S.-Y. A. Chang, J. Qing, and P. Yang proved an important gap theorem for Bach-flat metrics with round sphere as model case in 2007. In this article, we generalize result by establishing conformally invariant theorems 4-manifolds $$(\mathbb {CP}^2, g_{FS})$$ $$(S^2 \times S^2,g_{prod})$$ cases. An iteration argument plays role the of convergence theory is particular importance . The latter provi...

In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools ...

The local fractional variational iteration method is applied to a modified Fisher?s equation defined on Cantor sets with the fractal conditions. solution process simple, and accuracy of approximate high. provides an unrivaled tool for differential equations. Key word: equation, analytical solutions, method, derivative

Assuming GCH $\mathsf {GCH}$ , we show that generalized eventually narrow sequences on a strongly inaccessible cardinal κ are preserved under one step iteration of the Hechler forcing for adding dominating κ-real. Moreover, if is unfoldable, 2 = + $2^\kappa =\kappa ^+$ and λ regular such < $\kappa ^+ \lambda$ then there set generic extension in which s ( ) b c $\mathfrak {s}(\kappa \kappa \math...

Even though only the essential e lements of the e lementary matrices Ei and the permutat ion matrices Pi need to be stored, it may be necessary to refactorize the current constraint matrix N at some point because of storage limitations, or as mentioned in [1], in order to reduce the average execution time per iteration. The fact that this refactorizat ion affects the factorizations T T B ' T = ...