Positive solutions of some singular m-point boundary value problems at non-resonance

Autor:	Zhongli Wei, Changci Pang
Rok vydání:	2005
Předmět:	Computational Mathematics Nonlinear system Partial differential equation Maximum principle Singular solution Applied Mathematics Numerical analysis Mathematical analysis Boundary value problem Singular point of a curve Value (mathematics) Mathematics
Zdroj:	Applied Mathematics and Computation. 171:433-449
ISSN:	0096-3003
DOI:	10.1016/j.amc.2005.01.043
Popis:	This paper investigates the existence of positive solutions for second-order singular m-point boundary value problems at non-resonance. A necessary and sufficient condition for the existence of C[0,1] as well as C^1[0,1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f(t,x) may be singular at x,t=0 and/or t=1.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4f0b2f4257a27a4b214a5843d7c45614 https://doi.org/10.1016/j.amc.2005.01.043 Zobrazit plný text záznamu Full Text from ScienceDirect