1,720,986 research outputs found
Sulla condizione Fixf=Fixf_2 per una applicazione f di un insieme totalmente ordinato in sé
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
f; 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
Sull'esistenza di punti periodici di una applicazione di un insieme totalmente ordinato in sé
Symmetrization results for classes of nonlinear elliptic equations with -growth in the gradient
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
Questioni relative alle equazioni funzionali del tipo A(x)-A(\tau(x))=\varphi(x) e problema di Goursat per l'equazione u_{xy}=0
Continuous functions from an arcwise connected tree into itself: periodic points, global convergence, plus-global convergence
Convergenza globale del metodo delle approssimazioni successive in un insieme totalmente ordinato
On functional equations of the form A(x)-A(\tau(x))=\varphi(x) and Goursat problem for the equation z_{xy} = f(x,y)
Global convergence and non existence of periodic points of period 4
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) 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
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