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An Improved Unbounded-DP Algorithm for the Unbounded Knapsack Problem with Bounded Coefficients

open access: yesMathematics
Benchmark instances for the unbounded knapsack problem are typically generated according to specific criteria within a given constant range R, and these instances can be referred to as the unbounded knapsack problem with bounded coefficients (UKPB).
Yang Yang
doaj   +5 more sources

Absolute stability of large-scale time-delay Lurie indirect control systems with unbounded coefficients

open access: yesAdvances in Difference Equations, 2017
We study the absolute stability of large-scale time-delay Lurie indirect control systems with unbounded coefficients. Based on Lyapunov-Krasovskii functional approach, we derive some novel absolute stability conditions for this class of Lurie systems ...
Xiao Yu, Fucheng Liao
doaj   +2 more sources

Nondivergence elliptic equations with unbounded coefficients

open access: yesDiscrete and Continuous Dynamical Systems - Series B, 2009
We study the nonvariational equation $ \sum_{i,j=1}^n a_{ij}(x)\,\frac{\partial^2 u}{\partial x_i\,\partial x_j}=f$ in domains of $r^n$. We assume that the coefficients $a_{ij}$ are in $BMO$ and the equation is elliptic, but not uniformly, and consider $f$ in $L^2(r^n)$, or even in the Zygmund class $L^2\log^\alpha L(r^n)$.
Gioconda Moscariello   +2 more
exaly   +3 more sources

On the construction of Feller processes with unbounded coefficients

open access: yesElectronic Communications in Probability, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Qualitative Behavior of Unbounded Solutions of Neutral Differential Equations of Third-Order

open access: yesFractal and Fractional, 2021
New oscillatory properties for the oscillation of unbounded solutions to a class of third-order neutral differential equations with several deviating arguments are established.
M. Sathish Kumar   +5 more
doaj   +1 more source

On bounded solutions of linear systems of differential equations with unbounded coefficients [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper deals with a problem of finding a bounded solution of a system of nonhomogeneous linear differential equations with an unbounded matrix of coefficients on a finite interval.
R.Ye. Uteshova, Ye.V. Kokotova
doaj   +3 more sources

Correctness conditions for high-order differential equations with unbounded coefficients

open access: yesBoundary Value Problems, 2021
We give some sufficient conditions for the existence and uniqueness of the solution of a higher-order linear differential equation with unbounded coefficients in the Hilbert space.
Kordan N. Ospanov
doaj   +1 more source

On weighted integrability of the sum of series with monotone coefficients with respect to multiplicative systems [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we consider the questions about the weighted integrability of the sum of series with respect to multiplicative systems with monotone coefficients.
M.Zh. Turgumbaev   +2 more
doaj   +2 more sources

ADITU: A mesh-free formulation for the solution of Helmholtz equation in bounded and unbounded domains

open access: yesSoftwareX, 2022
This work describes a mesh-free collocation formulation for the acoustic fluid–fluid coupling among non-homogeneous bounded and unbounded fluid domains.
Gorka Garate   +2 more
doaj   +1 more source

Uniqueness results for elliptic problems with singular data

open access: yesBoundary Value Problems, 2006
We obtain some uniqueness results for the Dirichlet problem for second-order elliptic equations in an unbounded open set Ω without the cone property, and with data depending on appropriate weight functions.
Loredana Caso
doaj   +2 more sources

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