Multiplicity results for perturbed fourth-order Kirchhoff-type problems

Multiplicity Results for Perturbed Fourth-order Kirchhoff-type Problems

Numerical method for singularly perturbed fourth order ordinary differential equations of convection-diffusion type

In this paper, we have proposed a numerical method for singularly perturbed  fourth order ordinary differential equations of convection-diffusion type. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and  finite difference method. In order to get a numerical solution for the derivative of the solution, the given interval is divided  in...

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

Copyright q 2010 Bitao Cheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems −a b Ω |∇u| 2 Δu f x, u, in Ω; u 0, on ∂Ω. Existe...

Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order m-Point Boundary Value Problems

Yansheng Liu1 and Donal O’Regan2 1 Department of Mathematics, Shandong Normal University, Jinan 250014, China 2 Department of Mathematics, National University of Ireland, Galway, Ireland Correspondence should be addressed to Yansheng Liu, [email protected] Received 13 March 2009; Accepted 12 April 2009 Recommended by Juan J. Nieto By using bifurcation techniques, this paper investigates the ex...

numerical method for singularly perturbed fourth order ordinary differential equations of convection-diffusion type

in this paper, we have proposed a numerical method for singularly perturbed  fourth order ordinary differential equations of convection-diffusion type. the numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and  finite difference method. in order to get a numerical solution for the derivative of the solution, the given interval is divided  in...