Sentence examples for a system of singular from inspiring English sources

These problems are formulated as a system of singular integral equations with Cauchy-type singularities, where the unknowns are densities of body forces distributed in the r, θ, z directions.

This approach results in a system of singular integral equations.

The solution method for solving a system of singular integro-differential equations is also proposed.

Using Hankel transform technique, the mixed boundary value problem is reduced to a system of singular integral equations.

The problem can be reduced to a system of singular integral equations and solved by using the Gauss Chebyshev formulas.

A system of singular integral equations is formulated for general anisotropic piezoelectric bimaterial with kernel functions expressed in complex form.

The problem is reduced to a system of four singular integral equations.

Under these conditions, system (1.1) is called a system of Weakly Singular Integral Algebraic equations (WSIAEs) of index 1.

By introducing two dislocation density functions, the mixed boundary conditions of the crack are recast into a system of Cauchy singular integral equations, which are then solved numerically.

This paper deals with the existence and multiplicity of positive solutions for a system of nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions.

Employment of the transfer matrix method and Fourier integral transform technique reduce the problem to a system of Cauchy singular integral equations.