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This article is cited in 6 scientific papers (total in 6 papers)
Brief communications
Solvability of Equations with Partially Additive Operators
N. A. Erzakova Moscow State Technical University of Civil Aviation
Abstract:
New results related to the solvability of equations with partially additive operators acting on regular spaces are obtained by methods of functional analysis. The equations under examination have important applications, in particular, to nonlinear mechanics and physics. Topological properties of partially additive operators are also studied.
Keywords:
regular space, partially additive operator, measure of nonequiabsolute continuity,
condensing operator, Hausdorff measure of noncompactness, Urysohn operator, Hammerstein operator, Lorentz space, Lebesgue space, Orlicz space.
Received: 31.07.2009
Citation:
N. A. Erzakova, “Solvability of Equations with Partially Additive Operators”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 69–72; Funct. Anal. Appl., 44:3 (2010), 216–218
Linking options:
https://www.mathnet.ru/eng/faa3004https://doi.org/10.4213/faa3004 https://www.mathnet.ru/eng/faa/v44/i3/p69
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