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Artykuły w czasopismach na temat „Linear equations”

Autor: Grafiati

Data publikacji: 4 czerwca 2021

Data aktualizacji: 25 lipca 2025

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1

Axrorovna, Xolmatova Shoira, and Egamova Mahliyo Xo'jaqul qizi. "SOLVING LINEAR AND NON-LINEAR EQUATIONS IN INTEGERS." American Journal of Applied Sciences 6, no. 10 (2024): 23–26. http://dx.doi.org/10.37547/tajas/volume06issue10-05.

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This study explores the methods for solving linear and non-linear equations in integers, focusing on their mathematical significance and applications in various fields. The article examines both theoretical frameworks and practical algorithms, highlighting the challenges and advancements in integer solutions. Results from different approaches are presented, demonstrating the efficacy of each method.

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2

Rohn, Jiří. "Interval solutions of linear interval equations." Applications of Mathematics 35, no. 3 (1990): 220–24. http://dx.doi.org/10.21136/am.1990.104406.

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3

Kurzweil, Jaroslav, and Alena Vencovská. "Linear differential equations with quasiperiodic coefficients." Czechoslovak Mathematical Journal 37, no. 3 (1987): 424–70. http://dx.doi.org/10.21136/cmj.1987.102170.

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4

Chow, Sengchu. "Table of Non-Linear Simultaneous Equations." International Journal of Science and Research (IJSR) 10, no. 11 (2021): 276–85. https://doi.org/10.21275/sr211023090732.

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5

Patel, Roshni V., and Jignesh S. Patel. "Optimization of Linear Equations using Genetic Algorithms." Indian Journal of Applied Research 2, no. 3 (2011): 56–58. http://dx.doi.org/10.15373/2249555x/dec2012/19.

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6

Fraňková, Dana. "Substitution method for generalized linear differential equations." Mathematica Bohemica 116, no. 4 (1991): 337–59. http://dx.doi.org/10.21136/mb.1991.126028.

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7

Schwabik, Štefan. "Linear Stieltjes integral equations in Banach spaces." Mathematica Bohemica 124, no. 4 (1999): 433–57. http://dx.doi.org/10.21136/mb.1999.125994.

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8

Cecchi, Mariella, Zuzana Došlá, Mauro Marini, and Ivo Vrkoč. "Asymptotic properties for half-linear difference equations." Mathematica Bohemica 131, no. 4 (2006): 347–63. http://dx.doi.org/10.21136/mb.2006.133970.

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9

Davies, Alan, and Rainer Kress. "Linear Integral Equations." Mathematical Gazette 74, no. 470 (1990): 405. http://dx.doi.org/10.2307/3618171.

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10

S., F., and Rainer Kress. "Linear Integral Equations." Mathematics of Computation 56, no. 193 (1991): 379. http://dx.doi.org/10.2307/2008551.

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11

STEWART, G. W. "Solving Linear Equations." Science 236, no. 4800 (1987): 461–62. http://dx.doi.org/10.1126/science.236.4800.461.

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12

PAN, V., and J. H. REIF. "Response:Solving Linear Equations." Science 236, no. 4800 (1987): 462–63. http://dx.doi.org/10.1126/science.236.4800.462.

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13

Williamson, Alan G., and Chris Woodford. "Solving Linear and Non-Linear Equations." Mathematical Gazette 78, no. 481 (1994): 85. http://dx.doi.org/10.2307/3619460.

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14

BAME, Valmir, and Lulezim HANELLI. "Numerical Solution for Semi Linear Hyperbolic Differential Equations." International Journal of Innovative Research in Engineering & Management 6, no. 4 (2019): 28–32. http://dx.doi.org/10.21276/ijirem.2019.6.4.1.

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15

Kačur, Jozef. "Smoothing effect and regularity for linear parabolic equations." Czechoslovak Mathematical Journal 36, no. 4 (1986): 564–85. http://dx.doi.org/10.21136/cmj.1986.102117.

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16

Tvrdý, Milan. "Linear distributional differential equations of the second order." Mathematica Bohemica 119, no. 4 (1994): 415–36. http://dx.doi.org/10.21136/mb.1994.126120.

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17

Došlá, Zuzana, and Denisa Škrabáková. "Phases of linear difference equations and symplectic systems." Mathematica Bohemica 128, no. 3 (2003): 293–308. http://dx.doi.org/10.21136/mb.2003.134182.

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18

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

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19

Iosifidis, Damianos. "Solving Linear Tensor Equations." Universe 7, no. 10 (2021): 383. http://dx.doi.org/10.3390/universe7100383.

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We develop a systematic way to solve linear equations involving tensors of arbitrary rank. We start off with the case of a rank 3 tensor, which appears in many applications, and after finding the condition for a unique solution we derive this solution. Subsequently, we generalize our result to tensors of arbitrary rank. Finally, we consider a generalized version of the former case of rank 3 tensors and extend the result when the tensor traces are also included.

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20

Green, Benjamin, and Terence Tao. "Linear equations in primes." Annals of Mathematics 171, no. 3 (2010): 1753–850. http://dx.doi.org/10.4007/annals.2010.171.1753.

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21

Nguyen, K. A., and M. van der Put. "Solving Linear Differential Equations." Pure and Applied Mathematics Quarterly 6, no. 1 (2010): 173–208. http://dx.doi.org/10.4310/pamq.2010.v6.n1.a5.

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22

Steward, T. "Linear equations and spreadsheets." Teaching Mathematics and its Applications 17, no. 2 (1998): 86–90. http://dx.doi.org/10.1093/teamat/17.2.86.

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23

Balog, Antal. "Linear equations in primes." Mathematika 39, no. 2 (1992): 367–78. http://dx.doi.org/10.1112/s0025579300015096.

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24

Cha, Yongjae, Mark van Hoeij, and Giles Levy. "Solving linear recurrence equations." ACM Communications in Computer Algebra 44, no. 3/4 (2011): 183–85. http://dx.doi.org/10.1145/1940475.1940515.

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25

Edelson, Allan L. "Asymptotically linear elliptic equations." Rendiconti del Seminario Matematico e Fisico di Milano 64, no. 1 (1994): 9–20. http://dx.doi.org/10.1007/bf02925186.

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26

Federson, M., R. Bianconi, and L. Barbanti. "Linear Volterra Integral Equations." Acta Mathematicae Applicatae Sinica, English Series 18, no. 4 (2002): 553–60. http://dx.doi.org/10.1007/s102550200057.

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27

Castro, Luis, Saburou Saitoh, Yoshihiro Sawano, and Anabela S. Silva. "Discrete linear differential equations." Analysis 32, no. 3 (2012): 181–91. http://dx.doi.org/10.1524/anly.2012.1104.

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28

Sanabria Malagón, Camilo. "Reversible linear differential equations." Journal of Algebra 325, no. 1 (2011): 248–68. http://dx.doi.org/10.1016/j.jalgebra.2010.08.024.

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29

Jain, Himanshu, Edmund M. Clarke, and Orna Grumberg. "Efficient Craig interpolation for linear Diophantine (dis)equations and linear modular equations." Formal Methods in System Design 35, no. 1 (2009): 6–39. http://dx.doi.org/10.1007/s10703-009-0069-x.

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30

Neuman, František. "Covariant constructions in the theory of linear differential equations." Časopis pro pěstování matematiky 111, no. 2 (1986): 201–7. http://dx.doi.org/10.21136/cpm.1986.118277.

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31

Došlá, Zuzana. "On oscillatory solutions of third-order linear differential equations." Časopis pro pěstování matematiky 114, no. 1 (1989): 28–34. http://dx.doi.org/10.21136/cpm.1989.118363.

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32

Schwabik, Štefan. "The Perron product integral and generalized linear differential equations." Časopis pro pěstování matematiky 115, no. 4 (1990): 368–404. http://dx.doi.org/10.21136/cpm.1990.118415.

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33

Thandapani, E., and S. Selvarangam. "Oscillation of third-order half-linear neutral difference equations." Mathematica Bohemica 138, no. 1 (2013): 87–104. http://dx.doi.org/10.21136/mb.2013.143232.

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34

Ardjouni, Abdelouaheb, and Ahcene Djoudi. "Stability in linear neutral difference equations with variable delays." Mathematica Bohemica 138, no. 3 (2013): 245–58. http://dx.doi.org/10.21136/mb.2013.143436.

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35

Hasan, Nabaa N. "Nonpolynomial Spline Method for Solving Linear Fractional Differential Equations." International Journal of Psychosocial Rehabilitation 24, no. 4 (2020): 3819–27. http://dx.doi.org/10.37200/ijpr/v24i4/pr201495.

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36

Čadek, Martin. "Form of general pointwise transformations of linear differential equations." Czechoslovak Mathematical Journal 35, no. 4 (1985): 617–24. http://dx.doi.org/10.21136/cmj.1985.102052.

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37

Tvrdý, Milan. "Linear integral equations in the space of regulated functions." Mathematica Bohemica 123, no. 2 (1998): 177–212. http://dx.doi.org/10.21136/mb.1998.126306.

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38

Došlý, Ondřej. "Qualitative theory of half-linear second order differential equations." Mathematica Bohemica 127, no. 2 (2002): 181–95. http://dx.doi.org/10.21136/mb.2002.134170.

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39

Górecki, Henryk. "Analytic solution of transcendental equations." International Journal of Applied Mathematics and Computer Science 20, no. 4 (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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40

Hamid, Ihsanullah. "Balancing Chemical Equations by Systems of Linear Equations." Applied Mathematics 10, no. 07 (2019): 521–26. http://dx.doi.org/10.4236/am.2019.107036.

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41

Singer, Michael F. "Solving Homogeneous Linear Differential Equations in Terms of Second Order Linear Differential Equations." American Journal of Mathematics 107, no. 3 (1985): 663. http://dx.doi.org/10.2307/2374373.

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42

Sargent, A., and J. L. Fastook. "A linear algorithm for solving non-linear isothermal ice-shelf equations." Geoscientific Model Development Discussions 7, no. 2 (2014): 1829–64. http://dx.doi.org/10.5194/gmdd-7-1829-2014.

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Abstract. A linear non-iterative algorithm is suggested for solving nonlinear isothermal steady-state Morland–MacAyeal ice shelf equations. The idea of the algorithm is in replacing the problem of solving the non-linear second order differential equations for velocities with a system of linear first order differential equations for stresses. The resulting system of linear equations can be solved numerically with direct methods which are faster than iterative methods for solving corresponding non-linear equations. The suggested algorithm is applicable if the boundary conditions for stresses can

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43

Koshy, Thomas. "82.29 Linear Diophantine Equations, Linear Congruences, and Matrices." Mathematical Gazette 82, no. 494 (1998): 274. http://dx.doi.org/10.2307/3620412.

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44

Singer, Michael F., and Felix Ulmer. "Linear differential equations and products of linear forms." Journal of Pure and Applied Algebra 117-118 (May 1997): 549–63. http://dx.doi.org/10.1016/s0022-4049(97)00027-3.

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45

Möbius, P. "Non-linear superposition in non-linear evolution equations." Czechoslovak Journal of Physics 37, no. 9 (1987): 1041–55. http://dx.doi.org/10.1007/bf01597449.

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46

Korter, M. "Linear equations and linear models in actuarial theory." Insurance: Mathematics and Economics 13, no. 2 (1993): 153–54. http://dx.doi.org/10.1016/0167-6687(93)90873-n.

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47

Šeda, Valter. "On a class of linear $n$-th order differential equations." Czechoslovak Mathematical Journal 39, no. 2 (1989): 350–69. http://dx.doi.org/10.21136/cmj.1989.102307.

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48

Sadhasivam, Vadivel, Jayapal Kavitha, and Muthusamy Deepa. "On the Oscillation of Non-linear Functional Partial Differential Equations." Journal of Computational Mathematica 1, no. 2 (2017): 29–39. http://dx.doi.org/10.26524/cm13.

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49

Pelant, Martin, and Milan Tvrdý. "Linear distributional differential equations in the space of regulated functions." Mathematica Bohemica 118, no. 4 (1993): 379–400. http://dx.doi.org/10.21136/mb.1993.126158.

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50

Ligęza, J., and M. Tvrdý. "On systems of linear algebraic equations in the Colombeau algebra." Mathematica Bohemica 124, no. 1 (1999): 1–14. http://dx.doi.org/10.21136/mb.1999.125977.

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