Eigenvalue Intervals for Iterative Systems of Nonlinear Three-point Boundary value problems on Time Scales

Kapula Rajendra Prasad; Sreedhar N; M A S Srinivas

Kapula Rajendra Prasad Professor
Sreedhar N Dept., of Mathematics, GITAM University,Visakhapatnam
M A S Srinivas Department of Mathematics, JNTU, Hyderabad 500085

Abstract

We determine the eigenvalue intervals of the parametersÂ for which there exist positive solutions of the iterative system of three-point boundary value problems on time scales. The method involvesÂ application of Guo-Krasnosel'skii xed point theorem for operators onÂ a cone in a Banach space.

Author Biographies

Kapula Rajendra Prasad, Professor

Professor, Applied Mathematics Department, Andhra University, Visakhapatnam

Sreedhar N, Dept., of Mathematics, GITAM University,Visakhapatnam

Assistan Professor

M A S Srinivas, Department of Mathematics, JNTU, Hyderabad 500085

Professor