Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 57, pp. 1-12.

Title: Solvability of a nonlinear third-order
       three-point general eigenvalue problem on time scales

Authors: Kapula. R. Prasad  (Andhra Univ., Visakhapatnam, India
         Nadakuduti V. V. S. S. Narayana (VITAM College of Engineering, India)

Abstract:
 We study the existence of eigenvalue intervals for the third-order
 nonlinear three-point boundary value problem on time scales
 satisfying general boundary conditions. Values of a parameter
 are determined for which the boundary value problem has a
 positive solution by utilizing a fixed point theorem on a cone in a
 Banach space.

Submitted November 30, 2009. Published April 23, 2010.
Math Subject Classifications: 34B99, 39A99.
Key Words: Time scales; boundary value problem;
           eigenvalue interval; positive solution; cone.