MULTIPLE POSITIVE SOLUTIONS OF RESONANT AND NON-RESONANT NON-LOCAL FOURTH-ORDER BOUNDARY VALUE PROBLEMS

Autor:	M. Zima, J. R. L. Webb
Rok vydání:	2011
Předmět:	Fourth order General Mathematics Mathematical analysis Boundary value problem Non local Mathematics
Zdroj:	Glasgow Mathematical Journal. 54:225-240
ISSN:	1469-509X 0017-0895
DOI:	10.1017/s0017089511000590
Popis:	We study the existence of positive solutions for equations of the form where 0 < ω < π, subject to various non-local boundary conditions defined in terms of the Riemann–Stieltjes integrals. We prove the existence and multiplicity of positive solutions for these boundary value problems in both resonant and non-resonant cases. We discuss the resonant case by making a shift and considering an equivalent non-resonant problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8413bacbade5d83057f9c39770c97157 https://doi.org/10.1017/s0017089511000590 Zobrazit plný text záznamu