Karandzhulov L. I.
Ukr. Mat. Zh. - 1995. - 47, № 6. - pp. 770–774
By using pseudoinverse matrices, we establish conditions for the existence and uniqueness of solutions of linear and weakly linear boundary-value problems for ordinary differential equations with pulse action. We consider the case where the dimension of a differential system does not coincide with the dimension of the boundary conditions.
Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 849–856
We establish an algebraic criterion of solvability, study the structure of general solutions of linear boundary-value problems for systems of differential equations with pulse effects, and construct the generalized Green's matrix.
Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 372–377
By using semiinverse matrices and a generalized Green's matrix, we construct solutions of boundary-value problems for linear and weakly perturbed nonlinear systems of ordinary differential equations with a parameter in boundary conditions.
Structure of the general solutions to boundary-value problems for ordinary differential equations under pulse influence studied by using semireciprocal matrices
Ukr. Mat. Zh. - 1993. - 45, № 5. - pp. 616–625
The general solutions of linear boundary-value problems for systems of ordinary differential equations under pulse influence are constructed by using semireciprocal matrices and the generalized Green matrix.
Ukr. Mat. Zh. - 1991. - 43, № 6. - pp. 760-770
Sufficient conditions for the existence of periodic solutions of quasilinear autonomous systems are obtained, using the theory of branching of nonlinear equations.