differential equations with maxima

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Differential Equations With Maxima

Author : Drumi D. Bainov
ISBN : 9781439867587
Genre : Mathematics
File Size : 23. 21 MB
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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 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.

Oscillation Theory Of Second Order Differential Equations With Maxima

Author : Ethiraju Thandapani
ISBN : 3330350571
Genre :
File Size : 75. 57 MB
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Maxima Programmes For Differential Equations Using Foss Maxima A Book Of Programmes Using Maxima For Differential Equations

Author : Dr Yogeesh N
ISBN : 1728765579
Genre : Education
File Size : 62. 38 MB
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The main idea of bringing out this manual book is to make Teachers and students of Mathematics, are more easy towards doing mathematics practical

Hadamard Type Fractional Differential Equations Inclusions And Inequalities

Author : Bashir Ahmad
ISBN : 9783319521411
Genre : Mathematics
File Size : 83. 3 MB
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This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Through a comprehensive study based in part on their recent research, the authors address the issues related to initial and boundary value problems involving Hadamard type differential equations and inclusions as well as their functional counterparts. The book covers fundamental concepts of multivalued analysis and introduces a new class of mixed initial value problems involving the Hadamard derivative and Riemann-Liouville fractional integrals. In later chapters, the authors discuss nonlinear Langevin equations as well as coupled systems of Langevin equations with fractional integral conditions. Focused and thorough, this book is a useful resource for readers and researchers interested in the area of fractional calculus.

Differential Equations The Second International Colloquium

Author : Bainov Drumi D
ISBN : 9789814554510
Genre :
File Size : 39. 64 MB
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Stabilit Tstheorie

Author : P.C. Parks
ISBN : 3540110011
Genre : Technology & Engineering
File Size : 62. 15 MB
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Das vorliegende Buch entstand aus der ausgearbeiteten Mitschrift der Vorlesung "Stabilitätstheorie", die Herr Prof. Parks im Winter semester 1979/80 als Gastprofessor an der Ruhr-Universität in Bochum hielt. Diese Vorlesung wandte sich an Studenten der Regelungstechnik, die über Grundkenntnisse der mathematischen Beschreibung dynamischer Vorgänge mittels Differentialgleichungen verfügten. Obwohl die Sta bilität dynamischer Systeme vom technischen Standpunkt aus darge stellt wird, ist das Buch auch für den Leser von Interesse, der mit dynamischen Prozessen im nichttechnischen Bereich, z. B. der Biokyber netik, der Meteorologie, usw. zu tun hat. Das Buch erfordert - abge sehen von dem Verständnis zur Beschreibung dynamischer Vorgäng- keine besonderen Vorkenntnisse vom Leser und ist als Einführung in das Gebiet gut geeignet. Andererseits wird ein Uberblick über sehr viele Methoden der Stabilitätsprüfung gegeben, so daß es für den jenigen, der sich schnell über eine Methode informieren will, durch aus als "Nachschlagewerk" verwendbar ist. Besonderer Wert wurde da rauf gelegt, nicht nur die Anwendung der einzelnen Methoden, sondern auch ihre Ableitung und ihre Zusammenhänge dazustellen. Insofern ist das Buch eine sinnvolle Ergänzung der bisherigen Lehrbuchliteratur auf dem Gebiet der Stabilität dynamischer Systeme. Ich wünsche dem vorliegenden Buch, daß es vor allem auch in der Praxis Interesse findet und Anlaß zur weiteren Anwendung der vor geschlagenen Verfahren wird. Professor Dr. -Ing. H. Unbehauen Lehrstuhl für Elektrische Steuerung und Regelung Ruhr-Universität Bochum Bochum, im Sommer 1981 Inhaltsverzeichnis 0. Einführung •. . . . . . •. . . . . . . . . . . . . . . ••. . ••. •. ••. . •. . . •. . . . . . 1. Stabilitätstheorie linearer Systeme . . . . . . . •. •. . . . . . . . . . . .

Proceedings Of The Third International Colloquium On Differential Equations

Author : Drumi D. Bainov
ISBN : 9067641537
Genre : Science
File Size : 33. 16 MB
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The Third International Colloquium on Differential Equations was organized by UNESCO and the Plovdiv Technical University, with the help of many international mathematical organizations, and was held in Plovdiv, Bulgaria, 18--22 August 1992. This proceedings volume contains selected invited talks which deal with the following topics: -- impulsive differential equations -- nonlinear differential equations -- differential equations with maxima -- applications of differential equations

Invited Lectures Delivered At The Sixth International Colloquium On Differential Equations August 18 23 1995 Plovdiv Bulgaria

Author : Dimitŭr Baĭnov
ISBN : CORNELL:31924079652370
Genre : Mathematics
File Size : 76. 77 MB
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Calculus And Ordinary Differential Equations

Author : David Pearson
ISBN : 9780080928654
Genre : Mathematics
File Size : 43. 62 MB
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Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

Annals Of Differential Equations

Author :
ISBN : UOM:39015060909762
Genre : Differential equations
File Size : 22. 28 MB
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