Results 1 to 10 of about 3,603,035 (255)
Fuzzy Stability Results of Generalized Quartic Functional Equations [PDF]
Mathematics, 2021 In the present paper, we introduce a new type of quartic functional equation and examine the Hyers–Ulam stability in fuzzy normed spaces by employing the direct method and fixed point techniques.
Sang Og Kim, Kandhasamy Tamilvanan
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A Complete Review of the General Quartic Equation with Real Coefficients and Multiple Roots [PDF]
Mathematics, 2022 This paper presents a general analysis of all the quartic equations with real coefficients and multiple roots; this analysis revealed some unknown formulae to solve each kind of these equations and some precisions about the relation between these ones ...
Mauricio Chávez-Pichardo +4 more
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Ulam Stability of a Quartic Functional Equation [PDF]
Abstract and Applied Analysis, 2012 The oldest quartic functional equation was introduced by J. M. Rassias in (1999), and then was employed by other authors. The functional equation 𝑓(2𝑥+𝑦)+𝑓(2𝑥−𝑦)=4𝑓(𝑥+𝑦)+4𝑓(𝑥−𝑦)+24𝑓(𝑥)−6𝑓(𝑦) is called a quartic functional equation, all of its solution is
Abasalt Bodaghi +2 more
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Solution of Cubic and Quartic Equations [PDF]
Formalized Mathematics, 2009 Solution of Cubic and Quartic Equations In this article, the principal n-th root of a complex number is defined, the Vieta's formulas for polynomial equations of degree 2, 3 and 4 are formalized. The solution of quadratic equations, the Cardan's solution
Marco Riccardi
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Quartic index form equations and monogenizations of quartic orders [PDF]
Essential Number Theory, 2022 Some upper bounds for the number of monogenizations of quartic orders are established by considering certain classical Diophantine equations, namely index form equations in quartic number fields, and cubic and quartic Thue equations.
S. Akhtari
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A note on the solution of quartic equations [PDF]
Mathematics of Computation, 1960 2.l,9(n4 + 1) for n = 2747, 2771, 2885. 2. 97(n4 + 1) for n = 2669, 2683, 2749. New factorizations are as follows: 9384 + 1 = 809273X956569 10604 + 1 = 847577 1489513 13484 + 1 = 940169X3511993 15124 + 1 = 926617X5640361 18744 + 1 = 914561*13485457 21004 + 1 = 17X873553 X1309601 28384 + 1 = 868841X74663657 29084 + 1 = 41X940369X1854793 -(11554 + 1 ...
H. E. Salzer
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Quadratic-Quartic Functional Equations in RN-Spaces [PDF]
Journal of Inequalities and Applications, 2009 We obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary -norms .
Park Choonkil +2 more
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Quartic Equations interpreted by the Parabola [PDF]
Proceedings of the London Mathematical Society, 1890 n ...
G. Heppel
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Graphical Solution of Cubic and Quartic Equations
Nature, 1905 SOME years ago you published some interesting communications in regard to the graphical solution of cubic and quartic equations (vol. lxi. p. 55, vol. lxiii. pp. 515 and 609, vol. lxiv. p. 5).
H. Thomsen
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Numerical simulation of Burgers’ equations via quartic HB-spline DQM
Nonlinear Engineering, 2023 Via modified quartic hyperbolic B-spline DQM, Burgers’ equation is numerically approximated in the current study. Ten numerical instances are discussed, and the findings are compared with those already in existence and with exact results. Error norms are
Kapoor Mamta
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