Autor:	Blancarte, Herminio, Campos, Hugo M., Khmelnytskaya, Kira V.
Rok vydání:	2014
Předmět:	Mathematical Physics Mathematics - Classical Analysis and ODEs 34B24 34L16
Druh dokumentu:	Working Paper
DOI:	10.1002/mma.3282
Popis:	Let (a,b) be a finite interval and 1/p, q, r be functions from L1(a,b). We show that a general solution (in the weak sense) of the equation (pu')'+qu = zru on (a,b) can be constructed in terms of power series of the spectral parameter z. The series converge uniformly on [a,b] and the corresponding coefficients are constructed by means of a simple recursive procedure. We use this representation to solve different types of eigenvalue problems. Several numerical tests are discussed.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1405.5632 Zobrazit plný text záznamu View this record from Arxiv