Open AccessInvestigation of solutions of weakly perturbed boundary value problems for systems with impulse action
Author(s) -
Z. P. Ordynska,
R. F. Ovchar
Publication year - 2020
Publication title -
mathematics in modern technical university
Language(s) - English
Resource type - Journals
ISSN - 2664-4258
DOI - 10.20535/mmtu-2020.1-013
Subject(s) - boundary value problem , impulse (physics) , mathematics , ordinary differential equation , nonlinear system , action (physics) , mathematical analysis , differential equation , boundary (topology) , classical mechanics , physics , quantum mechanics
The paper is devoted to the investigation of the existence and construction of solutions of weakly perturbed linear boundary value problems for systems with impulse action in the case when the generating boundary value problem with impulse action has no solutions for arbitrary right-hand sides.The relevance of this topic is due primarily to the importance of practical application of the theory of boundary value problems in various fields of science and technology - the theory of nonlinear oscillations, the theory of motion stability, control theory, a variety of geophysical problems. On the other hand, the question of the existence and construction of solutions of boundary value problems occupies one of the central and fundamentally important places in the qualitative theory of ordinary differential equations.