Special Session 62
Topological and Variational Methods in Differential and Difference Equations
Organizer(s):
Feliz Minhos
Alberto Cabada
Introduction:
Boundary value problems (BVPs), composed by ordinary differential equations (ODES) or difference equations (DES) and some conditions on the boundary (BC), have emerged naturally from various fields of science, and they have received great attention of the international mathematical community. By the diversity of applications and the variety of problems (nonlinear, nonlocal, functional, ...) there is a wide range of methods and techniques available. The aim of this Special Session is to present and discuss new trends in related fields such as variational methods (critical point theory, linking theorems, ...), and topological methods (fixed points theorems, lower and upper solutions, topological degree, ...) applied to ODES, DES, time-scales,... The expected results may also cover various forms of qualitative data of solutions, existence, uniqueness, multiplicity,..., in a theoretical or applied point of view.

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