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1

Zhukova, Galina. Differential equations. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072180.

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The textbook presents the theory of ordinary differential equations constituting the subject of the discipline "Differential equations". Studied topics: differential equations of first, second, arbitrary order; differential equations; integration of initial and boundary value problems; stability theory of solutions of differential equations and systems. Introduced the basic concepts, proven properties of differential equations and systems. The article presents methods of analysis and solutions. We consider the applications of the obtained results, which are illustrated on a large number of specific tasks. For independent quality control mastering the course material suggested test questions on the theory, exercises and tasks. It is recommended that teachers, postgraduates and students of higher educational institutions, studying differential equations and their applications.
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2

Rahmani-Andebili, Mehdi. Differential Equations. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-07984-9.

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3

Barbu, Viorel. Differential Equations. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45261-6.

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4

Constanda, Christian. Differential Equations. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50224-3.

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5

Ross, Clay C. Differential Equations. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-3949-7.

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6

Tikhonov, Andrei N., Adelaida B. Vasil’eva e Alexei G. Sveshnikov. Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-82175-2.

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7

Constanda, Christian. Differential Equations. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7297-1.

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8

Struthers, Allan, e Merle Potter. Differential Equations. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20506-5.

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9

Sánchez, David A., e David A. Sánchez. Differential equations. 2a ed. Reading, Mass: Addison-Wesley Pub. Co., 1988.

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10

Brown, Courtney. Differential Equations. 2455 Teller Road, Thousand Oaks California 91320 United States of America: SAGE Publications, Inc., 2007. http://dx.doi.org/10.4135/9781412983914.

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11

E, Penney David, ed. Differential equations. 3a ed. Upper Saddle River, NJ: Pearson Education, 2003.

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12

1941-, Mark James, ed. Differential equations. Englewood Cliffs, N.J: Prentice-Hall, 1988.

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13

1948-, Devaney Robert L., e Hall Glen R, eds. Differential equations. 2a ed. Pacific Grove, CA: Brooks/Cole Thomson Learning, 2002.

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14

J, Booth Dexter, ed. Differential equations. New York: Industrial Press, 2004.

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15

1926-, Vasilʹeva A. B., e Sveshnikov A. G. 1924-, eds. Differential equations. Berlin: Springer-Verlag, 1985.

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16

Paul, Blanchard. Differential equations. 4a ed. Pacific Grove, Calif: Brooks/Cole, 2010.

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17

Paul, Blanchard. Differential equations. Pacific Grove, CA: Brooks/Cole Pub. Co., 1998.

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18

R, Giordano Frank. Differential equations. Reading,Mass: Addison-Wesley, 1991.

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19

Leduc, Steven A. Differential equations. Lincoln, Neb: Cliffs Notes, 1995.

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20

Kishan, Hari. Differential equations. New Delhi: Atlantic Publishers & Distributors, 2006.

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21

Association, Research and Education, ed. Differential equations. Piscataway, N.J: Research & Education Association, 2008.

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22

SANO. Partial Differential Equation: Partial Differential Equations. World Scientific Publishing Co Pte Ltd, 2023.

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23

SANO. Partial Differential Equation Hb: Partial Differential Equations. World Scientific Publishing Co Pte Ltd, 2023.

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24

Waghulade, Anmol. Ordinary and Partial Differential Equations - Total Differential or Pfaffian Differential Equations - Differential Equations Book: Total Differential Equations - Ordinary and Partial Differential Equations. Independently Published, 2021.

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25

Chaudhari, Amit. Simultaneous Differential Equations - Simultaneous Differential Equations Book: Simultaneous Differential Equations Book - Ordinary Simultaneous Differential Equations Book. Independently Published, 2021.

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26

Lomen, David O. Differential Equations with Differential Equationsw/Maple 2E Set. Wiley, 2002.

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27

Phillips, Henry Bayard. Differential Equations. Creative Media Partners, LLC, 2018.

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28

Simmons, George F., e Steven G. Krantz. Differential Equations. Taylor & Francis Group, 2022.

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29

Oleinik, O. A. Differential Equations. Taylor & Francis Group, 2019.

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30

Dergachev, V. M., e S. N. Lelyavin. Differential equations. Ruscience, 2016. http://dx.doi.org/10.15216/978-5-4365-0764-4.

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31

Krantz, Steven G. Differential Equations. Chapman and Hall/CRC, 2015. http://dx.doi.org/10.1201/b19325.

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32

Differential Equations. Routledge, 2017. http://dx.doi.org/10.1201/9781315141237.

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33

Krantz, Steven G. Differential Equations. Chapman and Hall/CRC, 2014. http://dx.doi.org/10.1201/b18158.

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34

Krantz, Steven G. Differential Equations. Chapman and Hall/CRC, 2020. http://dx.doi.org/10.1201/9781003009504.

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35

Arnold, David, John Polking e Albert Boggess. Differential Equations. Prentice Hall, 2001.

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36

Stephani, Hans. Differential Equations. Editado por Malcolm MacCallum. Cambridge University Press, 1990. http://dx.doi.org/10.1017/cbo9780511599941.

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37

Favini, Angelo, e Alfredo Lorenzi, eds. Differential Equations. Chapman and Hall/CRC, 2006. http://dx.doi.org/10.1201/9781420011135.

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38

Mann, Peter. Differential Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0035.

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This chapter presents the general formulation of the calculus of variations as applied to mechanics, relativity and field theories. The calculus of variations is a common mathematical technique used throughout classical mechanics. First developed by Euler to determine the shortest paths between fixed points along a surface, it was applied by Lagrange to mechanical problems in analytical mechanics. The variational problems in the chapter have been simplified for ease of understanding upon first introduction, in order to give a general mathematical framework. This chapter takes a relaxed approach to explain how the Euler–Lagrange equation is derived using this method. It also discusses first integrals. The chapter closes by defining the functional derivative, which is used in classical field theory.
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39

Vrabie, Ioan I. Differential Equations. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/8044.

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40

Vrabie, Ioan I. Differential Equations. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9941.

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41

Polking, John C. Differential Equations. Prentice Hall College Div, 2001.

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42

Zill, Dennis. Differential Equations. Blue Kingfisher, 2008.

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43

Singh, Amrinder Pal. Differential Equations. I.K. International Publishing House Pvt. Ltd, 2022.

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44

Phillips, H. B. Differential Equations. Creative Media Partners, LLC, 2018.

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45

Differential Equations. Prentice Hall, 2001.

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46

Tricomi, F. G. Differential Equations. Dover Publications, Incorporated, 2013.

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47

Differential Equations. Bloomsbury Publishing Plc, 1996.

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48

author, Costa Gabriel B., e Bronson Richard, eds. Differential equations. 4a ed. 2014.

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49

Differential Equations. Flamingo, 1998.

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50

Differential Equations. Brooks/Cole, 2011.

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