Generalized quasilinearization for singular system of differential equations

Kamar ARAE.; Vajravelu K.; Mosaad M.; Attia GM.

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Generalized quasilinearization for singular system of differential equations

机译：奇异微分方程组的广义拟线性化。

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We had earlier employed (A.R. Abd-Ellateef Kamar, The method of generalized quasilinearization for degenerate singular perturbation problem, to appear; A.R. Abd-Ellateef Kamar, Extension of the method of generalized quasilinerization for degenerate singular perturbation problem, to appear) the generalized quasilinearization method for the degenerate singular perturbation problem: gamma' = f(t,gamma,lambda),gamma(0) = gamma(0), 0 = F(t,gamma,lambda). Here we have employed the generalized quasilinearization method for the following singular system of differential equations: A gamma' = f(t,gamma),gamma(0) = y(0), where A is a singular n x n matrix. (C) 2000 Elsevier Science Inc. All rights reserved. [References: 5]

机译：我们之前曾采用过（AR Abd-Ellateef Kamar，退化的奇异摄动问题的广义拟线性化方法; AR Abd-Ellateef Kamar，退化的奇异摄动问题的广义拟线性化方法的扩展）退化奇异摄动问题的一种方法：γ'= f（t，γ，λ），γ（0）=γ（0），0 = F（t，γ，λ）。在这里，我们对以下奇异的微分方程组采用了广义拟线性化方法：A gamma'= f（t，gamma），gamma（0）= y（0），其中A是奇异n x n矩阵。（C）2000 Elsevier Science Inc.保留所有权利。 [参考：5]

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《Applied mathematics and computation》 |2000年第1期|共6页
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Kamar ARAE.; Vajravelu K.; Mosaad M.; Attia GM.;
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1. Generalized quasilinearization for singular system of differential equations [J] . Kamar ARAE., Vajravelu K., Mosaad M., Applied mathematics and computation . 2000,第1期

机译：奇异微分方程组的广义拟线性化。
2. General quasilinearization method for systems of differential equations with a singular matrix [J] . Tadeusz Jankowski Miskolc Mathematical Notes . 2006,第2006期

机译：具有奇异矩阵的微分方程组的一般拟线性化方法
3. Generalized Quasilinearization for Systems of Nonlinear Differential Equations with Periodic Boundary Conditions [J] . Ahmed R. Abd-Ellateef Kamar, Zahia Drici Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2005,第1期

机译：具有周期边界条件的非线性微分方程系统的广义拟线性化
4. Generalized Quasilinearization for System of Fractional Differential Equations [C] . Peiguang Wang, Ying Hou . 2012

机译：分数阶微分方程组的广义拟线性化
5. Singularities of hyperbolic systems of partial differential equations. [D] . Vu, Hai Huy. 1993

机译：偏微分方程双曲系统的奇异性。
6. Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities [O] . Yun Xin, Hongmin Liu -1

机译：具有吸引和排斥奇点的四阶广义中立p-Laplacian微分方程周期解的存在性
7. General quasilinearization method for systems of differential equations with a singular matrix [O] . T. Jankowski 2006

机译：奇异基质微分方程系统的一般准分析方法
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

Generalized quasilinearization for singular system of differential equations

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