1 - 10 of 19 articles
By the interpolation inequality and a priori estimates in the weighted space, the existence of global solutions for generalized Ginzburg-Landau equation coupled with BBM equation in an unbounded domain is considered, and the existence of the maximal attractor is obtained.
In this paper, we propose a general path following method, in which the starting point can be any feasible interior pair and each iteration uses a step with the largest possible reduction in duality gap. The algorithm maintains the
$$O (\sqrt n L)$$
ineration complexity. It enjoys quadratic...
A matrix splitting method is presented for minimizing a quadratic programming (QP) problem, and a genetal algorithm is designed to solve the QP problem and generates a sequence of iterative points. We prove that the sequence generated by the algorithm converges to the optimal solution and has...
In this paper, we study the stochastic comparisons of minimal repair replacement policies in repairable case. We give some results on comparisons of the same unit for different policies and on comparisons of the same policies for different units.
In this paper, we consider the completion time of a job processed on an unreliable machine. Assume that the lifetime and the repair time of the machine and the service time of the job have general distributions. We obtain the Laplace-Stieltjes transforms and the expectations of the distributions...
The asymptotic behavior of the nonoscillatory solutions of the difference equations
$$\Delta [r(n)\Delta x(n)] + f(n,x(n),x(\tau (n.x(n)))) = 0$$
is considered. In the case when f is a strongly sublinear (superlinear) function, conditions for oscillations of (1) are also found.
Ak-outpath of an arcxy in a multipartite tournament is a directed path with lengthk starting fromxy such thatx does not dominate the end vertex of the directed path. This concept is a generalization of a directed cycle. We show that ifT is an almost regularn-partite (n≥8) tournament with each...
In this note we prove a large deviation result for a perturbed discontinuous inhomogeneous system which complements.
In this paper, we study a nonlinear Dirichlet problem on a smooth bounded domain, in which the nonlinear term is asymptotically linear, not superlinear, at infinity and sublinear near the origin. By using Mountain Pass Theorem, we prove that there exist at least two positive solutions under...
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