Existence theorems for second order multi-point boundary value problems

• Published in: Electronic journal of qualitative theory of differential equations Vol. 2010; no. 41; pp. 1 - 12
• Main Author: Wong, James S. W.
• Format: Journal Article
• Language: English
• Published: University of Szeged 01.01.2010

We are interested in the existence of nontrivial solutions for the second order nonlinear differential equation (E): $y'' (t) = f\big(t, y (t)\big) = 0, 0 < t < 1$ subject to multi-point boundary conditions at $t=1$ and either Dirichlet or Neumann conditions at $t=0$. Assume that $f(...