Search results for "Differentia"
showing 10 items of 8428 documents
Efficient numerical methods for simulating continuous casting processes
2014
Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction
2019
We consider a parametric nonlinear Robin problem driven by a nonhomogeneous differential operator. The reaction is a Carathéodory function which is only locally defined (that is, the hypotheses concern only its behaviour near zero). The conditions on the reaction are minimal. Using variational tools together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter λ > 0, the problem has at least three nontrivial smooth solutions, two of constant sign and the third nodal.
MR3157399 Reviewed: Kesavan, S. Continuous functions that are nowhere differentiable. Math. Newsl. 24 (2013), no. 3, 49–52. (54C05)
2014
The author uses the Baire category theorem to prove the existence of nowhere differentiable functions in C([0,1]). Precisely, the author proves the following: Theorem 1. There exist continuous functions on the interval [0,1] which are nowhere differentiable. In fact, the collection of all such functions forms a dense subset of C([0,1]).
Differential effects of perceptions of equal, favourable and unfavourable autonomy support on educational and well-being outcomes
2019
Abstract In this study, we examined whether high-school students experienced optimal educational and well-being outcomes when they perceived that they and their classmates received an equal, rather than unequal, and high amount of autonomy support from teachers. In a prospective study that aimed to predict academic grades and well-being outcomes, surface analyses of polynomial regression equations pointed that perceptions of equal autonomy support were the most optimal in terms of yielding highest levels of need satisfaction, autonomous forms of motivation and happiness with math courses. Additionally, in accordance with tenets of self-determination theory, we demonstrated that effects asso…
Eriyttäminen lukemaanopetuksessa : seitsemän opettajan kokemukset lukevien koulutulokkaiden eriyttämisestä lukemaanopetuksessa
2001
Aistikanavapohjaisesti eriytetyn verkko-oppimisympäristön analyysi
2017
Tutkimuksessa analysoidaan verkko-oppimisympäristön oppimateriaalin eriyttämistä aistikanavapohjaisesti. Oppimateriaalin eriyttämiseen käytetään VARK-miellejärjestelmämallia, joka pyrkii tukemaan oppilaan oppimismieltymyksiä luokittelemalla kyselyn avulla oppilaat visuaalisen, auditiivisen, lukija–kirjoittaja- ja kinesteettisen aistipreferenssin mukaan ja tarjoamalla luokittelun perusteella heille erilaisia oppimisstrategioita. Työssä tutkitaan, miten VARK-miellejärjestelmä soveltuu yläkoululaisten historian verkko-oppimateriaalin eriyttämisen perustaksi oppimistulosten ja oppimiskokemusten näkökulmasta. Tutkimusta varten luotiin verkko-oppimisympäristö, johon koottiin yhden oppitunnin aika…
Simple memetic computing structures for global optimization
2014
Regularity of quasilinear sub-elliptic equations in the Heisenberg group
2018
Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions
2020
The paper is concerned with a free boundary problem generated by the biharmonic operator and an obstacle. The main goal is to deduce a fully guaranteed upper bound of the difference between the exact minimizer u and any function (approximation) from the corresponding energy class (which consists of the functions in $H^2$ satisfying the prescribed boundary conditions and the restrictions stipulated by the obstacle). For this purpose we use the duality method of the calculus of variations and general type error identities earlier derived for a wide class of convex variational problems. By this method, we define a combined primal--dual measure of error. It contains four terms of different natu…
Quantitative Approximation Properties for the Fractional Heat Equation
2017
In this note we analyse \emph{quantitative} approximation properties of a certain class of \emph{nonlocal} equations: Viewing the fractional heat equation as a model problem, which involves both \emph{local} and \emph{nonlocal} pseudodifferential operators, we study quantitative approximation properties of solutions to it. First, relying on Runge type arguments, we give an alternative proof of certain \emph{qualitative} approximation results from \cite{DSV16}. Using propagation of smallness arguments, we then provide bounds on the \emph{cost} of approximate controllability and thus quantify the approximation properties of solutions to the fractional heat equation. Finally, we discuss genera…