Asymptotic properties of some non-linear difference equations are considered. AMS(1980) Subject Classification: 39A12, 45E99..

We give examples where Kanenobu’s rationality criterium fails. AMS subject classification: 57M25 (primary).

In this paper we introduce the concept of mixed fuzzy ideal topological spaces in Lowen sense. AMS subject classification: 54A40.

Received August 26, 2011 and in revised form September 23, 2011. AMS Subject Classification: Primary: 35B30, 35Q35, Sceondary: 35C05, 35E05.

In this note an extension-type theorem for null-additive fuzzy measures is proved. AMS Mathematics Subject Classification (2000): 28A25

We consider some metrics and weak metrics defined on the Teichmüller space of a surface of finite type with nonempty boundary, that are defined using the hyperbolic length spectrum of simple closed curves and of properly embedded arcs, and we compare these metrics and weak metrics with the Teichmüller metric. The comparison is on subsets of Teichmüller space which we call “ε0-relative ǫ-thick p...

This paper deals with parabolic equations coupled via nonstandard growth sources, subject to homogeneous Dirichlet boundary conditions. Three kinds of necessary and sufficient conditions are obtained, which determine the complete classifications for non-simultaneous and simultaneous blowup phenomena. Moreover, blowup rates are given. AMS Mathematics Subject Classification : 35K05, 35K60, 35B40,...

We investigate the existence and nonexistence of positive solutions for a system of nonlinear higher-order ordinary differential equations subject to some multi-point boundary conditions. AMS Subject Classification: 34B10, 34B18.

We construct a new set of discrete differential forms based on B-splines of arbitrary degree as well as an associated Hodge operator. The theory is first developed in 1D and then extended to multi-dimension using tensor products. We link our discrete differential forms with the theory of chains and cochains. The spline discrete differential forms are then applied to the numerical solution of Ma...

This paper considers tests and con…dence sets (CS’s) concerning the coe¢ cient on the endogenous variable in the linear IV regression model with homoskedastic normal errors and one right-hand side endogenous variable. The paper derives a …nite-sample lower bound function for the probability that a CS constructed using a two-sided invariant similar test has in…nite length and shows numerically t...