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1

Gear, C. William. Differential-algebraic equation index transformations. Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1986.

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2

Begehr, Heinrich G. W. Transformations, transmutations, and kernel functions. Longman Scientific & Technical, 1992.

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3

Gardner, Robert B. The method of equivalence and its applications. Society for Industrial and Applied Mathematics, 1989.

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4

Visintin, A. Differential models of hysteresis. Springer, 1994.

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5

Duffy, Dean G. Transform methods for solving partial differential equations. CRC Press, 1994.

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6

Tenenblat, Keti. Transformations of manifolds and applications to differential equations. Longman, 1998.

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7

Jerri, Abdul J. Linear difference equations with discrete transform methods. Kluwer Academic, 1996.

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8

Jian-hua, Wang, ed. Transformation methods for nonlinear partial differential equations. World Scientific, 1992.

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9

Loon, P. M. van. Continuous decoupling transformations for linear boundary value problems. Centrum voor Wiskunde en Informatica, 1988.

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10

AARMS-CRM, Workshop (1999 Halifax N. S. ). Bäcklund and Darboux transformations: The geometry of solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada. American Mathematical Society, 2001.

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11

Ferapontov, E. V. Preobrazovani͡ia Bėklunda giperbolicheskikh sistem differen͡tsialʹnykh uravneniĭ. Vychislitelʹnyĭ ͡tsentr AN SSSR, 1987.

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12

J, Liandrat, and Institute for Computer Applications in Science and Engineering., eds. Numerical algorithms based on biorthogonal wavelets. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1996.

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13

J, Liandrat, and Institute for Computer Applications in Science and Engineering., eds. Numerical algorithms based on biorthogonal wavelets. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1996.

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14

Noble, Ben. Methods based on the Wiener-Hopf technique for the solution of partial differential equations. 2nd ed. Chelsea Pub. Co., 1988.

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15

Guillemin, Victor. Cosmology in (2 [plus] 1)-dimensions, cyclic models and deformations of M [subscript 2,1]. Princeton University Press, 1988.

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16

Pukhov, Georgiĭ Evgenʹevich. Priblizhennye metody matematicheskogo modelirovanii͡a︡, osnovannye na primenenii different͡s︡ialʹnykh T-preobrazovaniĭ. Nauk. dumka, 1988.

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17

1928-, Hu Hesheng, and Zhou Zixiang, eds. Darboux transformations in integrable systems: Theory and their applications to geometry. Springer, 2005.

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18

Iliev, I. D. Spectral methods in soliton equations. Longman Scientific & Technical, 1994.

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19

1953-, Brokate Martin, Visintin A, and Centro internazionale matematico estivo, eds. Phase transitions and hysteresis. Springer-Verlag, 1994.

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20

Kulasiri, Don. Stochastic Differential Equations for Chemical Transformations in White Noise Probability Space. Springer Nature Singapore, 2024. https://doi.org/10.1007/978-981-97-9392-1.

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21

Moon, Parry Hiram. Field theory handbook: Including coordinate systems, differential equations, and their solutions. 2nd ed. Springer-Verlag, 1988.

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22

Delort, Jean-Marc. F.B.I. transformation: Second microlocalization and semilinear caustics. Springer-Verlag, 1992.

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23

Center, Langley Research, ed. A gas-kinetic method for hyperbolic-elliptic equations and its application in two-phase fluid flow. National Aeronautics and Space Administration, Langley Research Center, 1999.

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24

Center, Langley Research, ed. A gas-kinetic method for hyperbolic-elliptic equations and its application in two-phase fluid flow. National Aeronautics and Space Administration, Langley Research Center, 1999.

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25

Center, Langley Research, ed. A gas-kinetic method for hyperbolic-elliptic equations and its application in two-phase fluid flow. National Aeronautics and Space Administration, Langley Research Center, 1999.

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26

Center, Langley Research, ed. A gas-kinetic method for hyperbolic-elliptic equations and its application in two-phase fluid flow. National Aeronautics and Space Administration, Langley Research Center, 1999.

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27

Stegasov, A. N. Analiz neustoĭchivoĭ raboty trëkhfaznykh reaktorov. In-t kataliza SO AN SSSR, 1990.

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28

Albeverio, Sergio. Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: A Volume of Advances in Partial Differential Equations. Birkhäuser Basel, 2003.

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29

K, Kirchgässner, Deutsche Forschungsgemeinschaft, Volkswagenstiftung, and European Research Council, eds. Problems involving change of type: Proceedings of a conference, held at the University of Stuttgart, FRG, October 11-14, 1988. Springer-Verlag, 1990.

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30

Abdallah, Naoufel Ben. Transport in Transition Regimes. Springer New York, 2004.

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31

Xu, Kun. A gas-kinetic method for hyperbolic-elliptic equations and its application in two-phase fluid flow. National Aeronautics and Space Administration, Langley Research Center, 1999.

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32

M, Johnson R. Linear differential and difference equations: A systems approach for mathematicians and engineers. Albion Pub., 1997.

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33

E, Gurtin Morton, and McFadden Geoffrey B, eds. On the evolution of phase boundaries. Springer-Verlag, 1992.

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34

Gurtin, Morton E. On the Evolution of Phase Boundaries. Springer New York, 1992.

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35

Delort, Jean-Marc. F.B.I. transformation: Second microlocalization and semilinear caustics. Springer-Verlag, 1992.

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36

Manichev, Vladimir, Valentina Glazkova, and Кузьмина Анастасия. Numerical methods. The authentic and exact solution of the differential and algebraic equations in SAE systems of SAPR. INFRA-M Academic Publishing LLC., 2016. http://dx.doi.org/10.12737/13138.

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Abstract:
In the manual classical numerical methods are considered
 and algorithms for the decision of systems of the ordinary differential
 equations (ODE), nonlinear and linear algebraic equations
 (NAU and LAU), and also ways of ensuring reliability and demanded
 accuracy of results of the decision. Ideas, which still not are stated
 are reflected in textbooks on calculus mathematics, namely: decision
 systems the ODE without reduction to a normal form of Cauchy resolved
 rather derivative, and refusal from any numerical an equivalent -
 nykh of transformations
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37

Claudio, Procesi, ed. Topics in hyperplane arrangements, polytopes and box-splines. Springer, 2011.

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38

Phase characteristics and time responses of unknown linear systems determined from measured CW amplitude data. U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1991.

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39

Petersen, B. Introduction to the Fourier Transform and Pseudo Differential Operators. Wiley & Sons, Incorporated, John, 1986.

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40

Invertible point transformations and nonlinear differential equations. World Scientific, 1993.

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41

Neuman, Frantisek. Global Properties of Linear Ordinary Differential Equations. Springer, 2013.

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42

Lie, Sophus. Differentialgleichungen. Chelsea Pub Co, 1994.

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43

Moreira, I. C. Invertible Point Transformations and Nonlinear Differential Equations. World Scientific Publishing Co Pte Ltd, 1993.

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44

Invertible Point Transformations and Nonlinear Differential Equations. World Scientific Publishing Co Pte Ltd, 1993.

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45

Ergodic theory of random transformations. Birkhäuser, 1986.

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46

Visintin, Augusto. Differential Models of Hysteresis. Springer Berlin Heidelberg, 2010.

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47

Visintin, Augusto. Differential Models of Hysteresis. Springer London, Limited, 2013.

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48

Trölß, Josef. Angewandte Mathematik mit Mathcad. Lehr- und Arbeitsbuch: Band 4: Reihen, Transformationen, Differential- und Differenzengleichungen. 2nd ed. Springer, 2008.

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49

Trölß, Josef. Angewandte Mathematik mit Mathcad, Lehr- und Arbeitsbuch: Band 4: Reihen, Transformationen, Differential- und Differenzengleichungen. Springer, 2006.

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50

Transform methods for solving partial differential equations. 2nd ed. Chapman & Hall/CRC, 2004.

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