The solvability of a new class of boundary value problems for the Laplace equation is studied. The problem considered is a generalization of the classical Robin problem. Exact conditions are established for the solvability of the problem, and integral solution representations are constructed for various cases of data.
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Univ St Etienne, Univ Lyon, CNRS, Lab H Curien UMR5516, St Etienne, FranceUniv St Etienne, Univ Lyon, CNRS, Lab H Curien UMR5516, St Etienne, France
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Inst Math & Math Modelling MES RK, Pushkin St 125, Alma Ata 050010, KazakhstanInst Math & Math Modelling MES RK, Pushkin St 125, Alma Ata 050010, Kazakhstan
Sadybekov, Makhmud A.
Turmetov, Batirkhan K.
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Inst Math & Math Modelling MES RK, Pushkin St 125, Alma Ata 050010, Kazakhstan
Akhmet Yasawi Int Kazakh Turkish Univ, Turkistan 161200, KazakhstanInst Math & Math Modelling MES RK, Pushkin St 125, Alma Ata 050010, Kazakhstan
Turmetov, Batirkhan K.
Torebek, Berikbol T.
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Al Farabi Kazakh Natl Univ, Alma Ata 050040, KazakhstanInst Math & Math Modelling MES RK, Pushkin St 125, Alma Ata 050010, Kazakhstan