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Relevant bibliographies by topics / Generalized complex Lamé coefficients

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Academic literature on the topic 'Generalized complex Lamé coefficients'

Author: Grafiati

Published: 9 November 2024

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Journal articles on the topic "Generalized complex Lamé coefficients"

1

Joshi, Nalini, and Andrew Pickering. "Generalized Halphen systems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 136, no. 6 (2006): 1287–301. http://dx.doi.org/10.1017/s0308210500004984.

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Towards the end of the nineteenth century, Halphen studied a remarkable sequence of higher-order linear equations with doubly periodic coefficients, generalizations of a certain Lamé equation, having the property that quotients of solutions are single valued. Here we consider further generalizations where, instead of the Weierstrass ℘-function, the coefficients depend on the first Painlevé transcendent. Using these equations, we obtain new higher-order systems of nonlinear equations having the Painlevé property. We also give new results on the interpretation of the Painlevé tests with regard t

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2

Khomasuridze, N. "Representation of Solutions of Some Boundary Value Problems of Elasticity by a Sum of the Solutions of Other Boundary Value Problems." gmj 10, no. 2 (2003): 257–70. http://dx.doi.org/10.1515/gmj.2003.257.

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Abstract Basic static boundary value problems of elasticity are considered for a semi-infinite curvilinear prism Ω = {ρ 0 < ρ < ρ 1, α 0 < α < α 1, 0 < 𝑧 < ∞} in generalized cylindrical coordinates ρ, α, 𝑧 with Lamé coefficients ℎ ρ = ℎ α = ℎ(ρ, α), ℎ𝑧 = 1. It is proved that the solution of some boundary value problems of elasticity can be reduced to the sum of solutions of other boundary value problems of elasticity. Besides its cognitive significance, this fact also enables one to solve some non-classical elasticity problems.

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3

XIA, BINGXING, and VIET HA HOANG. "BEST N-TERM GPC APPROXIMATIONS FOR A CLASS OF STOCHASTIC LINEAR ELASTICITY EQUATIONS." Mathematical Models and Methods in Applied Sciences 24, no. 03 (2013): 513–52. http://dx.doi.org/10.1142/s0218202513500589.

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We consider a class of stochastic linear elasticity problems whose elastic moduli depend linearly on a countable set of random variables. The stochastic equation is studied via a deterministic parametric problem on an infinite-dimensional parameter space. We first study the best N-term approximation of the generalized polynomial chaos (gpc) expansion of the solution to the displacement formula by considering a Galerkin projection onto the space obtained by truncating the gpc expansion. We provide sufficient conditions on the coefficients of the elastic moduli's expansion so that a rate of conv

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4

Peherstorfer, F. "Explicit generalized zolotarev polynomials with complex coefficients." Constructive Approximation 13, no. 2 (1997): 261–69. http://dx.doi.org/10.1007/bf02678468.

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Peherstorfer, F. "Explicit Generalized Zolotarev Polynomials with Complex Coefficients." Constructive Approximation 13, no. 2 (1997): 261–69. http://dx.doi.org/10.1007/s003659900042.

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6

Ramachandran, C., T. Soupramanien, and J. Sokół. "On a Generalization of Bounded Univalent Function of Complex Order." Journal of Computational and Theoretical Nanoscience 15, no. 2 (2018): 601–5. http://dx.doi.org/10.1166/jctn.2018.7130.

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In this paper, we introduce a new class of analytic functions of complex order involving a family of generalized differential operators and we discuss the sufficient conditions, estimation of coefficients. The motivation of this paper is to generalize the Coefficient Estimates obtained by Attiya, and Aouf et al. by making use of the generalized differential operator Dnλ, μ.

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7

Deniz, Erhan, Jay M. Jahangiri, Samaneh G. Hamidi, and Sibel K. Kına. "Faber polynomial coefficients for generalized bi-subordinate functions of complex order." Journal of Mathematical Inequalities, no. 3 (2018): 645–53. http://dx.doi.org/10.7153/jmi-2018-12-49.

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8

Zhang, Sheng, Lijie Zhang, and Bo Xu. "Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed Coefficients." Complexity 2019 (March 21, 2019): 1–17. http://dx.doi.org/10.1155/2019/3206503.

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In this paper, we first present a complex multirational exp-function ansatz for constructing explicit solitary wave solutions, N-wave solutions, and rouge wave solutions of nonlinear partial differential equations (PDEs) with complex coefficients. To illustrate the effectiveness of the complex multirational exp-function ansatz, we then consider a generalized nonlinear Schrödinger (gNLS) equation with distributed coefficients. As a result, some explicit rational exp-function solutions are obtained, including solitary wave solutions, N-wave solutions, and rouge wave solutions. Finally, we simula

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9

Polosin, V. G. "Shape measures of generalized beta distributions." Journal of Physics: Conference Series 2094, no. 2 (2021): 022009. http://dx.doi.org/10.1088/1742-6596/2094/2/022009.

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Abstract This paper presents shape measures for generalized beta distributions that unit many subfamilies of distributions. For the study of complex systems, the information entropy of the whole family of the generalized beta distribution is obtained. The paper uses the interval of entropy uncertainty as an estimate of the entropy uncertainty for probable models, which are given in units of an observable random variable. The entropy uncertainty interval was used to construct the entropy coefficient of unbiased subfamilies of the generalized beta distribution. Particular entropy coefficients ar

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10

Teshaev, Muhsin, Ismoil Safarov, Dilshoda Ibragimova, Doniyor Rayimov, and Sharif Akhmedov. "Stationary response of the system “Cylindrical shell – viscoelastic filler” to the effect of a moving load." Journal of Physics: Conference Series 2697, no. 1 (2024): 012004. http://dx.doi.org/10.1088/1742-6596/2697/1/012004.

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Abstract The paper considers the stationary response of the system “cylindrical shell - viscoelastic filler” to the action of a moving load. The filler and the shell were assumed to be viscoelastic. Using the principle of analogy of viscoelastic and elastic problems (elastic-viscoelastic analogy), a stationary solution of the action of mobile loads on a shell with a viscoelastic filler is obtained. It is shown that this principle makes it possible to generalize the class of problems obtained for the case of viscoelastic media. Since the viscoelastic filler has damping properties, the inversion

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