The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a
subject in which its creator takes a keen interest. The concept of ill-posed problems was …

The book is devoted to the foundations of the theory of boundary-value problems for various
classes of systems of differential-operator equations whose linear part is represented by …

For a linear inhomogeneous differential equation in a Banach space, we find a criterion for
the existence of solutions that are bounded on the entire real axis under the assumption that …

Under the assumption that a linear homogeneous system defined on the direct product of a
torus and a Euclidean space is exponentially dichotomous on the semiaxes, we obtain a …

We study the problems of existence and representations of the solutions bounded on the
entire axis for both linear and nonlinear differential equations with unbounded operator …

We establish conditions under which solutions of weakly-perturbed systems of linear
ordinary differential equations bounded on the entire axis R emerge from the point ε= 0 in …

For a linear nonhomogeneous differential equation in a Banach space, we find a criterion for
existence of solutions that are bounded on the whole real axis with the assumption that the …

We study the existence of solutions to a non-homogeneous system of linear ODEs which
has the pole of first order at x= 0; these solutions should vanish at infinity and be …

We consider the problem of existence and structure of solutions bounded on the entire real
axis of nonhomogeneous linear impulsive differential systems. Under assumption that the …

For a weakly nonlinear differential equation in a Banach space, we establish necessary and
sufficient conditions for the existence of solutions bounded on the entire real axis under the …