Groshicage Differential Equations and the Calculus of Variations This quite naturally brings up the question of the effect of a small change in the initial values on the sought-for solution. Direct Methods In Variational Problems 2. First-Order Dillerential Equations 2. The Moving-Boundary Problem for a Functional. A solution of a differential equation is a function which, when substituted into the differential equation, reduces it to an iOentity.
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About this title Originally published in the Soviet Union, this text is meant for students of higher schools and deals with the most important sections of mathematics - differential equations and the calculus of variations.
The first part describes the theory of differential equations and reviews the methods for integrating these equations and investigating their solutions. The second part gives an idea of the calculus of variations and surveys the methods for solving variational problems. The book contains a large number of examples and problems with solutions involving applications of mathematics to physics and mechanics.
Apart from its main purpose the textbook is of interest to expert mathematicians. His research work was dedicated to the calculus of variations and differential equations. He worked out the theory of differential equations with deviating arguments and supplied methods for their solution. Lev Elsgolts was the author of many printed works.
In addition to his research work Lev Elsgolts taught at higher schools for over twenty years. Among others, he wrote the well-known books "Qualitative Methods in Mathematical Analysis" and "Introduction to the Theory of Differential Equations with eviating Arguments.
ELSGOLTS CALCULUS OF VARIATIONS PDF
In this notation, 1. Nonhomogeneous Linear Equations with Constant Coefficients and 8. F 10, r0, r0. Consequently, the problem reduces to integrating this differential equation. The procedure of finding the solutions of a differential equation is called integration of the differential equation.
ISBN 13: 9781410210678
Differential Equations And The Calculus Of Variations