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Modelling age replacement policy under multiple time scales and stochastic usage profiles
(Elsevier, 2017)
This paper offers an original methodology to set multi-dimensional maintenance policies for machines whose aging processes require using multiple time scales. It can be considered a generalization of the traditional approach, ...
Fenichel theory for multiple time scale singular perturbation problems
(2017-01-01)
This paper is concerned with a geometric study of singularly perturbed systems of ordinary differential equations expressed by (n-1)-parameter families of smooth vector fields on ℝl, where n ≥ 2. The inherent characteristic ...
Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator
(AGH University of Science and Technology, 2020-06)
We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a ϕ-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray–Schauder ...
Evolution of multiple quantum coherences with scaled dipolar Hamiltonian
(Academic Press Inc Elsevier Science, 2017-08)
In this article, we introduce a pulse sequence which allows the monitoring of multiple quantum coherences distribution of correlated spin states developed with scaled dipolar Hamiltonian. The pulse sequence is a modification ...
A geometric singular perturbation theory approach to constrained differential equations
(2019-04-01)
This paper is concerned with a geometric study of (n−1)-parameter families of constrained differential systems, where n≥ 2. Our main results say that the dynamics of such a family close to the impasse set is equivalent ...
A scaling limit for the cover time of the binary tree
(Academic Press Inc., 2021)
© 2021 Elsevier Inc.We consider a continuous time random walk on the rooted binary tree of depth n with all transition rates equal to one and study its cover time, namely the time until all vertices of the tree have been ...