1,720,986 research outputs found

    Sulla condizione Fixf=Fixf_2 per una applicazione f di un insieme totalmente ordinato in sé

    No full text
    Si studia, in rapporto a questioni di convergenza globale del metodo delle approssimazioni successive ed alla questione dell'esistenza di un punto fisso comune a due applicazioni, la condizione Fix f=Fix f2_{2}; si forniscono, tra l'altro, condizioni equivalenti ad essa e si ritrova, generalizzata, una nota proposizione relativa ai sistemi dinamici discreti.The condition Fix f=Fix f_{2} ; is studied in relation to questions on global convergence of the successive approximations method, and to the question of the existence of a common fixed point for two applications. Other equivalent conditions for the same are proposed by the author. Using the notion of global convergence of the successive approximations method, the author is able to generalize a known proposition relative to discrete dynamical systems

    Symmetrization results for classes of nonlinear elliptic equations with qq-growth in the gradient

    No full text
    In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form A(u)= H(x, u,Du)+g(x, u), where the principal term is a Leray–Lions operator defined onW1,p^0 (). Comparison results are obtained between the rearrangement of a solution u of Dirichlet problem quoted above and the rearrangement of the solution of a problem whose data are radially symmetric

    Global convergence and non existence of periodic points of period 4

    No full text
    It is given a non trivial example of nonempty subset I of C0([0,1]2) such that: whatever F ∊ I be, for the pair ([0,1]2,F)&nbsp; the successive approximations method converges globally (i.e. For each P ∊ [0,1]2 the sequence (Fn(P))n∊ N converges to a fixed point of F if and only if F has no periodic point of period 4.</p
    corecore