Volume 25, No. 2 (2015)

Articles

ON δ-SMALL SOFT SUBMODULES

Several problems with applications to economics, engineering, environment science, social sciences, medical sciences and other fields cannot be solved by classical mathematical methods since they have inherent difficulties due to the inadequacy of the parametriza-tion tools. Exact solutions for the mathematical models are needed in classical mathemat-ics. If the model is so complicated, then it is not easy to find an exact solution. To handle these kind of situations, many tools have been suggested. Probability theory, fuzzy sets, rough sets and other mathematical tools have their inherent difficulties.

SEPARATION AXIOMS BETWEEN REGULAR SPACES AND R₀-SPACES

New separation axioms which lie strictly between regularity and R₀-axiom are introduced and their basic properties are studied. The interrelations and interconnections among them and the separation axioms which already exist in the mathematical literature are outlined. Their preservation under mappings is discussed. The investigation reveals several new epi-reflective (monoreflective) subcategories of TOP.

GROWTH OF LOGARITHMIC DIFFERENCES OF MEROMORPHIC FUNCTIONS AND THEIR APPLICATIONS

In this paper, some properties about the behavior of growth of logarithmic differences of meromorphic functions are obtained, we prove also some relations between the exponent of convergence of meromorphic functions and the growth of their logarithmic differ-ences. In addition, we give some applications in complex difference equations and uniqueness theory.