Green’s function and positive solutions of nth order m-point boundary value problem

Autor:	Wei Dong, Zhongli Wei, Changci Pang
Rok vydání:	2006
Předmět:	Applied Mathematics Mathematical analysis Fixed-point index Value (computer science) Function (mathematics) Combinatorics Computational Mathematics Point boundary symbols.namesake Green's function symbols Order (group theory) Boundary value problem Mathematics
Zdroj:	Applied Mathematics and Computation. 182:1231-1239
ISSN:	0096-3003
DOI:	10.1016/j.amc.2006.05.010
Popis:	In this paper, we study the expression and properties of Green’s function for nth order m-point boundary value problem. u ( n ) ( t ) + a ( t ) f ( u ) = 0 , t ∈ ( 0 , 1 ) u ( 0 ) = u ′ ( 0 ) = ⋯ = u ( n - 2 ) ( 0 ) = 0 , u ( 1 ) = ∑ i = 1 m - 2 α i u ( η i ) , where 0 0 with ∑ i = 1 m - 2 α i η i n - 1 1 , furthermore, we obtained the existence of positive solutions by meas of fixed point index theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::edad6dac2d452cee7a013a3cfcde84db https://doi.org/10.1016/j.amc.2006.05.010 Zobrazit plný text záznamu Full Text from ScienceDirect