scholarly journals Generalized double-integral Ostrowski type inequalities on time scales

2011 ◽  
Vol 24 (8) ◽  
pp. 1461-1467 ◽  
Author(s):  
Sabir Hussain ◽  
Muhammad Amer Latif ◽  
Mohammad Alomari
Keyword(s):  
Time Scales ◽  
Double Integral

scholarly journals On Fuzzy Henstock-Kurzweil-Stieltjes-♦-Double Integral on Time scales

2021 ◽  
Vol 2 (2) ◽  
pp. 38-49
Author(s):  
David AFARIOGUN ◽  
Adesanmi MOGBADEMU ◽  
Hallowed OLAOLUWA
Keyword(s):  
Uniform Convergence ◽  
Time Scales ◽  
Convergence Theorem ◽  
Monotone Convergence ◽  
Double Integral ◽  
Monotone Convergence Theorem ◽  
Integrable Functions ◽  
Dominated Convergence

We introduce and study some properties of fuzzy Henstock-Kurzweil-Stietljes-$ \Diamond $-double integral on time scales. Also, we state and prove the uniform convergence theorem, monotone convergence theorem and dominated convergence theorem for the fuzzy Henstock-Kurzweil Stieltjes-$\Diamond$-double integrable functions on time scales.

scholarly journals Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales

2011 ◽  
Vol 2011 ◽  
pp. 1-21 ◽  
Author(s):  
S. H. Saker
Keyword(s):  
Time Scales ◽  
Unknown Function ◽  
The Other ◽  
Dynamic Equations ◽  
Double Integral ◽  
Independent Variables ◽  
Explicit Bounds ◽  
Quantitative Properties ◽  
The One ◽  
Two Independent Variables

Our aim in this paper is to establish some explicit bounds of the unknown function in a certain class of nonlinear dynamic inequalities in two independent variables on time scales which are unbounded above. These on the one hand generalize and on the other hand furnish a handy tool for the study of qualitative as well as quantitative properties of solutions of partial dynamic equations on time scales. Some examples are considered to demonstrate the applications of the results.

scholarly journals Double integral calculus of variations on time scales

2007 ◽  
Vol 54 (1) ◽  
pp. 45-57 ◽  
Author(s):  
Martin Bohner ◽  
Gusein Sh. Guseinov
Keyword(s):  
Calculus Of Variations ◽  
Time Scales ◽  
Double Integral ◽  
Integral Calculus

scholarly journals An Existence Result for Henstock-Kurzweil-Stieltjes-⋄-Double Integral of Interval-Valued Functions on Time Scales

2021 ◽  
Vol 4 (2) ◽  
pp. 1-7
Author(s):  
David Adebisi Afariogun ◽  
Adesanmi Alao Mogbademu
Keyword(s):  
Time Scales ◽  
Existence Result ◽  
Double Integral ◽  
Interval Valued

We employ the concept of interval-valued functions to state and prove an existence result for the Henstock-Kurzweil-Stieltjes-⋄-double integral on time scales.

scholarly journals Delay dynamic double integral inequalities on time scales with applications

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Sobia Rafeeq ◽  
Humaira Kalsoom ◽  
Sabir Hussain ◽  
Saima Rashid ◽  
Yu-Ming Chu
Keyword(s):  
Time Scales ◽  
Integral Inequalities ◽  
Double Integral

LVSEM: Past Present and Future

1990 ◽  
Vol 48 (1) ◽  
pp. 364-365
Author(s):  
James B. Pawley
Keyword(s):  
Field Emission ◽  
Line Width ◽  
Time Scales ◽  
Silicon Oxide ◽  
Beam Current ◽  
High Brightness ◽  
High Beam ◽  
Fixed Charges ◽  
Beam Voltage ◽  
Deposited Metal

Past: In 1960 Thornley published the first description of SEM studies carried out at low beam voltage (LVSEM, 1-5 kV). The aim was to reduce charging on insulators but increased contrast and difficulties with low beam current and frozen biological specimens were also noted. These disadvantages prevented widespread use of LVSEM except by a few enthusiasts such as Boyde. An exception was its use in connection with studies in which biological specimens were dissected in the SEM as this process destroyed the conducting films and produced charging unless LVSEM was used.In the 1980’s field emission (FE) SEM’s came into more common use. The high brightness and smaller energy spread characteristic of the FE-SEM’s greatly reduced the practical resolution penalty associated with LVSEM and the number of investigators taking advantage of the technique rapidly expanded; led by those studying semiconductors. In semiconductor research, the SEM is used to measure the line-width of the deposited metal conductors and of the features of the photo-resist used to form them. In addition, the SEM is used to measure the surface potentials of operating circuits with sub-micrometer resolution and on pico-second time scales. Because high beam voltages destroy semiconductors by injecting fixed charges into silicon oxide insulators, these studies must be performed using LVSEM where the beam does not penetrate so far.

SPECTRAL DIFFUSION AND RELAXATION OF PHOTOCHEMICAL HOLES ON LOGARITHMIC TIME SCALES

1985 ◽  
Vol 46 (C7) ◽  
pp. C7-357-C7-361 ◽  
Author(s):  
J. Friedrich ◽  
D. Haarer
Keyword(s):  
Time Scales ◽  
Spectral Diffusion

A Two Time Scales Turbulence Model of Turbulent Bubbly Flows

2013 ◽  
Vol 40 (3) ◽  
pp. 185-203
Author(s):  
Dhahri Maher ◽  
Bellakhel Ghazi ◽  
Chahed Jamel
Keyword(s):  
Time Scales ◽  
Turbulence Model ◽  
Bubbly Flows
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