An idea used by Thieme (J. Math. Biol. 8, 173-187, 1979) is extended to show that a class of integro-difference models for a periodically varying habitat has a spreading speed and a formula for it, even when the recruitment function R(u, x) is not nondecreasing in u, so that overcompensation occurs. Numerical simulations illustrate the behavior of solutions of the recursion whose initial values...

Abstract. We study the existence of spatial periodic solutions for nonlinear elliptic equations −∆u + g(x, u(x)) = 0, x ∈ R where g is a continuous function, nondecreasing w.r.t. u. We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions g are investigated as well. As an application we analyze the mathematical model of electro...

In this paper we provide two axiomatizations of the class of idempotent discrete uninorms as conservative binary operations, where an operation is conservative if it always outputs one of its input values. More precisely we first show that the idempotent discrete uninorms are exactly those operations that are conservative, symmetric, and nondecreasing in each variable. Then we show that, in thi...

AKreı̆n string is (essentially) a pairS[L ,m]where 0 < L ≤ ∞ andm : [0, L) → [0,∞) is nondecreasing. Each string gives rise to an operator model, the Kreı̆n-Feller differential operator−DmDx acting in the space L2(dm). This operator has a selfadjoint realization which is nonnegative. Provided that L + limx→L m(x) < ∞, this realization has discrete spectrum and, when (λn) denotes the sequence of p...

Let G be a reflexive subspace of the Banach space E and let L(I, E) denote the space of all p-Bochner integrable functions on the interval I=[0, 1] with values in E, 1 [ pO.. Given any norm N(· , · ) on R, N nondecreasing in each coordinate on the set R +, we prove that L (I, G) is N-simultaneously proximinal in L(I, E). Other results are also obtained. © 2002 Elsevier Science (USA)

This paper defines a class of cooperative fuzzy games with infinite players, which is monotonically nondecreasing and continuous with respect to each player’s grade of membership. Then, the AumannShapley values for the games with fuzzy coalitions are proposed with the form of Choquet integral. The properties of the Aumann-Shapley values are also shown. Finally, the relationship between the fuzz...

Let $A$ be an associative algebra endowed with automorphism or antiautomorphism $\varphi$ of order $\leq 2.$ One associates to $A,$ in a natural way, numerical sequence $c^\varphi_n(A),$ $n=1, 2, \ldots$, called the $\varphi$-codimensions which is main tool for quantitative investigation polynomial identities satisfied by $A$. In \cite{GLM} it was proved that such eventually nondecreasing case ...

nh(n) < ∞, where h is from a suitable subclass of the positive, nondecreasing slowly varying functions. Specializing our result to h(n) = (log logn), where p > 1 and to h(n) = (logn), r > 0, we obtain analogues of the Hartman–Wintner LIL in the infinite variance case. Our proof is based on a general result dealing with LIL behavior of the normalized sums {Sn/cn;n ≥ 1}, where cn is a sufficientl...