Generalized solutions for linear operators with weakened a priori inequalities

  • A. V. Anikushyn
  • D. A. Nomirovs'kii


We propose an approach to the investigation of generalized solutions of linear operators that satisfy weakened a priori inequalities. This approach generalizes several well-known definitions of generalized solutions of operator equations. We prove existence and uniqueness theorems for a generalized solution.
How to Cite
Anikushyn, A. V., and D. A. Nomirovs’kii. “Generalized Solutions for Linear Operators With Weakened a Priori Inequalities”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 8, Aug. 2010, pp. 1011–1021,
Research articles