Geodesic
Solvability of Equations with Partially Additive Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 69-72

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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, Orlicz space.
Mots-clés : Lebesgue space 
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     author = {N. A. Erzakova},
     title = {Solvability of {Equations} with {Partially} {Additive} {Operators}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {69--72},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a6/}
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N. A. Erzakova. Solvability of Equations with Partially Additive Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 69-72. http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a6/