Kapula. R. Prasad, Nadakuduti V. V. S. S. Narayana
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.
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Kapula R. Prasad Department of Applied Mathematics, Andhra University Visakhapatnam, 530 003, India email: rajendra92@rediffmail.com | |
Nadakuduti V. V. S. Suryanarayana Department of Mathematics, VITAM College of Engineering Visakhapatnam, 531 173, India email: suryanarayana_nvvs@yahoo.com |
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