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2016-11-29 Nonlinear Seminar

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< Marcin Borkowski
< **On some measures of efficiency of financial projects**
< A classic – and the most well-known – measure of efficiency of financial
< projects is the net present value (NPV). However, it has certain issues
< connected with choosing the “right” discount rate. In
the paper by
< Teichroew et al. (1965) it was shown how to compute net future value
< using two rates: one for financing and one for reinvesting. The authors
< mention how to use their method
to compute an analogue of the NPV.
< Unfortunately, their method is wrong. The first part of the talk will
< be devoted to showing their error and comparing their method to
< a correct one due to A
. Kulakova (2010). Then, we will prove a number
< of properties of the generalized net present value defined by the latter
< author
.

to

> dr Jacek Gulgowski
> **On functions of bounded $$q$$-integral $$p$$-variation**
> During the seminar we are going to discuss functions of bounded $$q$$-integral $$p$$-variation. In particular, we are going to present some of their basic properties. We are also going to discuss the relationship of the space of such functions with Sobolev spaces. Finally, we are going to show some results on superposition operator and nonlinear integral operator acting in the space of functions of bounded $$q$$-integral $$p$$-variation.


dr Jacek Gulgowski
On functions of bounded $$ q $$-integral $$ p $$-variation

During the seminar we are going to discuss functions of bounded $$ q $$-integral $$ p $$-variation. In particular, we are going to present some of their basic properties. We are also going to discuss the relationship of the space of such functions with Sobolev spaces. Finally, we are going to show some results on superposition operator and nonlinear integral operator acting in the space of functions of bounded $$ q $$-integral $$ p $$-variation.