Differential equations with "maxima"differential equations that contain the maximum of the unknown function over a previous intervaladequately model real-world processes whose present sta… Mehr…
Differential equations with "maxima"differential equations that contain the maximum of the unknown function over a previous intervaladequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of differential equations with maxima opens the door to enormous possibilities for applications to real-world processes and phenomena. Presenting the qualitative theory and approximate methods, Differential Equations with Maxima begins with an introduction to the mathematical apparatus of integral inequalities involving maxima of unknown functions. The authors solve various types of linear and nonlinear integral inequalities, study both cases of single and double integral inequalities, and illustrate several direct applications of solved inequalities. They also present general properties of solutions as well as existence results for initial value and boundary value problems. Later chapters offer stability results with definitions of different types of stability with sufficient conditions and include investigations based on appropriate modifications of the Razumikhin technique by applying Lyapunov functions. The text covers the main concepts of oscillation theory and methods applied to initial and boundary value problems, combining the method of lower and upper solutions with appropriate monotone methods and introducing algorithms for constructing sequences of successive approximations. The book concludes with a systematic development of the averaging method for differential equations with maxima as applied to first-order and neutral equations. It also explores different schemes for averaging, partial averaging, partially additive averaging, and partially multiplicative averaging. A solid overview of the field, this book guides theoretical and applied researchers in mathematics toward further investigations and applications of these equations for a more accurate study of real-world problems. Mathematics Mathematics eBook, CRC Press<
Differential equations with maxima—differential equations that contain the maximum of the unknown function over a previous interval—adequately model real-world processes whose p… Mehr…
Differential equations with maxima—differential equations that contain the maximum of the unknown function over a previous interval—adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of differential equations with maxima opens the door to enormous possibilities for applications to real-world processes and phenomena.Presenting the qualitative theory and approximate methods, Differential Equations with Maxima begins with an introduction to the mathematical apparatus of integral inequalities involving maxima of unknown functions. The authors solve various types of linear and nonlinear integral inequalities, study both cases of single and double integral inequalities, and illustrate several direct applications of solved inequalities. They also present general properties of solutions as well as existence results for initial value and boundary value problems.Later chapters offer stability results with definitions of different types of stability with sufficient conditions and include investigations based on appropriate modifications of the Razumikhin technique by applying Lyapunov functions. The text covers the main concepts of oscillation theory and methods applied to initial and boundary value problems, combining the method of lower and upper solutions with appropriate monotone methods and introducing algorithms for constructing sequences of successive approximations. The book concludes with a systematic development of the averaging method for differential equations with maxima as applied to first-order and neutral equations. It also explores different schemes for averaging, partial averaging, partially additiv New Textbooks>Hardcover>Science>Mathematics>Mathematics, Taylor & Francis Core >2 >T<
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Hardback, [PU: Taylor & Francis Inc], Differential equations with "maxima"-differential equations that contain the maximum of the unknown function over a previous interval-adequately mode… Mehr…
Hardback, [PU: Taylor & Francis Inc], Differential equations with "maxima"-differential equations that contain the maximum of the unknown function over a previous interval-adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of differential equations with maxima opens the door to enormous possibilities for applications to real-world processes and phenomena.
Presenting the qualitative theory and approximate methods, Differential Equations with Maxima begins with an introduction to the mathematical apparatus of integral inequalities involving maxima of unknown functions. The authors solve various types of linear and nonlinear integral inequalities, study both cases of single and double integral inequalities, and illustrate several direct applications of solved inequalities. They also present general properties of solutions as well as existence results for initial value and boundary value problems.
Later chapters offer stability results with definitions of different types of stability with sufficient conditions and include investigations based on appropriate modifications of the Razumikhin technique by applying Lyapunov functions. The text covers the main concepts of oscillation theory and methods applied to initial and boundary value problems, combining the method of lower and upper solutions with appropriate monotone methods and introducing algorithms for constructing sequences of successive approximations. The book concludes with a systematic development of the averaging method for differential equations with maxima as applied to first-order and neutral equations. It also explores different schemes for averaging, partial averaging, partially additiv, Differential Calculus & Equations<
Hardback, [PU: Taylor & Francis Inc], Differential equations with maxima--differential equations that contain the maximum of the unknown function over a previous interval--adequately mode… Mehr…
Hardback, [PU: Taylor & Francis Inc], Differential equations with maxima--differential equations that contain the maximum of the unknown function over a previous interval--adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. This book guides readers toward further investigations and applications of these equations for a more accurate study of real-world problems. It explains how to find solutions to initial value and boundary value problems as well as how to study stability and oscillatory properties of solutions. It also presents a systematic development of the averaging method., Differential Calculus & Equations<
Differential equations with "maxima"differential equations that contain the maximum of the unknown function over a previous intervaladequately model real-world processes whose present sta… Mehr…
Differential equations with "maxima"differential equations that contain the maximum of the unknown function over a previous intervaladequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of differential equations with maxima opens the door to enormous possibilities for applications to real-world processes and phenomena. Presenting the qualitative theory and approximate methods, Differential Equations with Maxima begins with an introduction to the mathematical apparatus of integral inequalities involving maxima of unknown functions. The authors solve various types of linear and nonlinear integral inequalities, study both cases of single and double integral inequalities, and illustrate several direct applications of solved inequalities. They also present general properties of solutions as well as existence results for initial value and boundary value problems. Later chapters offer stability results with definitions of different types of stability with sufficient conditions and include investigations based on appropriate modifications of the Razumikhin technique by applying Lyapunov functions. The text covers the main concepts of oscillation theory and methods applied to initial and boundary value problems, combining the method of lower and upper solutions with appropriate monotone methods and introducing algorithms for constructing sequences of successive approximations. The book concludes with a systematic development of the averaging method for differential equations with maxima as applied to first-order and neutral equations. It also explores different schemes for averaging, partial averaging, partially additive averaging, and partially multiplicative averaging. A solid overview of the field, this book guides theoretical and applied researchers in mathematics toward further investigations and applications of these equations for a more accurate study of real-world problems. Mathematics Mathematics eBook, CRC Press<
Differential equations with maxima—differential equations that contain the maximum of the unknown function over a previous interval—adequately model real-world processes whose p… Mehr…
Differential equations with maxima—differential equations that contain the maximum of the unknown function over a previous interval—adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of differential equations with maxima opens the door to enormous possibilities for applications to real-world processes and phenomena.Presenting the qualitative theory and approximate methods, Differential Equations with Maxima begins with an introduction to the mathematical apparatus of integral inequalities involving maxima of unknown functions. The authors solve various types of linear and nonlinear integral inequalities, study both cases of single and double integral inequalities, and illustrate several direct applications of solved inequalities. They also present general properties of solutions as well as existence results for initial value and boundary value problems.Later chapters offer stability results with definitions of different types of stability with sufficient conditions and include investigations based on appropriate modifications of the Razumikhin technique by applying Lyapunov functions. The text covers the main concepts of oscillation theory and methods applied to initial and boundary value problems, combining the method of lower and upper solutions with appropriate monotone methods and introducing algorithms for constructing sequences of successive approximations. The book concludes with a systematic development of the averaging method for differential equations with maxima as applied to first-order and neutral equations. It also explores different schemes for averaging, partial averaging, partially additiv New Textbooks>Hardcover>Science>Mathematics>Mathematics, Taylor & Francis Core >2 >T<
Hardback, [PU: Taylor & Francis Inc], Differential equations with "maxima"-differential equations that contain the maximum of the unknown function over a previous interval-adequately mode… Mehr…
Hardback, [PU: Taylor & Francis Inc], Differential equations with "maxima"-differential equations that contain the maximum of the unknown function over a previous interval-adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of differential equations with maxima opens the door to enormous possibilities for applications to real-world processes and phenomena.
Presenting the qualitative theory and approximate methods, Differential Equations with Maxima begins with an introduction to the mathematical apparatus of integral inequalities involving maxima of unknown functions. The authors solve various types of linear and nonlinear integral inequalities, study both cases of single and double integral inequalities, and illustrate several direct applications of solved inequalities. They also present general properties of solutions as well as existence results for initial value and boundary value problems.
Later chapters offer stability results with definitions of different types of stability with sufficient conditions and include investigations based on appropriate modifications of the Razumikhin technique by applying Lyapunov functions. The text covers the main concepts of oscillation theory and methods applied to initial and boundary value problems, combining the method of lower and upper solutions with appropriate monotone methods and introducing algorithms for constructing sequences of successive approximations. The book concludes with a systematic development of the averaging method for differential equations with maxima as applied to first-order and neutral equations. It also explores different schemes for averaging, partial averaging, partially additiv, Differential Calculus & Equations<
Hardback, [PU: Taylor & Francis Inc], Differential equations with maxima--differential equations that contain the maximum of the unknown function over a previous interval--adequately mode… Mehr…
Hardback, [PU: Taylor & Francis Inc], Differential equations with maxima--differential equations that contain the maximum of the unknown function over a previous interval--adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. This book guides readers toward further investigations and applications of these equations for a more accurate study of real-world problems. It explains how to find solutions to initial value and boundary value problems as well as how to study stability and oscillatory properties of solutions. It also presents a systematic development of the averaging method., Differential Calculus & Equations<
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Certain qualitative and approximate methods are needed to solve problems of differential equations with maxima, which depend on the maximum value of a state on past time intervals. One of the few up-to-date references on the topic, this book develops these qualitative and approximate methods of analysis for nonlinear differential equations with maxima. It explains the underlying theory of differential equations and how to accurately model real-world applications, including automatic control systems. It also covers how to solve initial value and boundary value problems of differential equations with maxima.
Detailangaben zum Buch - Differential Equations with Maxima
EAN (ISBN-13): 9781439867570 ISBN (ISBN-10): 1439867577 Gebundene Ausgabe Erscheinungsjahr: 2011 Herausgeber: Taylor & Francis Inc
Buch in der Datenbank seit 2012-05-03T23:46:50+02:00 (Berlin) Detailseite zuletzt geändert am 2022-09-23T12:01:01+02:00 (Berlin) ISBN/EAN: 9781439867570
ISBN - alternative Schreibweisen: 1-4398-6757-7, 978-1-4398-6757-0 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: hristova, lyapunov Titel des Buches: maxima, edition
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