POSITIVE SOLUTIONS OF FOURTH-ORDER BOUNDARY VALUE PROBLEM WITH VARIABLE PARAMETERS


Authors

XIN DONG - College of Information Science and Engineering,Shandong University of Science and Technology, Qing Dao, 266510, P. R. China.. ZHANBING BAI - College of Information Science and Engineering,Shandong University of Science and Technology, Qing Dao, 266510, P. R. China..


Abstract

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.


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ISRP Style

XIN DONG, ZHANBING BAI, POSITIVE SOLUTIONS OF FOURTH-ORDER BOUNDARY VALUE PROBLEM WITH VARIABLE PARAMETERS, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 1, 21-30

AMA Style

DONG XIN, BAI ZHANBING, POSITIVE SOLUTIONS OF FOURTH-ORDER BOUNDARY VALUE PROBLEM WITH VARIABLE PARAMETERS. J. Nonlinear Sci. Appl. (2008); 1(1):21-30

Chicago/Turabian Style

DONG , XIN, BAI, ZHANBING. "POSITIVE SOLUTIONS OF FOURTH-ORDER BOUNDARY VALUE PROBLEM WITH VARIABLE PARAMETERS." Journal of Nonlinear Sciences and Applications, 1, no. 1 (2008): 21-30


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