On the solutions of nonlinear third order boundary value problems

Abstract

The author considers a three‐point third order boundary value problem. Properties and the structure of solutions of the third order equation are discussed. Also, a connection between the number of solutions of the boundary value problem and the structure of solutions of the equation is established.

Keywords:

• nonlinear boundary value problems
• structure of solutions
• multiplicity of solutions
• branches of initial values

Notes

ESF projekts “Atbalsts Daugavpils Universitātes doktora studiju istenošanai” Vienošanās Nr. 2009/0140/1DP/1.1.2.1.2/09/IPIA/VIAA/015