《解析函数和奇异积分方程论文选集》求取 ⇩

目录1

（一）解析函数边值问题1

复合边值问题1

周期Riemann边值问题及其在弹性力学中的应用11

开口弧段的双周期Riemann边值问题55

双准周期Riemann边值问题65

关于双准周期解析函数的DIRICHLET问题79

THE HILBERT BOUNDARY PROBLEM OF DOUBLY PERIODIC ANALYTIC FUNCTIONS84

Some Classes of Boundary Value Problems and Singular Integral Equations with a Transformation95

附录论文102

（二）奇异积分和奇异积分方程103

沿曲线的积分方程，其解具一阶奇异性103

关于Hilbert核奇异积分方程114

推广的留数定理及其应用121

ON SINGULAR INTEGRALS WITH SINGULARITIES OF HIGH FRACTIONAL ORDER AND THEIR APPLICATIONS128

The Approximation of Cauchy-Type Integrals by Some Kinds of Interpolatory Splines142

A Class of Quadrature Formulas of Chebyshev Type for Singular Integrals154

有关高阶奇异积分的Bertrand-Poincaré型换序公式168

ON METHODS OF SOLUTION FOR SOME KINDS OF SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION173

带复平移的奇异积分方程组185

CONVOLUTION EQUATIONS WITH REFLECTION AND TRANSLATION SHIFT192

Peano Derivatives and Singular Integrals of Arbitrary Order197

附录论文205

（三）在弹性和断裂力学中的应用206

关于不同弹性材料的平面焊接问题206

关于循环对称弹性平面中的数学问题222

关于周期应力平面弹性基本问题234

不同材料拼接平面裂纹中的数学问题245

平面弹性第二基本问题的新提法254

双周期平面弹性理论中的复Airy函数262

THE MATHEMATICAL PROBLEMS OF COMPOUND MATERIALS WITH CRACKS IN PLANE ELASTICITY272

具裂纹的复合材料拼接半平面的第二基本问题284

A CLASS OF MIXED-TYPE FUNDAMENTAL PROBLEMS ON ELASTIC HALF-PLANE294

PLANE ELASTIC PROBLEMS OF DIFFERENT MEDIA WITH CRACKS ON THE INTERFACE302

A GENERAL METHOD FOR SOLVING PLANE CRACK PROBLEMS311

附录论文323