Geodesic
On solvability of impulse systems
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 3-18

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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
Mots-clés : distribution, impulse equation. 
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     author = {V. I. Rodionov},
     title = {On solvability of impulse systems},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {3--18},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/VUU_2010_2_a0/}
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V. I. Rodionov. On solvability of impulse systems. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 3-18. http://geodesic.mathdoc.fr/item/VUU_2010_2_a0/