In this survey we discuss the recent results on the existence in the sense of sequences of
solutions for certain elliptic problems containing the non-Fredholm operators. First of all, we …

Existence of solutions for some non-Fredholm integro-differential equations with mixed
diffusion Page 1 Chapter 4 Existence of solutions for some non-Fredholm integro-differential …

We study solvability of some linear nonhomogeneous elliptic problems and establish that
under reasonable technical conditions the convergence in L 2 (R d) of their right sides …

We establish the solvability of certain linear nonhomogeneous equations and demonstrate
that under reasonable technical conditions the convergence in L 2 (R d) of their right sides …

The article deals with the existence of solutions of an integro-differential equation in the case
of anomalous diffusion with the negative Laplace operator in a fractional power in the …

We establish the existence in the sense of sequences of solutions for certain systems of
integro-differential equations which involve the drift terms and the square root of the one …

We study the solvability of certain linear nonhomogeneous equations containing the
logarithm of the sum of the two Schrödinger operators in higher dimensions and …

Solvability of some integro-differential equations with drift and superdiffusion Page 1 Chapter
3 Solvability of some integro-differential equations with drift and superdiffusion In this chapter …

In this paper, we consider an integro-differential equation in L 2 (R), which involves the
logarithmic Laplacian in the presence of a drift term. The linear operator associated with the …

We study the solvability of certain linear and nonlinear nonhomogeneous equations in one
dimension involving the logarithmic Laplacian and the transport term. In the linear case we …