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Titolo:
Existence of positive solutions for boundary value problem of second-orderFDE
Autore:
Weng, PX; Jiang, DQ;
Indirizzi:
S China Normal Univ, Dept Math, Guangzhou 510631, Peoples R China S China Normal Univ Guangzhou Peoples R China 510631 31, Peoples R China NE Normal Univ, Dept Math, Changchun 130024, Peoples R China NE Normal Univ Changchun Peoples R China 130024 130024, Peoples R China
Titolo Testata:
COMPUTERS & MATHEMATICS WITH APPLICATIONS
fascicolo: 10, volume: 37, anno: 1999,
pagine: 1 - 9
SICI:
0898-1221(199905)37:10<1:EOPSFB>2.0.ZU;2-J
Fonte:
ISI
Lingua:
ENG
Soggetto:
FUNCTIONAL-DIFFERENTIAL EQUATIONS; SEMILINEAR ELLIPTIC-EQUATIONS; ANNULAR DOMAINS; DELAY EQUATIONS;
Keywords:
functional differential equation; boundary value problem; positive solution; superlinear and sublinear;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
13
Recensione:
Indirizzi per estratti:
Indirizzo: Weng, PX S China Normal Univ, Dept Math, Guangzhou 510631, Peoples R ChinaS China Normal Univ Guangzhou Peoples R China 510631 es R China
Citazione:
P.X. Weng e D.Q. Jiang, "Existence of positive solutions for boundary value problem of second-orderFDE", COMPUT MATH, 37(10), 1999, pp. 1-9

Abstract

We use a fixed-point theorem in cones to investigate the existence of positive solutions for boundary value problem of a second-order Functional Differential Equation (FDE) with the form:y"(t) + r(t)f (y(t)) = 0, 0 < t < 1,alpha y(t) - beta y' (t) = xi(t), -tau less than or equal to t less than or equal to 0,gamma y(t) + delta y'(t) = eta y'(t), 1 less than or equal to 1 less than or equal to 1 + a,where y(t)(theta) = y(t + theta) for theta is an element of [-tau, a]. We allow that r(t) has the singularity at the endpoints t = 0 and t = 1 of [0,1]. Our results include the situations that f is either superlinear or sublinear. (C) 1999 Elsevier Science Ltd. All rights reserved.

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Documento generato il 10/07/20 alle ore 08:10:03