RUS  ENG
Full version
JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010 Issue 2, Pages 3–18 (Mi vuu148)

This article is cited in 1 paper

MATHEMATICS

On solvability of impulse systems

V. I. Rodionov

Udmurt State University

Abstract: In parametrical family of subspaces of space of regulated functions the concept of the adjoint integral (in everyone subspace own integral is applied) is defined. In subspace, representing their crossing, the concept of the adjoint integral also is defined. This subspace includes the space of functions of the bounded variation. In any subspace on the basis of the adjoint integral the concept of the generalized regulated function and its adjoint generalized derivative is defined. Solvability of linear impulse systems in terms of adjoint generalized functions is proved.

Keywords: regulated function, distribution, impulse equation.

UDC: 517.5+517.9

MSC: 46F05, 34A37

Received: 26.11.2009

DOI: 10.20537/vm100201



© Steklov Math. Inst. of RAS, 2025