Mathematical Modeling of Discontinuous Processes is popular PDF and ePub book, written by Andrey Antonov in 2017-12-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mathematical Modeling of Discontinuous Processes can be Read Online from any device for your convenience.
Mathematical Modeling of Discontinuous Processes Book PDF Summary
In this monograph as a mathematical apparatus are used and investigated several classes of differential equations. The most significant feature of these differential equations is the presence of impulsive effects. The main goals and the results achieved in the monograph are related to the use of this class of equation for an adequate description of the dynamics of several types of processes that are subject to discrete external interventions and change the speed of development. In all proposed models the following requirements have met: 1) Presented and studied mathematical models in the book are extensions of existing known in the literature models of real objects and related processes. 2) Generalizations of the studied models are related to the admission of external impulsive effects, which lead to “jump-like” change the quantity characteristics of the described object as well as the rate of its modification. 3) Sufficient conditions which guarantee certain qualities of the dynamics of the quantities of the modeled objects are found. 4) Studies of the qualities of the modification of the modeled objects are possible to be successful by differential equations with variable structure and impulsive effects. 5) The considerations relating to the existence of the studied properties of dynamic objects cannot be realized without introducing new concepts and proving of appropriate theorems. The main objectives can be conditionally divided into several parts: 1) New classes of differential equations with variable structure and impulses are introduced and studied; 2) Specific properties of the above-mentioned class of differential equations are introduced and studied. The present monograph consists of an introduction and seven chapters. Each chapter contains several sections.
Detail Book of Mathematical Modeling of Discontinuous Processes PDF
- Author : Andrey Antonov
- Release : 19 December 2017
- Publisher : Scientific Research Publishing, Inc. USA
- ISBN : 9781618964403
- Genre : Mathematics
- Total Page : 239 pages
- Language : English
- PDF File Size : 7,6 Mb
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