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초록· 키워드
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Using a degree theory for countably condensing multivalued maps, we show that under certain conditions an invariance of domain theorem holds for countably condensing or countably k-contractive multivalued vector fields.
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참고문헌 (14)
참고문헌 신청
H. Monch / 1980 / Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces / Nonlinear Anal. 4 (5) : 985 ~ 999
I.-S. Kim / 2005 / On the domain invariance of countably condensing vector fields / J. Math. Anal. Appl. 307 (1) : 65 ~ 76
I.-S. Kim / 2005 / The invariance of domain theorem for condensing vector fields / Topol. Methods Nonlinear Anal. 25 (2) : 363 ~ 373
J. Schauder / 1929 / Invarianz des Gebietes in Funktionalraumen / Studia Math. 1 : 123 ~ 139
J. Schauder / 1932 / Uber den Zusammenhang zwischen der Eindeutigkeit und Losbarkeit partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus / Math. Ann. 1
I.-S. Kim / 2005 / On the domain invariance of countably condensing vector fields / J. Math. Anal. Appl. 307 (1) : 65 ~ 76
I.-S. Kim / 2005 / The invariance of domain theorem for condensing vector fields / Topol. Methods Nonlinear Anal. 25 (2) : 363 ~ 373
J. Schauder / 1929 / Invarianz des Gebietes in Funktionalraumen / Studia Math. 1 : 123 ~ 139
J. Schauder / 1932 / Uber den Zusammenhang zwischen der Eindeutigkeit und Losbarkeit partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus / Math. Ann. 1
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