Complementary Lidstone Interpolation and Boundary Value Problems

Positive Solutions of Complementary Lidstone Boundary Value Problems

Positive Solutions of Complementary Lidstone Boundary Value Problems Ravi P. Agarwal and Patricia J. Y. Wong Department of Mathematics, Texas A&M University – Kingsville, Kingsville, TX 78363, USA. e-mail: [email protected]; Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589 Jeddah, Saudi Arabia. School of Electrical and Electronic Engineering, Nanyang Technological...

Positive Solutions of Singular Complementary Lidstone Boundary Value Problems

Eigenvalues of complementary Lidstone boundary value problems

where l > 0. The values of l are characterized so that the boundary value problem has a positive solution. Moreover, we derive explicit intervals of l such that for any l in the interval, the existence of a positive solution of the boundary value problem is guaranteed. Some examples are also included to illustrate the results obtained. Note that the nonlinear term F depends on y’ and this deriv...

Dynamic Systems and Applications 19 (2010) 113-124 LIDSTONE BOUNDARY VALUE PROBLEMS WITH SIGN-CHANGING NONLINEAR TERMS AND HIGHER ORDER DERIVATIVES

By employing topological degree theory, this paper investigates the existence of at least one nontrivial solutions for Lidstone boundary value problems with sign-changing nonlinear term and higher order derivatives. Meanwhile, one example is worked out to demonstrate the main result.

A discrete fourth-order Lidstone problem with parameters

Keywords: Difference equations Boundary value problems Symmetric Green's function Fixed points Fourth-order Discrete Beam Lidstone Semipositone a b s t r a c t Various existence, multiplicity, and nonexistence results for nontrivial solutions to a non-linear discrete fourth-order Lidstone boundary value problem with dependence on two parameters are given, using a symmetric Green's function appr...