HIGHER-ORDER SINGULAR MULTI-POINT BOUNDARY-VALUE PROBLEMS ON TIME SCALES

Küçük Resim Yok

Tarih

2011

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

Sayı

Künye