In [18], fundamental solutions for the generalized bi-axially symmetric Helmholtz equation were constructed in R+ 2 = {(x, y) : x > 0, y > 0} . They contain Kummer’s confluent hypergeometric functions in three variables. ...

The existence of direct variational formulations for a wide class of second order evolutionary equations is investigated.

The paper deals with projection methods of approximate solving the problem Fx0 = Gx + bu(t), y = hx, di which consist in passage to the reduced-order problem b F ˆx0 = bG ˆx +ˆbu(t), ˆy = hˆx, ˆ di, where b F = FV, ...

In this paper, we state, prove and discuss new general Steffensen type inequality. As a special case of that general result we obtain fractional inequalities involving fractional integrals and derivatives of Riemann-Liouville, ...