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I. P. Dolbnya
I. P. Dolbnya

Articles

Articles
  • Date submitted
    1912-06-01
  • Date accepted
    1912-08-08
  • Date published
    1912-12-01

Theorems related to the Monge and Ampere equation

Article preview

Differential equations are considered in relation to theorems related to the Monge and Ampere equations (see article).

How to cite: Dolbnya I.P. Theorems related to the Monge and Ampere equation // Journal of Mining Institute. 1912. Vol. 3. p. 274-276.
Articles
  • Date submitted
    1911-07-19
  • Date accepted
    1911-09-10
  • Date published
    1912-01-01

On the integration of first order partial differential equations

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We have obtained a homogeneous linear differential equation of the first order with partial derivatives with respect to q. This equation is equivalent to a system of ordinary cumulative differential equations of the first order (see article). This note was found in the postmortem papers of I. P. Dolbnya. Only the calculations of the example remained unfinished.

How to cite: Dolbnya I.P. On the integration of first order partial differential equations // Journal of Mining Institute. 1912. Vol. № 1 4. p. 1-3.
Articles
  • Date submitted
    1909-06-23
  • Date accepted
    1909-08-14
  • Date published
    1909-12-01

Об одном приложении теории исключения к теории абелевых интегралов

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Дается алгебраическое уравнение F(x,y) = 0, mu степени относительно х и nu степени относительно у. Требуется х и у заменить новыми количествами ɛ и ɳ посредством уравнений. ɛ = j(х,у), ɳ = f(x,y), j и f рациональные функции. За немногими исключениями, которые должны быть в каждом частном случае предметом особого исследования, преобразование (2) будет бирационально. Осуществить это преобразование посредством рациональных действий можно следующими образом. Рассмотрим способ приведения гиперэлиптического интеграла.

How to cite: Unknown // Journal of Mining Institute. 1909. Vol. № 4 2. p. 263-271.
Without section
  • Date submitted
    1908-06-17
  • Date accepted
    1908-08-02
  • Date published
    1908-12-01

New proof of the fundamental theorem of Algebra

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We will change x along a closed curve in the positive direction. A full description of the proof is in the article.

How to cite: Dolbny I.P. New proof of the fundamental theorem of Algebra // Journal of Mining Institute. 1908. Vol. № 4 1. p. 275-276.
Without section
  • Date submitted
    1908-06-24
  • Date accepted
    1908-08-15
  • Date published
    1908-12-01

On a class of reducible hyperelliptic integrals

Article preview

Let us take the integral and find a substitution of the lowest degree, through which we achieve the reduction of this integral to an elliptic one.

How to cite: Dolbny I.P. On a class of reducible hyperelliptic integrals // Journal of Mining Institute. 1908. Vol. № 4 1. p. 277-278.
Without section
  • Date submitted
    1907-12-17
  • Date accepted
    1908-02-27
  • Date published
    1908-06-01

A note about remainder term of the Taylor's series

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In order to be useful to the beginners, the author should go into such preliminary details that would be unnecessary in a special mathematical journal (see article). As a result, he obtained a new form of the remainder term.

How to cite: Dolbnya I.P. A note about remainder term of the Taylor’s series // Journal of Mining Institute. 1908. Vol. № 2 1. p. 85-86.