Employing a three critical points theorem, we prove the existence of multiple solutions for a class of Neumann two-point boundary value Sturm-Liouville type equations. Using a local minimum theorem for differentiable functionals the existence of at least one non-trivial solution is also ensured.
Heidarkhani, S. (2013). On a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations. Bulletin of the Iranian Mathematical Society, 39(5), 821-840.
MLA
S. Heidarkhani. "On a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations". Bulletin of the Iranian Mathematical Society, 39, 5, 2013, 821-840.
HARVARD
Heidarkhani, S. (2013). 'On a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations', Bulletin of the Iranian Mathematical Society, 39(5), pp. 821-840.
VANCOUVER
Heidarkhani, S. On a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations. Bulletin of the Iranian Mathematical Society, 2013; 39(5): 821-840.