Abstract Volterra integro-differential equations / / Marko Kostic, University of Novi Sad, Faculty of Technical Sciences, Novi Sad, Serbia |
Autore | Kostic Marko <1977, > |
Pubbl/distr/stampa | Boca Raton : , : CRC Press, , [2015] |
Descrizione fisica | 1 online resource (480 p.) |
Disciplina | 515/.45 |
Soggetto topico |
Volterra equations
Integro-differential equations |
ISBN | 0-429-16250-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Cover; Preface; Notations; Introduction; Contents; 1: Preliminaries; 2: (a, k)-Regularized C-Resolvent Families in Locally Convex Spaces; 3: Hypercyclic and Topologically Mixing Properties of Certain Classes of Volterra Integro-Differential Equations; Addendum: Errors and Corrections; Bibliography |
Record Nr. | UNINA-9910788128103321 |
Kostic Marko <1977, >
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Boca Raton : , : CRC Press, , [2015] | ||
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Lo trovi qui: Univ. Federico II | ||
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Abstract Volterra integro-differential equations / / Marko Kostic, University of Novi Sad, Faculty of Technical Sciences, Novi Sad, Serbia |
Autore | Kostic Marko <1977, > |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Boca Raton : , : CRC Press, , [2015] |
Descrizione fisica | 1 online resource (480 p.) |
Disciplina | 515/.45 |
Soggetto topico |
Volterra equations
Integro-differential equations |
ISBN | 0-429-16250-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Cover; Preface; Notations; Introduction; Contents; 1: Preliminaries; 2: (a, k)-Regularized C-Resolvent Families in Locally Convex Spaces; 3: Hypercyclic and Topologically Mixing Properties of Certain Classes of Volterra Integro-Differential Equations; Addendum: Errors and Corrections; Bibliography |
Record Nr. | UNINA-9910815217803321 |
Kostic Marko <1977, >
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Boca Raton : , : CRC Press, , [2015] | ||
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Lo trovi qui: Univ. Federico II | ||
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Analysis and design of nonlinear systems in the frequency domain / / Yunpeng Zhu |
Autore | Zhu Yunpeng |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (xxi, 164 pages) : illustrations |
Disciplina | 003.75 |
Collana | Springer Theses, Recognizing Outstanding Ph.D. Research |
Soggetto topico |
Nonlinear systems - Mathematical models
Volterra equations Sistemes no lineals Models matemàtics Equacions de Volterra |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-70833-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Supervisor's Foreword -- Preface -- Acknowledgements -- Contents -- Contributors -- Abbreviations -- 1 Introduction -- 1.1 Background -- 1.1.1 Modelling of Nonlinear Systems -- 1.1.2 Frequency Domain Analysis and Design of Nonlinear Systems -- 1.1.3 LS Methods in Nonlinear System Analyses -- 1.1.4 Convergence Issues with the Frequency Analysis of Nonlinear Systems -- 1.2 Aim, Objectives and Contributions -- 1.3 Thesis Layout -- References -- 2 Nonlinear Systems and the Frequency Domain Representations -- 2.1 Introduction -- 2.2 Polynomial Models of Nonlinear Systems -- 2.2.1 The NDE Model of Nonlinear Systems -- 2.2.2 The Polynomial NARX Model of Nonlinear Systems -- 2.2.3 The NARX-M-for-D of Nonlinear Systems -- 2.3 The Frequency Domain Representations of Nonlinear Systems -- 2.3.1 The Volterra Series Representation -- 2.3.2 The Generalised Frequency Response Functions (GFRFs) of Nonlinear Systems -- 2.3.3 The Nonlinear Output Frequency Response Functions (NOFRFs) of Nonlinear Systems -- 2.3.4 The Output Frequency Response Function (OFRF) of Nonlinear Systems -- 2.4 Conclusions -- References -- 3 Generalized Associated Linear Equations (GALEs) with Applications to Nonlinear System Analyses -- 3.1 Introduction -- 3.2 The Associated Linear Equations (ALEs) of Nonlinear Systems -- 3.2.1 The ALEs of Duffing Equations -- 3.2.2 The ALEs of the NARX Model -- 3.3 The Generalized Associated Linear Equations (GALEs) -- 3.3.1 The Concept of the GALEs -- 3.3.2 Determination of the GALEs -- 3.4 System Analyses Using the GALEs -- 3.4.1 Evaluation of the Output Response of Nonlinear Systems -- 3.4.2 Evaluation of the NOFRFs of Nonlinear Systems -- 3.4.3 Evaluation of the OFRF of Nonlinear Systems -- 3.5 Application of the GALEs to Nonlinear System Modelling, Fault Diagnosis, and Design.
3.5.1 Application to the Identification of the NDE Model of a Nonlinear System -- 3.5.2 Application to the NOFRFs Based Fault Diagnosis -- 3.5.3 Application to the OFRFs Based Design of Nonlinear Energy Harvester Systems -- 3.6 Conclusions -- References -- 4 The Convergence of the Volterra Series Representation of Nonlinear Systems -- 4.1 Introduction -- 4.2 The NARX Model in the Frequency Domain: Nonlinear Output Characteristic Spectra (NOCS) Model -- 4.3 The Generalized Output Bound Characteristic Function (GOBCF) Based Convergence Analysis -- 4.3.1 A Sufficient Condition of the Convergence -- 4.3.2 The Determination of the GOBCF -- 4.3.3 Convergence Analysis of the Volterra Series Representation of Nonlinear Systems -- 4.3.4 The Procedure for the New Convergence Analysis -- 4.4 Case Studies -- 4.4.1 Case 1-Unplugged Van der Pol Equation -- 4.4.2 Case 2-Duffing Oscillator with Cubic Damping -- 4.5 Conclusions -- References -- 5 The Effects of Both Linear and Nonlinear Characteristic Parameters on the Output Response of Nonlinear Systems -- 5.1 Introduction -- 5.2 The OFRF Based Design of NARX-M-for-D -- 5.2.1 The OFRF of the NARX-M-for-D -- 5.2.2 The Determination of the OFRF of NARX-M-for-D -- 5.2.3 The OFRF Based Design of Nonlinear Systems -- 5.3 The Associated Output Frequency Response Function (AOFRF) -- 5.3.1 Explicit Relationships Between the GFRFs and the Parameters of the NARX Model -- 5.3.2 Two Special Cases -- 5.3.3 The Concept of the Associated Output Frequency Response Function (AOFRF) -- 5.3.4 The AOFRF in Terms of the System Linear and Nonlinear Characteristic Parameters -- 5.3.5 The AOFRF Based Representation of the Output Frequency Response of Nonlinear Systems -- 5.4 Case Studies -- 5.4.1 Case Study 1-The OFRF Based Design of the Vibration Isolation System. 5.4.2 Case Study 2-The AOFRF Based Representation of the Output Spectrum of a Duffing Nonlinear System -- 5.5 Conclusions -- References -- 6 Nonlinear Damping Based Semi-active Building Isolation System -- 6.1 Introduction -- 6.2 Semi-active Damping System for the Sosokan Building -- 6.2.1 The Sosokan Building and Its Model Representation -- 6.2.2 Semi-active Damping System for the Sosokan Building -- 6.3 Nonlinear Damping Based Semi-active Building Vibration Isolation -- 6.4 Simulation Studies -- 6.4.1 Objectives of Nonlinear Damping Design -- 6.4.2 Effects of Nonlinear Damping Coefficient -- 6.4.3 Effects of Ground Excitation Magnitude -- 6.4.4 Isolation Performance on Higher Floors -- 6.4.5 Isolation Performance in Terms of the Roof Drift -- 6.4.6 Isolation Performance in Terms of Harmonics and a Comparison with the Performance Under LQG Control -- 6.5 Experimental Validation -- 6.6 Conclusions -- References -- 7 Conclusions -- 7.1 Main Contributions of the Present Research -- 7.2 Future Works -- Appendix A Sampling Frequency Independence -- Appendix B Proof of Lemma 5.1. |
Record Nr. | UNINA-9910484062803321 |
Zhu Yunpeng
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Cham, Switzerland : , : Springer, , [2021] | ||
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Lo trovi qui: Univ. Federico II | ||
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Evolutionary integral equations and applications / Jan Pruss |
Autore | Pruss, Jan |
Pubbl/distr/stampa | Basel ; Boston ; Berlin : Birkhauser, 1993 |
Descrizione fisica | xxvi, 366 p. : ill. ; 24 cm. |
Disciplina | 515.45 |
Collana | Monographs in mathematics ; 87 |
Soggetto topico |
Systems of linear integral equations
Volterra equations |
ISBN | 3764328762 |
Classificazione |
AMS 45D05
AMS 45F |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000880409707536 |
Pruss, Jan
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Basel ; Boston ; Berlin : Birkhauser, 1993 | ||
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Lo trovi qui: Univ. del Salento | ||
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Global dynamical properties of Lotka-Volterra systems / Y. Takeuchi |
Autore | Takeuchi, Y. |
Pubbl/distr/stampa | Singapore ; River Edge, N. J. : World Scientific, c1996 |
Descrizione fisica | xii, 302 p. : ill. ; 23 cm |
Disciplina | 577.880151 |
Soggetto topico |
Population biology - Mathematical models
Population forecasting - Mathematical models Volterra equations |
ISBN | 9810224710 |
Classificazione |
AMS 92D25
LC QH352.T35 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001708419707536 |
Takeuchi, Y.
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Singapore ; River Edge, N. J. : World Scientific, c1996 | ||
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Lo trovi qui: Univ. del Salento | ||
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Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi |
Autore | Lorenzi A. |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht, the Netherlands : , : VSP, , 1999 |
Descrizione fisica | 1 online resource (352 pages) |
Disciplina | 510 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Wave equation
Waves - Mathematics Nonlinear wave equations Inverse problems (Differential equations) Volterra equations Number theory |
Soggetto genere / forma | Electronic books. |
ISBN | 3-11-094329-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- Chapter 2. Volterra operator equations -- Chapter 3. Inverse problems for Maxwell's equations -- Chapter 4. Linearization and Newton - Kantorovich method -- Chapter 5. The Gel'fand - Levitan Method -- Chapter 6. Regularization -- Chapter 7. The method of the optimal control -- Chapter 8. Inversion of finite-difference schemes -- Chapter 9. Strongly ill-posed problems -- Chapter 10. Identification problems related to first-order scalar semilinear equations -- Chapter 11. An identification problem for a first-order integro-differential equation -- Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics -- Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation -- Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems -- Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation -- Chapter 16. Inverse problems in Electromagnetoelasticity -- Bibliography |
Record Nr. | UNINA-9910463702703321 |
Lorenzi A.
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Utrecht, the Netherlands : , : VSP, , 1999 | ||
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Lo trovi qui: Univ. Federico II | ||
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Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi |
Autore | Lorenzi A. |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht, the Netherlands : , : VSP, , 1999 |
Descrizione fisica | 1 online resource (352 pages) |
Disciplina | 510 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Wave equation
Waves - Mathematics Nonlinear wave equations Inverse problems (Differential equations) Volterra equations Number theory |
ISBN | 3-11-094329-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- Chapter 2. Volterra operator equations -- Chapter 3. Inverse problems for Maxwell's equations -- Chapter 4. Linearization and Newton - Kantorovich method -- Chapter 5. The Gel'fand - Levitan Method -- Chapter 6. Regularization -- Chapter 7. The method of the optimal control -- Chapter 8. Inversion of finite-difference schemes -- Chapter 9. Strongly ill-posed problems -- Chapter 10. Identification problems related to first-order scalar semilinear equations -- Chapter 11. An identification problem for a first-order integro-differential equation -- Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics -- Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation -- Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems -- Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation -- Chapter 16. Inverse problems in Electromagnetoelasticity -- Bibliography |
Record Nr. | UNINA-9910788955003321 |
Lorenzi A.
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Utrecht, the Netherlands : , : VSP, , 1999 | ||
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Lo trovi qui: Univ. Federico II | ||
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Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi |
Autore | Lorenzi A. |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht, the Netherlands : , : VSP, , 1999 |
Descrizione fisica | 1 online resource (352 pages) |
Disciplina | 510 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Wave equation
Waves - Mathematics Nonlinear wave equations Inverse problems (Differential equations) Volterra equations Number theory |
ISBN | 3-11-094329-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- Chapter 2. Volterra operator equations -- Chapter 3. Inverse problems for Maxwell's equations -- Chapter 4. Linearization and Newton - Kantorovich method -- Chapter 5. The Gel'fand - Levitan Method -- Chapter 6. Regularization -- Chapter 7. The method of the optimal control -- Chapter 8. Inversion of finite-difference schemes -- Chapter 9. Strongly ill-posed problems -- Chapter 10. Identification problems related to first-order scalar semilinear equations -- Chapter 11. An identification problem for a first-order integro-differential equation -- Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics -- Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation -- Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems -- Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation -- Chapter 16. Inverse problems in Electromagnetoelasticity -- Bibliography |
Record Nr. | UNINA-9910814642503321 |
Lorenzi A.
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Utrecht, the Netherlands : , : VSP, , 1999 | ||
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Lo trovi qui: Univ. Federico II | ||
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Integral transforms and Volterra functions [[electronic resource] /] / Alexander Apelblat |
Autore | Apelblat Alexander |
Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2010 |
Descrizione fisica | 1 online resource (237 p.) |
Disciplina | 515/.723 |
Collana | Mathematics research developments |
Soggetto topico |
Laplace transformation
Integral transforms Volterra equations |
Soggetto genere / forma | Electronic books. |
ISBN | 1-61668-899-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Laplace transforms of the volterra functions -- Application of the Laplace transform properties -- Laplace transforms expressible in terms of the volterra functions -- Integral formulas involving the volterra functions -- Interrelations between the volterra functions and other special functions -- Volterra functions and other integral transformations -- Volterra functions and the two-dimensional Laplace transformation -- Volterra functions and other two-dimensional integral transformations. |
Record Nr. | UNINA-9910457767903321 |
Apelblat Alexander
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Hauppauge, N.Y., : Nova Science Publishers, c2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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Integral transforms and Volterra functions [[electronic resource] /] / Alexander Apelblat |
Autore | Apelblat Alexander |
Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2010 |
Descrizione fisica | 1 online resource (237 p.) |
Disciplina | 515/.723 |
Collana | Mathematics research developments |
Soggetto topico |
Laplace transformation
Integral transforms Volterra equations |
ISBN | 1-61668-899-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Laplace transforms of the volterra functions -- Application of the Laplace transform properties -- Laplace transforms expressible in terms of the volterra functions -- Integral formulas involving the volterra functions -- Interrelations between the volterra functions and other special functions -- Volterra functions and other integral transformations -- Volterra functions and the two-dimensional Laplace transformation -- Volterra functions and other two-dimensional integral transformations. |
Record Nr. | UNINA-9910781650003321 |
Apelblat Alexander
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Hauppauge, N.Y., : Nova Science Publishers, c2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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