EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 35(49), pp. 119--123 (1984)

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NELINEJNYE URAVNENIYA GAMMERSHTEINA I NEPODVIZHNYE TOCHKI

Radoe SHchepanovich

Prirodno-matematicki fakultet, Podgorica, Yugoslavia

Abstract: V etoj stat'e rassmatrivaet\-sya vopros razreshimosti uravneniya tipa Gammershteina. Dokazany tri teoremy o nepodvizhnyh tochkah nelinejnyh otobrazhenij. Zdes', kak i v stat'yah [2], [3], [4], [5] rassmatrivayut\-sya funkcionaly s dvumya peremennymi. V pervih dvuh teoremah linejnyj operator v uravnenii Gammershteina zavisit ot tochki gil'bertova prostranstva $H$ v kotorom rassmatrivaet\-sya vopros razreshimosti.

Classification (MSC2000): 47H15

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