HIGHER-ORDER SINGULAR MULTI-POINT BOUNDARY-VALUE PROBLEMS ON TIME SCALES
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
CAMBRIDGE UNIV PRESS
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study classes of higher-order singular boundary-value problems on a time scale T with a positive parameter lambda in the differential equations. A homeomorphism and homomorphism phi are involved both in the differential equation and in the boundary conditions. Criteria are obtained for the existence and uniqueness of positive solutions. The dependence of positive solutions on the parameter lambda is studied. Applications of our results to special problems are also discussed. Our analysis mainly relies on the mixed monotone operator theory. The results here are new, even in the cases of second-order differential and difference equations.
Açıklama
Anahtar Kelimeler
positive solutions, singular boundary-value problems, existence, uniqueness, dependence, mixed monotone operator
Kaynak
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
54
