Existence of traveling wave solutions for some lattice differential equations is investigated. We prove that there exists c 0 ∗ > such that for each c c∗ ≥ , the systems under consideration admit monotonic nondecreasing traveling waves.

For a nondecreasing score function having finitely many jump-discontinuities. a representation of M-estimators with the second order asymptotic distribution is established. and the result is also extended to one-step versions of M-estimators.

We give a Bennett-type factorization of the space ces(pn) for monotone nonincreasing sequence {pn}. If the sequence {pn} is nondecreasing and bounded then certain converse assertion is proved.

let $omega_x$ be a bounded, circular and strictly convex domain of a banach space $x$ and $mathcal{h}(omega_x)$ denote the space of all holomorphic functions defined on $omega_x$. the growth space $mathcal{a}^omega(omega_x)$ is the space of all $finmathcal{h}(omega_x)$ for which $$|f(x)|leqslant c omega(r_{omega_x}(x)),quad xin omega_x,$$ for some constant $c>0$, whenever $r_{omega_x}$ is the m...

We consider the two-bar charts packing problem which is a generalization of strongly NP-hard bin and 2-D vector problem. propose an O(n2.5)-time 16/11-approximation algorithm for when at least one bar each chart has height more than 1/2 5/4-approximation nonincreasing or nondecreasing higher 1/2.

The minimax identity for a nondecreasing upper-semicontinuous utility function satisfying mild growth assumption is studied. In contrast to the classical setting, concavity of not asumed. By considering concave envelope function, equalities and inequalities between robust functionals an initial its concavification are obtained. Furthermore, similar proved in case implementing upper bound on fin...

i=1 pi(t)Φβi (x(τi(t))) = e(t), t ∈ [t0,∞)T where T is a time scale, t0 ∈ T a fixed number; [t0,∞)T is a time scale interval; Φ∗(u) = |u|∗−1u; the functions r, pi, e : [t0,∞)T → R are right-dense continuous with r > 0 nondecreasing; τk : T → T are nondecreasing right-dense continuous with τk(t) ≤ t , limt→∞ τk(t) = ∞; and the exponents satisfy β1 > · · · > βm > α > βm+1 > · · ·βn > 0. All resul...

Let A be an adjacency matrix of a tree T with n vertices. Conditions are determined for the existence of a fixed permutation matrix P that maximizes the quadratic form xtP tAPx over all nonnegative vectors x with entries arranged in nondecreasing order. This quadratic form problem is completely solved, and its answer leads to a corresponding solution for the problem of determining conditions fo...

We consider the nonlinear degenerate elliptic-parabolic-hyperbolic equation ∂tg(u)−∆b(u)− div Φ(u) = f(g(u)) in (0, T )× Ω, where g and b are nondecreasing continuous functions, Φ is vectorial and continuous, and f is Lipschitz continuous. We prove the existence, comparison and uniqueness of entropy solutions for the associated initial-boundary-value problem where Ω is a bounded domain in RN . ...

A new and simpler proof is given of the result of P. Rabinowitz for nontrivial time periodic solutions of a vibrating string equation utt-ux, + g(u) = 0 and Dirichlet boundary conditions on a finite interval. We assume essentially that g is nondecreasing, and g(u)/u+m as Iu(+w. The proof uses a modified form (PS), of the Palais-Smale condition (PS). Let g : R-+R be a continuous nondecreasing fu...