首页|估计第二类Fredholm积分方程特征值的函数值部分Padé-型逼近方法

估计第二类Fredholm积分方程特征值的函数值部分Padé-型逼近方法

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Function-valued partial Padé-type approximation method for estimating eigenvalues of Fredholm integral equation of the second kind
A new function-valued partial Padé-type approximation was introduced in the polynomial space, and an explicit determinant formula was derived by means of some orthogonal polynomials. This method can be applied to estimating surplus eigenvalues of the Fredholm integral equation of the second kind when its partial eigenvalues have been known, and at the same time, it can be applied to solving the approximating solution of the given equation.

linear functional, function-valued partial Padé approximation, determinant, Fredholm integral equation of the second kind, eigenvalue.

顾传青、沈进东

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

linear functional, function-valued partial Padé approximation, determinant, Fredholm integral equation of the second kind, eigenvalue.

国家自然科学基金

10271074

2007

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2007.11(6)
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