Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations

Autor: Jiqiang Jiang, Weiwei Liu, Hongchuan Wang
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-14 (2018)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-018-1627-6
Popis: Abstract In this paper, by using the properties of the Green function, u0 $u_{0}$-positive operator and Gelfand’s formula, some properties of the first eigenvalue corresponding to the relevant operator are obtained. Based on these properties, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence and uniqueness results of positive solution are established.
Databáze: Directory of Open Access Journals
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