Results 91 to 100 of about 439,454 (357)

ON THE STABILITY OF SOME QUADRATIC FUNCTIONAL EQUATION [PDF]

open access: yesJournal of Nonlinear Sciences and Applications, 2011
In this paper we establish the general solution of the functional equation which is closely associated with the quadratic functional equation and we investigate the Hyers-Ulam-Rassias stability of this equation in Banach spaces.
openaire   +2 more sources

Quantifying the Effects of Geometric Parameters on the Elastic Properties of Multilayer Graphene Platelet Films

open access: yesAdvanced Materials, EarlyView.
Realistic random 3D periodic representative volume element models of multilayer graphene platelet films are constructed to perform simulations, quantify the effects of different geometric parameters on all their five independent elastic properties, and uncover the dominant deformation mechanisms.
Penghao Qi   +8 more
wiley   +1 more source

Chandrasekhar equations for infinite dimensional systems [PDF]

open access: yes
Chandrasekhar equations are derived for linear time invariant systems defined on Hilbert spaces using a functional analytic technique. An important consequence of this is that the solution to the evolutional Riccati equation is strongly differentiable in
Ito, K., Powers, R. K.
core   +1 more source

Multi‐Mode Mechanochromic Responses from Cholesteric Liquid Crystal Elastomer Tubes of Uniform Sheath

open access: yesAdvanced Materials, EarlyView.
The structural‐colored tube is created from cholesteric liquid crystal elastomers, exhibiting uniform color changes with high strain sensitivity upon extension and inflation. The color change occurs across multiple mechanochromic modes, highlighting the influence of molecular anisotropy and tubular geometry on strain sensitivity.
Jong Bin Kim   +4 more
wiley   +1 more source

Unraveling the Impact of Electrosorbed Ions on the Scaling Behavior of Fast‐Charging Dynamics of Nanoporous Electrodes Toward Digital Design of Iontronic Devices

open access: yesAdvanced Materials, EarlyView.
Electrosorbed ions under nanoconfinement (see TOC figure) critically reshape electrochemical potentials and impact ion transport in porous electrodes. By integrating modified Poisson–Nernst–Planck simulations with multilayered graphene membrane experiments, this study establishes a scaling relation and reveals electrosorption‐enhanced transport ...
Jinsha Liao   +5 more
wiley   +1 more source

STABILITY OF MIXED TYPE ADDITIVE QUADRATIC FUNCTIONAL EQUATION IN RANDOM NORMED SPACE

open access: yes, 2013
In this paper, the authors obtain the general solution in vector space and generalized Ulam-Hyers stability of mixed type additive quadratic functional equation f(2x ± y ± z) = 2f(−x ∓ y ∓ z) − 2f(∓y ∓ z) + f(±y ± z) + 3f(x) − f(−x)
S. Murthy   +3 more
semanticscholar   +1 more source

Viscoelasticity, Lubricity, and Wear Prevention of Cross‐Linked Mucin Gels

open access: yesAdvanced Materials Interfaces, EarlyView.
Physiologically, biolubrication by mucus reduces friction and protects tissues from tribological stress, with mucins playing a key role. This study compares mucin‐based gels with distinct crosslinking architectures to explore their effect on the lubrication and wear prevention abilities of reconstituted mucin gels.
Chiara Gunnella   +2 more
wiley   +1 more source

Fuzzy Stability of an Additive-Quadratic-Quartic Functional Equation

open access: yesJournal of Inequalities and Applications, 2010
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation: in fuzzy Banach spaces.
Park Choonkil
doaj   +2 more sources

Generalized Quadratic Revenue Functions [PDF]

open access: yes
In this paper we focus on specification of revenue functions in their dual price space. We consider two distance functions, both dual to the revenue function: Shephard output distance function and the directional output distance function, both in price ...
Michael Vardanyan   +3 more
core  

Zero-sum linear quadratic stochastic integral games and BSVIEs [PDF]

open access: yes, 2010
This paper formulates and studies a linear quadratic (LQ for short) game problem governed by linear stochastic Volterra integral equation. Sufficient and necessary condition of the existence of saddle points for this problem are derived. As a consequence
Shi, Yufeng, Wang, Tianxiao
core  

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