It is proved that there exists a formula of first-order logic with only one non-logical symbol, a binary function symbol Ap signifying application, which unifor
Suppose that B is a sufficiently large positive constant, ε is a sufficiently small positive constant and N is sufficiently large. In this paper, it has teen m
Suppose that B is a sufficiently large positive constant, e is a sufficiently small positive constant and N is sufficiently large. It has been mainly proved tha
The packing measure for a random re-ordering of the Cantor set, the packing dimension for the random set belonging to a sequence satisfying the Hausdorff and pa
The Cauchy problem and initial traces for the doubly degenerate parabolic equationsare studied. Under certain growth condition on the initial datum u0(x) as the
A well-known result established by Arendt in 1987 with regard to the Laplace transforms in Banach spaces is developed. A Widder-Arendt theorem in the setting of
Let r(n) denote the number of representations of n as the sums of 5 cubes and 3 biquadra-tes of natural numbers. Then for all sufficiently large n, one has r(n)
The existence of a global periodic attractor for a sinh-Gordon equation with the homogeneous Dirichlet boundary condition, nonlinear damping and periodic forcin
Kahane has studied the value distribution of Gauss-Taylor series where is a complex Gauss sequence and The value distribution of more general random Taylor seri