Geodesic
Solvability of equations and the continuum hypothesis
Dalʹnevostočnyj matematičeskij žurnal, Tome 4 (2003) no. 2, pp. 162-166

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Up to now the questions about the existence of the solutions for some important systems of equations of the mathematical physics are open. The purpose of this paper is to put forward the conjecture that the solvability of these equations could be depended of the axioms of the set theory. We build the system of linear equations whose solvability is equivalent to the continuum hypothesis. 
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     author = {A. A. Khusainov},
     title = {Solvability of equations and the continuum hypothesis},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {162--166},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2003_4_2_a1/}
}
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A. A. Khusainov. Solvability of equations and the continuum hypothesis. Dalʹnevostočnyj matematičeskij žurnal, Tome 4 (2003) no. 2, pp. 162-166. http://geodesic.mathdoc.fr/item/DVMG_2003_4_2_a1/