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Notice that, by the usual stability theorems, this implies that ˆ Tε has three fixed points as well, one elliptic and two hyperbolic, moreover the two hyperbolic fixed points
Up to isomorphism, a subobject of a constant simplicial presheaf must be constant, so that the bounded cofibration condition E7 for simplicial presheaves implies a bounded
We will consider prescribed smooth H and giving conditions on the boundary data g, we will prove the existence of a solution to (1) by fixed point theorems.. The main result is
It is interesting that starting from this inclusion one can not only find spectral conditions for almost periodicity for a bounded uniformly continuous solution of Eq.(1) but
Next, we use Schauder’s fixed point theorem to show that Eq.(1) has an asymptoti- cally T -periodic solution, thus yielding a T -periodic solution of Eq.(2).. We also infer
The figures suggest that between the last two parameter values a Neimark-Sacker bifurcation takes place, as we can see a stable closed curve arising from the stable fixed point..
Key words and phrases: Boundary value problem, lower and upper solutions, ordi- nary differential equation, higher order, positive solution, perturbation methods, fixed point..
In this paper we investigate the existence of the periodic solutions of a quasilinear differential equation with piecewise constant argument of generalized type.. By using some
