We consider conic inequality systems of the type F (x) ≥K 0, with approximate solution x0 associated to a parameter τ , where F is a twice Fréchet differentiable function between Hilbert spaces X and Y , and ≥K is the partial order in Y defined by a nonempty convex (not necessarily closed) cone K ⊆ Y . We prove that, under the suitable conditions, the system F (x) ≥K 0 is solvable, and the rati...

Singular initial value problems are investigated. We extend a decomposition method for di¤erent type Emden-Fowler-like equations. Some special cases of the equation are solved as examples, to illustrate the reliableness of the method. The solutions are constructed in the form of a convergent series.

In this paper, we address multi-objective space mission design problems. From a practical point of view, it is often the case that, during the preliminary phase of the design of a space mission, the solutions that are actually considered are not ’optimal’ (in the Pareto sense) but belong to the basin of attraction of optimal ones (i.e. they are nearly optimal). This choice is motivated either b...

An approximation technique for nite state Markov chains is proposed. The solutions are in product form and can be calculated iteratively. This iteration is equivalent to disaggregating macro probabilities, multiplying with transition probabilities, and aggregating the obtained state probabilities { we call it DA iteration. Large Markov chains with many states can be solved, so large that the st...