Browsing Scientific Publications in Mathematical Sciences by Title
Now showing items 125-144 of 200
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Non-standard Problems in an Ordinary Differential Equations Course
(Journal article; Peer reviewed, 2018) -
The object-tool duality in mathematical modelling - a framework to analyze students’ appropriation of Sankey diagrams to model dynamic processes
(Peer reviewed; Journal article, 2020)Students often do not experience the relevance of learning mathematics. This paper reports on an exploratory case study, in which a class of grade 8 students (n=35) was introduced to Sankey diagrams. The aim was to explore ... -
On Daugavet indices of thickness
(Peer reviewed; Journal article, 2021)Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior of this index and also consider two new ... -
On Science Museums, Science Capital, and the Public Understanding of Mathematical Modelling
(International Perspectives on the Teaching and Learning of Mathematical Modelling; no. 6, Chapter; Peer reviewed, 2020) -
On stability of linear dynamic systems with hysteresis feedback
(Journal article; Peer reviewed, 2020)The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure’s problem) can be proved by the well-known circle criterion, the ... -
On stability of linear dynamic systems with hysteresis feedback
(Journal article; Peer reviewed, 2020)Abstract. The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure’s problem) can be proved by the well-known circle ... -
On Steady Solutions of a generalized Whitham equation
(Peer reviewed; Journal article, 2021) -
On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations
(Peer reviewed; Journal article, 2020)By using comparison principles, we analyze the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Due to less restrictive assumptions on the coefficients of the equation ... -
On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations
(Peer reviewed; Journal article, 2020)By using comparison principles, we analyze the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Due to less restrictive assumptions on the coefficients of the equation ... -
On the thermal instability in a horizontal rectangular porous channel heated from below by a constant flux
(Journal article; Peer reviewed, 2014)The onset of thermoconvective instability in a rectangular horizontal channel filled with a fluid-saturated porous medium is studied. The channel is heated from below with a constant flux. The top wall is maintained at a ... -
Online mathematics teaching and learning during the COVID-19 pandemic: The perspective of lecturers and students
(Peer reviewed; Journal article, 2021)The global spread of the novel coronavirus, Covid-19, reached Norway at the end of February 2020. MatRIC, Centre for Research, Innovation and Coordination of Mathematics Teaching conducted a national survey in Norwegian ... -
Onset of convection in a porous rectangular channel with external heat transfer to upper and lower fluid environments
(Journal article; Peer reviewed, 2012)The conditions for the onset of convection in a horizontal rectangular channel filled with a fluid saturated porous medium are studied. The vertical sidewalls are assumed to be impermeable and adiabatic. The horizontal ... -
Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation
(Peer reviewed; Journal article, 2019)The onset of convection in an inclined porous layer which is heated internally by a uniform distribution of heat sources is considered. We investigate the combined effects of inclination, anisotropy and internal heat ... -
Oscillation criteria for even-order neutral differential equations
(Journal article; Peer reviewed, 2016) -
Oscillation of fourth-order quasilinear differential equations
(Journal article; Peer reviewed, 2015) -
Oscillation of second-order neutral differential equations
(Journal article; Peer reviewed, 2013)We study oscillatory behavior of a class of second-order neutral differential equations relating oscillation of these equations to existence of positive solutions to associated first-order functional differential inequalities. ... -
Oscillation results for second-order nonlinear neutral differential equations
(Journal article; Peer reviewed, 2013)We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the literature and can be used in cases where known ... -
Oscillation theorems for second-order nonlinear neutral delay differential equations
(Journal article; Peer reviewed, 2014)We analyze the oscillatory behavior of solutions to a class of second-order nonlinear neutral delay differential equations. Our theorems improve a number of related results reported in the literature. -
Oscillatory behavior of second-order nonlinear neutral differential equations
(Journal article; Peer reviewed, 2014)We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments. ... -
Pedagogical criteria for successful use of wikis as collaborative writing tools in teacher education
(Journal article; Peer reviewed, 2012)Wiki is a Web 2.0 technology that potentially promotes collaborative writing, group discussion and interaction. However, little research has been done as to which criteria are suitable to address pedagogical issues that ...