Iterative method for solving nonlinear integral equations describing rolling solutions in string theory

Joukovskaya LV

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Iterative method for solving nonlinear integral equations describing rolling solutions in string theory

机译：求解用弦论描述滚动解的非线性积分方程的迭代方法

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We consider a nonlinear integral equation with infinitely many derivatives that appears when a system of interacting open and closed strings is investigated if the nonlocality in the closed string sector is neglected. We investigate the properties of this equation, construct all iterative method for solving it, and prove that the method converges.

机译：如果忽略闭弦区域中的非局部性，我们将研究一个非线性的积分方程，该方程具有无限多个导数，当研究开放和闭弦相互作用的系统时会出现。我们研究了该方程的性质，构造了求解该方程的所有迭代方法，并证明了该方法的收敛性。

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《Theoretical and mathematical physics》 |2006年第3期|共8页
作者
Joukovskaya LV;
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正文语种 eng
中图分类数学;
关键词
string theory; nonlinear integral equation; iterative method; FIELD-THEORY; DYNAMICS; TACHYON;

机译：弦论非线性积分方程迭代法场理论动力学速度;

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专利

1. Iterative method for solving nonlinear integral equations describing rolling solutions in string theory [J] . Joukovskaya LV Theoretical and mathematical physics . 2006,第3期

机译：求解用弦论描述滚动解的非线性积分方程的迭代方法
2. Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution [J] . Hazarika Bipan, Srivastava H. M., Arab Reza, Applied mathematics and computation . 2019,第期

机译：模拟功能的应用和非线性函数整体方程可溶性的应用和迭代算法介绍的应用
3. On Sensitivity of Iterated Methods to Initial Points in Solving Nonlinear System of Equations and Predict Methods Behavior Far Away from Solution [J] . T.C. Souza, C.A.O. Bello, C.B.S. Dumont, Australian Journal of Basic and Applied Sciences . 2013,第2013期

机译：求解非线性方程组的迭代方法对初始点的敏感性并预测远离解的行为
4. On numerical solution of nonlinear fuzzy Urysohn-Volterra delay integral equations based on iterative method and trapezoidal quadrature rule [C] . R. Ezzati, A. Mashhadi Gholam, H. Nouriani Iranian Joint Congress on Fuzzy and Intelligent Systems . 2020

机译：基于迭代法和梯形正交规则的非线性模糊Urysohn-Volterra延迟积分方程的数值解
5. Superconvergence of iterated solutions for linear and nonlinear integral equations: Wavelet applications [D] . Novaprateep, Boriboon. 2003

机译：线性和非线性整体方程的迭代解的超计度：小波应用
6. On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations [O] . Taher Lotfi, Alicia Cordero, Juan R. Torregrosa, -1

机译：基于Bi等人的概论。八阶收敛迭代法求解非线性方程
7. Iterative method for solving nonlinear integral equations describing rolling solutions in String Theory [O] . Joukovskaya, L. 2007

机译：求解非线性积分方程的迭代解法弦理论中的滚动解
8. Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods [R] . Blom, J. G., Brunner, H. 1985

机译：第二类非线性Volterra积分方程的配置和迭代配置方法的数值解

Iterative method for solving nonlinear integral equations describing rolling solutions in string theory

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