Second order singular boundary value problems with integral boundary conditions

Autor:	Lingju Kong
Rok vydání:	2010
Předmět:	Singular boundary value problems Singular value Applied Mathematics Second order equation Mathematical analysis Order (group theory) Monotonic function Boundary value problem Uniqueness Special problem Analysis Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 72:2628-2638
ISSN:	0362-546X
DOI:	10.1016/j.na.2009.11.010
Popis:	We study the second order singular boundary value problem u ″ + λ f ( t , u ) = 0 , t ∈ ( 0 , 1 ) , u ( 0 ) = ∫ 0 1 u ( s ) d ξ ( s ) , u ( 1 ) = ∫ 0 1 u ( s ) d η ( s ) . Sufficient conditions are obtained for the existence and uniqueness of positive solutions. The dependence of positive solutions on the parameter λ is also studied. Moreover, application of our theory to a special problem is discussed. To prove our theorem, we utilize some results from the mixed monotone operator theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a84fe4d57620c307fb5d225b9a925c69 https://doi.org/10.1016/j.na.2009.11.010 Zobrazit plný text záznamu Full Text from ScienceDirect