Geodesic
MULTIPLE POSITIVE SOLUTIONS FOR NONLINEAR SINGULAR THIRD-ORDER BOUNDARY VALUE PROBLEM IN ABSTRACT SPACES
ZHANG, FANG1
1 School of Mathematics and Physics, Jiangsu Polytechnic University, Changzhou, 213164, PR China.
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 1, p. 36-44.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we study the nonlinear singular boundary value problem in abstract spaces:
$ \begin{cases} u''' + f(t, u) = \theta,\,\,\,\,\, t \in (0, 1),\\ u(0) = u'(0) = \theta, u'(1) = \xi u'(\eta), \end{cases} $
where $0 \eta 1$ and $1 \xi\frac{1}{\eta}, \theta$ denotes the zero element of $E, E$ is a real Banach space, and $f(t, u)$ is allowed to be singular at both end point $t = 0$ and $t = 1$. We show the existence of at least two positive solutions of this problem.
DOI : 10.22436/jnsa.001.01.06
Classification : 34G20, 34B16
Keywords: Singular boundary value problem, Abstract spaces, Positive solutions, Fixed point theorem.

ZHANG, FANG 1

1 School of Mathematics and Physics, Jiangsu Polytechnic University, Changzhou, 213164, PR China. 
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ZHANG, FANG. MULTIPLE POSITIVE SOLUTIONS FOR NONLINEAR SINGULAR THIRD-ORDER BOUNDARY VALUE PROBLEM IN ABSTRACT SPACES. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 1, p. 36-44. doi : 10.22436/jnsa.001.01.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.01.06/

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