In this article, we study the asymptotic behavior of strongly decreasing solutions of the first-order nonlinear functional differential equation $$ x'(t)+p(t)| x(g(t))| ^{\alpha -1}x(g(t))=0, $$ where $\alpha $ is a positive constant such that ...
George E. Chatzarakis +2 more
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Continuous Order-Preserving Functions for All Kind of Preorders
A topology is said to be strongly useful if every weakly continuous preorder admits a continuous order-preserving function. A strongly useful topology is useful, in the sense that every continuous total preorder admits a continuous utility representation.
Gianni Bosi, Bosi Gianni
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Tensor methods for strongly convex strongly concave saddle point problems and strongly monotone variational inequalities [PDF]
In this paper we propose three tensor methods for strongly-convex-strongly-concave saddle point problems (SPP). The first method is based on the assumption of higher-order smoothness (the derivative of the order higher than 2 is Lipschitz-continuous) and
Dvurechensky, Pavel +3 more
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A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling [PDF]
18.02.14 KB. Ok to add accepted version to spiral, Elsevier says ok while mandate not enforced.We introduce a mixed discontinuous/continuous finite element pair for ocean modelling, with continuous quadratic layer thickness and discontinuous velocity. We
Cotter, CJ +5 more
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Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay [PDF]
In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces.
M. Mallika Arjunan, N. Y. Nadaf
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The Optimal Transportation Meshfree Method for General Fluid Flows and Strongly Coupled Fluid-Structure Interaction Problems [PDF]
This thesis develops a novel meshfree numerical method for simulating general fluid flows. Drawing from concepts in optimal mass transport theory and in combination with the notion of material point sampling and meshfree interpolation, the optimal ...
Habbal, Feras
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Continuous Production of Biodiesel with Supercritical Methanol: a Simple Compressible Flow Model for Tubular Reactors [PDF]
From an industrial point of view, the continuous process for biodiesel production with supercritical methanol (SCM) is more appropriate than the batch process.
Sawangkeaw, Ruengwit +11 more
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This paper considers the approximate controllability of semilinear fractional evolution equations of order α∈ (1, 2] with finite delay. Using the contraction mapping principle, we explore the existence and uniqueness of the mild solution.
Ma Saisai, Kou Chunhai, Ge Fudong
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Strongly order continuous operators on Riesz spaces
In this paper we introduce two new classes of operators that we call strongly order continuous and strongly $σ$-order continuous operators. An operator $T:E\rightarrow F$ between two Riesz spaces is said to be strongly order continuous (resp. strongly $σ$-order continuous), if $x _α\xrightarrow{uo}0$ (resp.
Bahramnezhad, Akbar +1 more
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Mean exit times and the multilevel Monte Carlo method [PDF]
Numerical methods for stochastic differential equations are relatively inefficient when used to approximate mean exit times. In particular, although the basic Euler–Maruyama method has weak order equal to one for approximating the expected value of the ...
Roj, Mikolaj +4 more
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