Problems of multiplicity

High Multiplicity Scheduling Problems

These four years proved to be a very interesting and enjoyable period of my life. I was introduced to the international research community and visited many scientific events in different parts of the world. First of all, I want to heartily thank my supervisors, Antoon Kolen, Yves Crama, and Joris van de Klundert, for haven given me the opportunity to join the scientific world and academic commu...

Multiplicity of solutions for critical singular problems

[1] R. B. Assunção, P. C. Carrião, O. H. Miyagaki, Multiplicity of solutions for critical singular problems, Applied Mathematics Letters 19 (2006) 741–746. [2] R. B. Assunção, P. C. Carrião, O. H. Miyagaki, Critical singular problems via concentration-compactness lemma, J. Math. Anal. Appl. 326 (2007), 137–154. [3] J. Chen, S. Li, On multiple solutions of a singular quasilinear equation on unbo...

Comment on the multiple problems of multiplicity.

Multiplicity and uniqueness in dynamic decision problems

Dynamic decision-making without commitment is usually modelled as a game between the current and future selves of the decision-maker. It has been observed that if the time-horizon is infinite, then such games may have multiple subgame-perfect equilibrium solutions. We show that such multiplicity arises in an open set of stochastic dynamic programming problems with minimal non-trivial stateand a...

The Multiplicity of Solutions in Non-homogeneous Boundary Value Problems the Multiplicity of Solutions in Non-homogeneous Boundary Value Problems

We use a method recently devised by Bolle B] to establish the existence of an innnite number of solutions for various non-homogeneous boundary value problems. In particular, we consider second order systems, Hamiltonian systems as well as semi-linear partial diierential equations. The non-homogeneity can originate in the equation but also from the boundary conditions. The results are much more ...