Lectures On the Calculus of Variations the Weierstrassian Theory
The book Lectures On the Calculus of Variations the Weierstrassian Theory was written by author Harris Hancock Here you can read free online of Lectures On the Calculus of Variations the Weierstrassian Theory book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Lectures On the Calculus of Variations the Weierstrassian Theory a good or bad book?
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We have yet to show that the first integral is also positive, if F-C^>o. After a known theorem in differential equations it is always possible, as soon as the equation dt is integrated through a continuous function u of ^, which within and on the boundaries of the interval / . . . .^ nowhere vanishes, also to integrate the differential equation d_ dt through a continuous function of /, which, if k does not exceed certain limits, deviates indefinitely little throughout its whole trace from u, an...d may therefore be represented in the form /t l . 77 I / / l"\ Iw ** ( ^ V) tv Jj where (^, k} becomes indefinitely small at the same time as k for all values of / that come into consideration. The function u will therefore vanish nowhere within the in terval t . . . . /!. In this manner a certain limit has also been estab lished for k, which it cannot exceed ; but if the condition is also CALCULUS OF VARIATIONS. 161 CHAPTER XI. THE NOTION OP A FIELD ABOUT THE CURVE WHICH OFFERS A MAXIMUM OR A MINIMUM VALUE OF THE INTEGRAL.
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