Results 71 to 80 of about 5,610 (306)

Constrained extremal problems for the difference product [PDF]

, 2010
Let Δn(x) be the difference product of n variables: Δn(x)=Δ(x1,…,xn)=∏1 ...
Kaneko, Jyoichi
core   +1 more source

First-Order Singular and Discontinuous Differential Equations

Boundary Value Problems, 2009
We use subfunctions and superfunctions to derive sufficient conditions for the existence of extremal solutions to initial value problems for ordinary differential equations with discontinuous and singular nonlinearities.
Daniel C. Biles, Rodrigo López Pouso   +1 more
doaj   +2 more sources

Using variational formulae for solving extremal problems in linearly‐invariant classes

Mathematical Modelling and Analysis, 1997
„Using variational formulae for solving extremal problems in linearly‐invariant classes" Mathematical Modelling Analysis, 2(1), p.
E. G. Kirjackij
doaj   +1 more source

Karl Popper and the Mechanisms of Hydrogen Embrittlement

Advanced Engineering Materials, EarlyView.
Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley   +1 more source

A General Coefficient Theorem for Univalent Functions: Generalization of the Bieberbach and Zalcman Conjectures

Axioms
The main result of this paper is that any rotationally homogeneous polynomial functional J(f)=∑|α|=n0NCm1,…,msam1αm1…amsαms with |α|=αm1+⋯+αms≥3 ...
Samuel L. Krushkal
doaj   +1 more source

A CHARACTERIZATION OF EXTREMAL ELEMENTS IN SOME LINEAR PROBLEMS

Ural Mathematical Journal, 2017
We give a characterization of elements of a subspace of a complex Banach space with the property that the norm of a bounded linear functional on the subspace is attained at those elements.
Vitalii V. Arestov
doaj   +1 more source

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

Average Relaxations of Extremal Problems [PDF]

In this paper extremal problems that include averaging operation in constraints and objective are considered. The relaxation caused by a replacement of a problem without averaging with a problem that includes averaging is formally defined and ...
Anatoliy M. Tsirlin, Valdimir Kazakov
core  

New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design

Advanced Engineering Materials, EarlyView.
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare, Y. Beideler, D. Chune, R. De Guio, T. Roland, H. Chibane   +5 more
wiley   +1 more source

A note on some extremal problems for trigonometric polynomials [PDF]

n.a.
Dette, Holger, Melas, Viatcheslav B.
core