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Journal articles on the topic 'Equations'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 July 2024

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1

Karakostas, George L. "Asymptotic behavior of a certain functional equation via limiting equations." Czechoslovak Mathematical Journal 36, no. 2 (1986): 259–67. http://dx.doi.org/10.21136/cmj.1986.102089.

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2

Parkala, Naresh, and Upender Reddy Gujjula. "Mohand Transform for Solution of Integral Equations and Abel's Equation." International Journal of Science and Research (IJSR) 13, no. 5 (May 5, 2024): 1188–91. http://dx.doi.org/10.21275/sr24512145111.

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3

Deeba, E. Y., and E. L. Koh. "The Pexider Functional Equations in Distributions." Canadian Journal of Mathematics 42, no. 2 (April 1, 1990): 304–14. http://dx.doi.org/10.4153/cjm-1990-017-6.

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The Cauchy functional equations have been studied recently for Schwartz distributions by Koh in [3]. When the solutions are locally integrate functions, the equations reduce to the classical Cauchy equations (see [1]):(1) f(x+y)=f﹛x)+f(y)(2) f(x+y)=f(x)f(y)(3) f(xy)=f(x)+f(y)(4) f(xy)=f(x)f(y).Earlier efforts to study functional equations in distributions were given by Fenyö [2]for the Hosszu’ equationsf(x + y - xy) +f(xy) =f(x) +f (y ),by Neagu [4]for the Pompeiu equationf(x+y+xy)=f(x)+f(y)+f(x)f(y)and by Swiatak [6].

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4

Morchało, Jarosław. "Volterra summation equations and second order difference equations." Mathematica Bohemica 135, no. 1 (2010): 41–56. http://dx.doi.org/10.21136/mb.2010.140681.

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5

N O, Onuoha. "Transformation of Parabolic Partial Differential Equations into Heat Equation Using Hopf Cole Transform." International Journal of Science and Research (IJSR) 12, no. 6 (June 5, 2023): 1741–43. http://dx.doi.org/10.21275/sr23612082710.

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6

Hino, Yoshiyuki, and Taro Yoshizawa. "Total stability property in limiting equations for a functional-differential equation with infinite delay." Časopis pro pěstování matematiky 111, no. 1 (1986): 62–69. http://dx.doi.org/10.21136/cpm.1986.118265.

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7

Kratz, Werner. "Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order." Czechoslovak Mathematical Journal 38, no. 2 (1988): 351–65. http://dx.doi.org/10.21136/cmj.1988.102230.

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8

Bosák, Miroslav, and Jiří Gregor. "On generalized difference equations." Applications of Mathematics 32, no. 3 (1987): 224–39. http://dx.doi.org/10.21136/am.1987.104253.

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9

Egger, Joseph, and Mauro Dall'Amico. "Empirical master equations: Numerics." Meteorologische Zeitschrift 16, no. 2 (May 7, 2007): 139–47. http://dx.doi.org/10.1127/0941-2948/2007/0196.

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10

Budochkina, Svetlana, and Hue Vu. "ON AN INDIRECT REPRESENTATION OF EVOLUTIONARY EQUATIONS IN THE FORM OF BIRKHOFF'S EQUATIONS." Eurasian Mathematical Journal 13, no. 3 (2022): 23–32. http://dx.doi.org/10.32523/2077-9879-2022-13-3-23-32.

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11

Lalli, B. S., and B. G. Zhang. "Oscillation and comparison theorems for certain neutral difference equations." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 34, no. 2 (October 1992): 245–56. http://dx.doi.org/10.1017/s0334270000008754.

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AbstractSome comparison theorems and oscillation criteria are established for the neutral difference equationas well as for certain neutral difference equations with coefficients of arbitrary sign. Neutral difference equations with mixed arguments are also considered.

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12

Górecki, Henryk. "Analytic solution of transcendental equations." International Journal of Applied Mathematics and Computer Science 20, no. 4 (December 1, 2010): 671–77. http://dx.doi.org/10.2478/v10006-010-0050-2.

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Analytic solution of transcendental equationsA decomposition technique of the solution of ann-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.

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13

Davidson, Benjamin. "Equations." Humanistic Mathematics Network Journal 1, no. 20 (July 1999): 15. http://dx.doi.org/10.5642/hmnj.199901.20.13.

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14

Lions, P. L. "equations." Duke Mathematical Journal 52, no. 4 (September 1985): 793–820. http://dx.doi.org/10.1215/s0012-7094-85-05242-1.

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15

Chen, Wenxiong, and Congming Li. "equations." Duke Mathematical Journal 63, no. 3 (August 1991): 615–22. http://dx.doi.org/10.1215/s0012-7094-91-06325-8.

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16

Gmira, Abdelilah, and Laurent V�ron. "equations." Duke Mathematical Journal 64, no. 2 (November 1991): 271–324. http://dx.doi.org/10.1215/s0012-7094-91-06414-8.

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17

Benguria, Rafael D., Sebasti�n Lorca, and Cecilia S. Yarur. "equations." Duke Mathematical Journal 74, no. 3 (June 1994): 615–34. http://dx.doi.org/10.1215/s0012-7094-94-07422-x.

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18

Buchstaber, V. M., G. Felder, and A. P. Veselov. "equations." Duke Mathematical Journal 76, no. 3 (December 1994): 885–911. http://dx.doi.org/10.1215/s0012-7094-94-07635-7.

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19

Busnello, Barbara. "Equations." Annals of Probability 27, no. 4 (October 1999): 1750–80. http://dx.doi.org/10.1214/aop/1022677547.

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20

Dawes, Kwame. "Equations." Baffler 21 (November 2012): 90–91. http://dx.doi.org/10.1162/bflr_a_00100.

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21

Reade, J. B., G. Grippenberg, S. O. Londen, and O. Staffans. "Volterra Integral Equations and Functional Equations." Mathematical Gazette 75, no. 471 (March 1991): 132. http://dx.doi.org/10.2307/3619036.

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22

Sedaghat, Hassan. "Difference equations by differential equations methods." Journal of Difference Equations and Applications 22, no. 5 (October 26, 2015): 724–26. http://dx.doi.org/10.1080/10236198.2015.1099637.

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23

Landel, Robert F., and Steven T. J. Peng. "Equations of State and Constitutive Equations." Journal of Rheology 30, no. 4 (August 1986): 741–65. http://dx.doi.org/10.1122/1.549906.

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24

Ciaglia, F. M., F. Di Cosmo, G. Marmo, and L. Schiavone. "Evolutionary equations and constraints: Maxwell equations." Journal of Mathematical Physics 60, no. 11 (November 1, 2019): 113503. http://dx.doi.org/10.1063/1.5109087.

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25

Alberty, Robert A. "Chemical equations are actually matrix equations." Journal of Chemical Education 68, no. 12 (December 1991): 984. http://dx.doi.org/10.1021/ed068p984.

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26

Arabadzhyan, L. G., and N. B. Engibaryan. "Convolution equations and nonlinear functional equations." Journal of Soviet Mathematics 36, no. 6 (March 1987): 745–91. http://dx.doi.org/10.1007/bf01085507.

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27

Shardlow, Tony. "Modified Equations for Stochastic Differential Equations." BIT Numerical Mathematics 46, no. 1 (March 2006): 111–25. http://dx.doi.org/10.1007/s10543-005-0041-0.

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28

Štědrý, Milan, and Otto Vejvoda. "Equations of magnetohydrodynamics: periodic solutions." Časopis pro pěstování matematiky 111, no. 2 (1986): 177–84. http://dx.doi.org/10.21136/cpm.1986.118275.

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29

Švec, Marko. "Equivalence of Volterra integral equations." Časopis pro pěstování matematiky 111, no. 2 (1986): 185–200. http://dx.doi.org/10.21136/cpm.1986.118276.

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30

Burton, T. A., and D. P. Dwiggins. "Resolvents, integral equations, limit sets." Mathematica Bohemica 135, no. 4 (2010): 337–54. http://dx.doi.org/10.21136/mb.2010.140824.

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31

Koch, Herbert, and Tobias Lamm. "Parabolic equations with rough data." Mathematica Bohemica 140, no. 4 (2015): 457–77. http://dx.doi.org/10.21136/mb.2015.144463.

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32

Fraňková, Dana, and Štefan Schwabik. "Generalized Sturm-Liouville equations. II." Czechoslovak Mathematical Journal 38, no. 3 (1988): 531–53. http://dx.doi.org/10.21136/cmj.1988.102249.

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33

Krapež, A., and M. A. Taylor. "Irreducible Belousov equations on quasigroups." Czechoslovak Mathematical Journal 43, no. 1 (1993): 157–75. http://dx.doi.org/10.21136/cmj.1993.128378.

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34

Tabor, Jacek. "Differential equations in metric spaces." Mathematica Bohemica 127, no. 2 (2002): 353–60. http://dx.doi.org/10.21136/mb.2002.134163.

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35

Andres, Jan, and Pavel Ludvík. "Topological entropy and differential equations." Archivum Mathematicum, no. 1 (2023): 3–10. http://dx.doi.org/10.5817/am2023-1-3.

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36

Vălcan, Teodor Dumitru. "From Diophantian Equations to Matrix Equations (III) - Other Diophantian Quadratic Equations and Diophantian Equations of Higher Degree." Educatia 21, no. 25 (November 30, 2023): 167–77. http://dx.doi.org/10.24193/ed21.2023.25.18.

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In this paper, we propose to continue the steps started in the first two papers with the same generic title and symbolically denoted by (I) and (II), namely, the presentation of ways of achieving a systemic vision on a certain mathematical notional content, a vision that to motivate and mobilize the activity of those who teach in the classroom, thus facilitating both the teaching and the assimilation of notions, concepts, scientific theories approached by the educational disciplines that present phenomena and processes from nature. Thus, we will continue in the same systemic approach, solving some Diophantine equations of higher degree, more precisely some generalizations of the Pythagorean equation and some quadratic Diophantine equations, in the set of natural numbers, then of the whole numbers, in order to "submerge" a such an equation in a ring of matrices and try to find as many matrix solutions as possible. In this way we will solve 12 large classes of Diophantine quadratic or higher order equations. For attentive readers interested in these matters, at the end of the paper we will propose 6 open problems. The solution of each of these open problems represents, in fact, a vast research activity and that can open the way to solving such more complicated Diophantine and / or matrix equations.

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37

Asqaraliyeva, M., and A. Sobirov. "IN MATH CLASSES, TEACH STUDENTS TO SOLVE SOME EQUATIONS BY SOLVING A SYSTEM OF EQUATIONS." Oriental Journal of Physics and Mathematics 01, no. 01 (June 1, 2022): 1–9. http://dx.doi.org/10.37547/supsci-ojpm-01-01-01.

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38

Jargess Abdul Wahid Abdulla, Et al. "Stability Analysis of First Order Integro-Differential Equations With the Successive Approximation Method." Advances in Nonlinear Variational Inequalities 26, no. 2 (July 1, 2023): 46–53. http://dx.doi.org/10.52783/anvi.v26.i2.262.

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The Ulam stability theory provides a framework to provide the stability of functional equations, including integrodifferential equations. This manuscript focuses on the Ulam-stability analysis of the first-order integrodifferential equation. First-order integrodifferential equations combine differential and integral terms, making their analysis challenging and intriguing. The Ulam-stability concept investigates the behaviour of solutions under perturbations in the equation's inputs or initial conditions. It offers valuable insights into the long-term behaviour and robustness of the solutions in the presence of minor disturbances. The results obtained in this study contribute to the understanding of stability properties of first-order integrodifferential equations and provide a foundation for further research in this area. The Ulam stability analysis offers valuable insights into the behaviour of these equations, aiding in their application to diverse domains, including physics, engineering, and mathematical modeling.

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39

Bell, Ian H., and Ulrich K. Deiters. "Superancillary Equations for Cubic Equations of State." Industrial & Engineering Chemistry Research 60, no. 27 (June 29, 2021): 9983–91. http://dx.doi.org/10.1021/acs.iecr.1c00847.

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40

Ribault, Sylvain. "Onsℓ3Knizhnik-Zamolodchikov equations and 𝒲3null-vector equations." Journal of High Energy Physics 2009, no. 10 (October 1, 2009): 002. http://dx.doi.org/10.1088/1126-6708/2009/10/002.

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41

Townsend, Miles A. "Kane's equations, Lagrange's equations, and virtual work." Journal of Guidance, Control, and Dynamics 15, no. 1 (January 1992): 277–80. http://dx.doi.org/10.2514/3.20832.

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42

Alberty, Robert A. "Conversion of chemical equations to biochemical equations." Journal of Chemical Education 69, no. 6 (June 1992): 493. http://dx.doi.org/10.1021/ed069p493.

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43

Guralnik, Gerald, and Cengiz Pehlevan. "Complex Langevin equations and Schwinger–Dyson equations." Nuclear Physics B 811, no. 3 (April 2009): 519–36. http://dx.doi.org/10.1016/j.nuclphysb.2008.11.034.

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44

Picard, R. H. "Evolution Equations as Space-Time Operator Equations." Journal of Mathematical Analysis and Applications 173, no. 2 (March 1993): 436–58. http://dx.doi.org/10.1006/jmaa.1993.1078.

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45

Stefanovski, Jovan. "Generating equations approach for quadratic matrix equations." Numerical Linear Algebra with Applications 6, no. 4 (June 1999): 295–326. http://dx.doi.org/10.1002/(sici)1099-1506(199906)6:4<295::aid-nla163>3.0.co;2-c.

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46

Laksmikantham, V. "Set differential equations versus fuzzy differential equations." Applied Mathematics and Computation 164, no. 2 (May 2005): 277–94. http://dx.doi.org/10.1016/j.amc.2004.06.068.

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47

Slavyanov, S. Y. "Relations Between Linear Equations and Painlevé’s Equations." Constructive Approximation 39, no. 1 (September 28, 2013): 75–83. http://dx.doi.org/10.1007/s00365-013-9216-0.

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48

SMART, NIGEL. "Solving Discriminant Form Equations Via Unit Equations." Journal of Symbolic Computation 21, no. 3 (March 1996): 367–74. http://dx.doi.org/10.1006/jsco.1996.0018.

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49

Li, Tongxing, Martin Bohner, Tuncay Candan, Yuriy V. Rogovchenko, and Qi-Ru Wang. "Qualitative Theory of Differential Equations, Difference Equations, and Dynamic Equations on Time Scales." Scientific World Journal 2016 (2016): 1–2. http://dx.doi.org/10.1155/2016/9094613.

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50

Balamuralitharan, S., and . "MATLAB Programming of Nonlinear Equations of Ordinary Differential Equations and Partial Differential Equations." International Journal of Engineering & Technology 7, no. 4.10 (October 2, 2018): 773. http://dx.doi.org/10.14419/ijet.v7i4.10.26114.

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My idea of this paper is to discuss the MATLAB program for various mathematical modeling in ordinary differential equations (ODEs) and partial differential equations (PDEs). Idea of this paper is very useful to research scholars, faculty members and all other fields like engineering and biology. Also we get easily to find the numerical solutions from this program.

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