Abstract: System of integral equations has been solved in many papers, especially, system of integral equations with degenerate kernels has been solved with Adomian’s decomposition method by some authors. In present paper, we try to solve system of integral equations by using collocation method with Legendre polynomials which is more efficient and needs less computations than Adomian’s decompos...

A finite group G is said to have the nilpotent decomposition property (ND) if for every element α of integral ring Z[G] one has that αe also belong Z[G], primitive central idempotent e rational algebra Q[G]. Results Hales, Passi and Wilson, Liu Passman show this fundamental in investigations multiplicative Jordan rings. If all its subgroups ND then showed SSN, is, H, Y N G, N◁H Y⊆H N⊆Y or YN no...

The dual boundary element method is formulated for the analysis of linear elastic cracked plates. The dual boundary integral equations of the method are the displacement and the traction equations. When these equations are simultaneously applied along the crack boundaries, general crack problems can be solved in a single-region formulation, with both crack boundaries discretized with discontinu...

the methods applied to regularization of the ill-posed problems can be classified under “direct” and “indirect” methods. practice has shown that the effects of different regularization techniques on an ill-posed problem are not the same, and as such each ill-posed problem requires its own investigation in order to identify its most suitable regularization method. in the geoid computations witho...

Let Z → X be a nite branched Galois cover of normal projective geometrically integral varieties of dimension d ≥ 2 over a perfect eld k. For such a cover, we prove a Chebotarev-type density result describing the decomposition behaviour of geometrically integral Cartier divisors. As an application, we classify Galois covers among all nite branched covers of a given normal geometrically integral ...

In this article to prove existence of solution of infinite system of nonlinear integral equations, we consider the space of solution containing all convergence sequences with a finite limit, as with a suitable norm is a Banach space. By creating a generalization of Meir-Keeler condensing operators which is named as F-generalized Meir-Keeler condensing operators and measure of noncompactness, we...