First, human beings form social relations that are not arbitrary and coincidental but exhibit some regularity and continuity.
The study concluded that the volume of general and gynecologic medical care, but not regularity and continuity of care, was associated with recency of mammography.
"If children have lost the regularity and continuity of their lives, as we are seeing throughout many flood affected areas of Zambia, preserving fundamental daily events in their lives – such as education – can prove critical to their psycho-social development and mental health.
These arguments were also used to prove the Morrey regularity and Hölder continuity for weak solutions to the obstacle problems associated with a single elliptic equation with constant coefficients or continuous coefficients; see [18 22].
we have from (3.11), asymptotic regularity and uniform continuity of T i that | | y n - T i y n | | → 0, as n → ∞, for each i = 1, 2, …, N. (3.13).
Also, it is clear that both the condition of regularity of X and continuity of T are satisfied, and for x 0 = 0, we have x 0 ⪯ T x 0. Therefore, all conditions of Theorem 2.1 are satisfied, and so T has a fixed point in X (which is z = 0 ).
In [2 4], Campanato obtained the (L^{2,lambda } -regularity and Hölder continuity for the weak solutions of elliptic systems with continuous coefficients.
What constitutes a "good" configuration, or a poor one, is unfortunately not clearly specified, though several properties of good configurations can be listed, chief among them being simplicity, stability, regularity, symmetry, continuity, and unity.
Yet the notion of social structure is not easy to dispense with, because it expresses ideas of continuity, regularity, and interrelatedness in social life.
A comic, contemplative dynamism, a gratuity, a movement from play to play, a definitiveness that responds to some deep need, a religious need, a sense of meaning that is at once final and provisional: a substratum of dependable regularity, continuity, and an ever renewed variety, openness to new possibilities, new chances.
In this paper, we will investigate the regularity and symmetry as well as Hölder continuity of solutions to problem (1.1), which can be deduced to neither problem (1.5) nor (1.6).
