Generalized Green operator of a boundary-value problem with degenerate pulse influence

  • О. A. Boichuk
  • E. V. Chuiko
  • S. M. Chuiko

Abstract

We find necessary and sufficient conditions for solvability of nonhomogeneous linear boundary-value problems for systems of ordinary differential equations with impulsive force in a general case where the number of boundary-value conditions in not equal to the order of the differential systems (Noetherian problems). We construct a generalized Greens's operator for boundary-value problems, not every solution of which can be extended from the left end point to the right end point of the interval where the solution is defined.
Published
25.05.1996
How to Cite
BoichukО. A., ChuikoE. V., and ChuikoS. M. “Generalized Green Operator of a Boundary-Value Problem With Degenerate Pulse Influence”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 5, May 1996, pp. 588-94, https://umj.imath.kiev.ua/index.php/umj/article/view/5291.
Section
Research articles