Geodesic
POSITIVE SOLUTIONS OF FOURTH-ORDER BOUNDARY VALUE PROBLEM WITH VARIABLE PARAMETERS
DONG , XIN 1 ; BAI, ZHANBING1
1 College of Information Science and Engineering,Shandong University of Science and Technology, Qing Dao, 266510, P. R. China.
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 1, p. 21-30.

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

By means of calculation of the fixed point index in cone we consider the existence of one or two positive solutions for the fourth-order boundary value problem with variable parameters
$ \begin{cases} u^{(4)}(t) + B(t)u''(t) - A(t)u(t) = f(t, u(t), u''(t)),\,\,\,\,\, 0 t 1,\\ u(0) = u(1) = u''(0) = u''(1) = 0, \end{cases} $
where $A(t),B(t) \in C[0, 1]$ and $f(t, u, v) : [0, 1]\times [0,\infty)\times R \rightarrow [0,\infty)$ is continuous.
DOI : 10.22436/jnsa.001.01.04
Classification : 34B15, 34B18
Keywords: Boundary value problem, positive solution, fixed point, cone.

DONG , XIN  1 ; BAI, ZHANBING 1

1 College of Information Science and Engineering,Shandong University of Science and Technology, Qing Dao, 266510, P. R. China. 
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DONG , XIN ; BAI, ZHANBING. POSITIVE SOLUTIONS OF FOURTH-ORDER BOUNDARY VALUE PROBLEM WITH VARIABLE PARAMETERS. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 1, p. 21-30. doi : 10.22436/jnsa.001.01.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.01.04/

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