 7 Applications to Physical Examples -- Bibliography -- Index. |
| Record Nr. | UNINA-9910503005803321 |
|
Ahmed N. U (Nasir Uddin)
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||