IMPULSE BOUNDARY VALUE PROBLEM
DOI:
https://doi.org/10.31471/2304-7399-2025-20(76)-59-64Keywords:
canonical form, degenerate Noetherian momentum problem, pseudoinverse matrice, orthoprojector.Abstract
The article considers a degenerate impulse boundary value problem for
systems of ordinary differential equations with a matrix degenerate on the entire
segment where the problem is considered, with respect to the derivative, for the
case when the number of unknowns does not coincide with the number of boundary
conditions. A criterion for the existence of solutions to a degenerate impulse
boundary value problem is obtained, assuming that the degenerate differential
system reduces to the central canonical form. For the problem under consideration,
the conditions for the existence of solutions to a degenerate impulse boundary
value problem are reduced to the solution of the algebraic system.
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