The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method

✍ Scribed by Peter Somora

• Book ID: 111492882
• Publisher: SP Versita
• Year: 2007
• Tongue: English
• Weight: 234 KB
• Volume: 57
• Category: Article
• ISSN: 0139-9918
• DOI: 10.2478/s12175-007-0005-8

✦ Synopsis

We consider a second order nonlinear differential equation with homogeneous Dirichlet boundary conditions. Using the root functions method we prove a relation between the number of zeros of some variational solutions and the number of solutions of our boundary value problem which follows into a lower bound of the number of its solutions.