# Search results for: Ivan Dimovski

Open Physics > 2013 > 11 > 10 > 1304-1313

Open Physics > 2013 > 11 > 10 > 1304-1313

Mathematics in Computer Science > 2010 > 4 > 2-3 > 243-258

Banach Center Publications > 2000 > 53 > 1 > 105-112

Open Physics > 2013 > 11 > 10 > 1304-1313

The fractional cable equation is studied on a bounded space domain. One of the prescribed boundary conditions is of Dirichlet type, the other is of a general form, which includes the case of nonlocal boundary conditions. In real problems nonlocal boundary conditions are prescribed when the data on the boundary can not be measured directly. We apply spectral projection operators to convert the problem...

Open Physics > 2013 > 11 > 10 > 1304-1313

The fractional cable equation is studied on a bounded space domain. One of the prescribed boundary conditions is of Dirichlet type, the other is of a general form, which includes the case of nonlocal boundary conditions. In real problems nonlocal boundary conditions are prescribed when the data on the boundary can not be measured directly. We apply spectral projection operators to convert the problem...

Mathematics in Computer Science > 2010 > 4 > 2-3 > 243-258

Let Φ be a linear functional of the space $${\mathcal{C} =\mathcal{C}(\Delta)}$$ of continuous functions on an interval Δ. The nonlocal boundary problem for an arbitrary linear differential equation $$ P\left(\frac{d}{d t}\right)y = F(t) $$ with constant coefficients and boundary value conditions of the form $$ \Phi\{\,y^{(k)}\} =\alpha_k,\,\,\,k = 0,\,1,\,2,\, \ldots,\,{\rm deg} P-1...

Banach Center Publications > 2000 > 53 > 1 > 105-112

Elements of operational calculi for mean-periodic functions with respect to a given linear functional in the space of continuous functions are developed. Application for explicit determining of such solutions of linear ordinary differential equations with constant coefficients is given.