An existence result for polynomial solutions of parameter-dependent LMIs

An Existence Result for Periodic Solutions via Miranda’s Theorem

In this paper one proves an existence theorem for the bilocal boundary value problem ẋ = f (t, x) , x (0) = x (T ) , by using a known theorem of Miranda, theorem which gives rise suficient conditions for an operator F defined in a finite dimensional space to admit al least one zero. Mathematics Subject Classifications AMS (2000): 24B16, 34C25.

Polynomial-time algorithms for probabilistic solutions of parameter-dependent linear matrix inequalities

An existence result for discontinuous games

We introduce a notion of upper semicontinuity, weak upper semicontinuity, and show that it, together with a weak form of payoff security, is enough to guarantee the existence of Nash equilibria in compact, quasiconcave normal form games. We show that our result generalizes the pure strategy existence theorem of Dasgupta and Maskin [3] and that it is neither implied nor does it imply the existen...

An Existence Result for Superparabolic Functions

We study superparabolic functions related to nonlinear parabolic equations. They are de ned by means of a parabolic comparison principle with respect to solutions. We show that every superparabolic function satis es the equation with a positive Radon measure on the right-hand side, and conversely, for every nite positive Radon measure there exists a superparabolic function which is solution to ...

An existence result for n^{th}-order nonlinear fractional differential equations

In this paper, we investigate the existence of solutions of some three-point boundary value problems for n-th order nonlinear fractional differential equations with higher boundary conditions by using a fixed point theorem on cones.