Some applications of dominated convergence theorems to a higher order singular boundary value problem

• Autorzy: Yao Q.
• Języki publikacji: EN

Abstrakty

EN

The existence of positive solution is considered for a singular higher-order boundary value problem, where the nonlinear term is a strong Carathéodory function. Two new existence theorems are proved by applying the Lebesgue dominated convergence theorem, the Fatou lemma and the Krasnosel'skii fixed point theorem of cone expansion or cone compression type.

Słowa kluczowe

EN

higher-order boundary value problem; dominated convergence theorem; positive solution; existence

PL

zagadnienie brzegowe wyższego rzędu; twierdzenie zbieżności majoryzowanej; pozytywne rozwiązanie; istnienie

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 1
• Strony: 15--30
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Yao Q.

• Department of Applied Mathematics, Nanjing University of Finanse and Economics, Nanjing 210003, P.R. China,

Bibliografia

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