An a posteriori parameter choice strategy is proposed for the simplified regularization of ill-posed problems where no information about the smoothness of the unknown solution is required. If the smoothness of the solution ...

We extend the results on the Mean Value Theorem obtained by Flett, Myers, Sahoo, Cakmak and Tiryaki to holomorphic functions.

In this paper, we shall apply symmetry analysis to some first order functional differential equations with constant coefficients. The approach used in this paper accounts for obtaining the inverse of the classification. ...

Let M(n)=(N3(n)/48), where N3(n) denotes the number of ways in which n can be written as sum of three squares. We study the congruence properties of some partition functions in relation to M(16n + 14).

We present a comparison result to discuss the periodic boundary value problem for neutral differential equation with piecewise constant delay.

Let lambda(0) be a semisimple eigenvalue of an operator T(0). Let gamma(0) be a circle with centre lambda s(0) containing no other spectral value of T(0). Some lower bounds are obtained for the convergence radius of the ...

The problem of a quantum particle in a gaussian homogeneous, random potential is shown to admit a stochastic symmetry group and its unitary representations are found. It is pointed out that the theory of group representation ...