differential equations with maxima

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Differential Equations With Maxima

Author : Drumi D. Bainov
ISBN : 9781439867587
Genre : Mathematics
File Size : 83. 83 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.

Hadamard Type Fractional Differential Equations Inclusions And Inequalities

Author : Bashir Ahmad
ISBN : 9783319521411
Genre : Mathematics
File Size : 59. 51 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 : 75. 35 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 : 85. 52 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

Mathematics For Engineers And Science Labs Using Maxima

Author : Seifedine Kadry
ISBN : 9780429891588
Genre : Mathematics
File Size : 66. 59 MB
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This book is designed to be a vital companion to math textbooks covering the topics of precalculus, calculus, linear algebra, differential equations, and probability and statistics. While these existing textbooks focus mainly on solving mathematic problems using the old paper-and-pencil method, this book teaches how to solve these problems using Maxima open-source software. Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, sets, lists, vectors, and matrices. One of the benefits of using Maxima to solve mathematics problems is the immediacy with which it produces answers. Investing in learning Maxima now will pay off in the future, particularly for students and beginning professionals in mathematics, science, and engineering. The volume will help readers to apply nearly all of the Maxima skills discussed here to future courses and research.

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 : 82. 92 MB
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Annals Of Differential Equations

Author :
ISBN : UOM:39015060909762
Genre : Differential equations
File Size : 84. 34 MB
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Oscillation Theory For Neutral Differential Equations With Delay

Author : D.D Bainov
ISBN : 0750301422
Genre : Mathematics
File Size : 87. 46 MB
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With neutral differential equations, any lack of smoothness in initial conditions is not damped and so they have proven to be difficult to solve. Until now, there has been little information to help with this problem. Oscillation Theory for Neutral Differential Equations with Delay fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, this authoritative book provides a stimulus to research the oscillatory and asymptotic properties of these equations. It examines equations of first, second, and higher orders as well as the asymptotic behavior for tending toward infinity. These results are then generalized for partial differential equations of neutral type. The book also describes the historical development of the field and discusses applications in mathematical models of processes and phenomena in physics, electrical control and engineering, physical chemistry, and mathematical biology. This book is an important tool not only for mathematicians, but also for specialists in many fields including physicists, engineers, and biologists. It may be used as a graduate-level textbook or as a reference book for a wide range of subjects, from radiophysics to electrical and control engineering to biological science.

Mathematical Handbook For Scientists And Engineers

Author : Granino A. Korn
ISBN : 9780486320236
Genre : Technology & Engineering
File Size : 77. 7 MB
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Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

Communications In Applied Analysis

Author :
ISBN : UOM:39015053345388
Genre : Mathematical analysis
File Size : 88. 50 MB
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