The homotopy method for the solution of nonlinear equations is revisited in the present study. An analytic method is proposed for determining the valid region of convergence of control parameter of the homotopy series, as ...

Our aim is to establish a spatial decay and growth estimates for solutions of the initial-boundary value problem for the linear wave equation with the damping term under nonlinear boundary conditions. (C) 2001 Elsevier ...

This paper aims to give a new perspective for definability in rough set theory. First, a counterpart of definability is introduced in textural approximation spaces. Then a complete field of sets for texture spaces is defined ...

The category Rel whose objects are all pairs (U, r), where r is a relation on a universe U, and whose morphisms are relation-preserving mappings is a canonical example in category theory. One of the convenient categories ...

In this paper a novel approach is presented for an analytic approximate solution of nonlinear differential equations with boundary conditions. By converting the nonlinear problem into an initial value form, a shooting-like ...

A sequence of period n is called a nearly perfect sequence of type gamma if all out-of-phase autocorrelation coefficients are a constant gamma. In this paper we study nearly perfect sequences (NPS) via their connection to ...

It is known that the theories of rough sets and fuzzy sets have successful applications in computing. Textures, as a theoretical model, provide a new perspective for both rough sets and fuzzy sets. Indeed, recent papers ...

We study fibre products of an arbitrary number of Kummer covers of the projective line over F-q under suitable weak assumptions. If q - 1 = r(n) for some prime r, then we completely determine the number of rational points ...

The authors characterize di-uniformities on a texture (S, J) in the sense of Ozgag and Brown (Di-uniform texture spaces, Appl. Gen. Top. 4(1) (2003), 157-192) in terms of functions on the texturing J. This characterization ...