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On the Approximate Solution of a Class of Nonlinear Multidimensional Weakly Singular Integral Equations
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2020-12-30 , DOI: 10.1134/s1995080220110037 Yu. R. Agachev , R. K. Gubaidullina
中文翻译:
一类非线性多维弱奇异积分方程的近似解
更新日期:2020-12-30
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2020-12-30 , DOI: 10.1134/s1995080220110037 Yu. R. Agachev , R. K. Gubaidullina
Abstract
In this work, for a class of nonlinear weakly singular integral equations defined in the space of quadratically summable functions in a circle, the rationale for the general projection method is given. Using the obtained general results, the convergence of the well-known Galerkin method is proved.
中文翻译:
一类非线性多维弱奇异积分方程的近似解
摘要
在这项工作中,对于在一圈二次可求函数空间中定义的一类非线性弱奇异积分方程,给出了一般投影方法的原理。使用获得的一般结果,证明了著名的Galerkin方法的收敛性。