Multiple positive solutions of a boundary value problem for ordinary differential equations

J. R. Graef, The University of Tennessee at Chattanooga
Chuanxi Qian, Mississippi State University, Mississippi, U.S.A.
Bo Yang, Kennesaw State University, Kennesaw, U.S.A.

E. J. Qualitative Theory of Diff. Equ., Proc. 7'th Coll. Qualitative Theory of Diff. Equ., No. 11. (2004), pp. 1-13.

Communicated by L. Hatvani. Received on 2003-08-13
Appeared on 2004-08-31

Abstract: The authors consider the three point boundary value problem consisting of the nonlinear differential equation
$$ u''''(t) = g(t)f(u), \quad 0<t<1, \eqno{(E)} $$
and the boundary conditions
$$ u(0) = u'(1) = u''(1) = u''(0)-u''(p) = 0. \eqno{(B)} $$
Sufficient conditions for the existence of multiple positive solutions to the problem (E)--(B) are given.

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