Results 31 to 40 of about 40,024 (68)
A functional generalization of diamond-α integral Minkowski's type inequality on time scales
, 2015 In this paper, we establish a functional generalization of Minkowski’s type inequality on time scales based on diamond-α integral, which is introduced as a linear combination of the delta and nabla integrals.
Guanggan Chen, Pin-Yu Wang
semanticscholar +1 more source
Complex-valued fractional derivatives on time scales
, 2015 We introduce a notion of fractional (noninteger order) derivative on an arbitrary nonempty closed subset of the real numbers (on a time scale). Main properties of the new operator are proved and several illustrative examples given.Comment: This is a ...
A. Karci +8 more
core +1 more source
Weyl almost periodic functions on time scales and their Fourier series
Demonstratio MathematicaIn this paper, firstly, we propose a concept of Weyl almost periodic functions on time scales by trigonometric polynomial approximation, and study some basic properties of Weyl almost periodic functions on time scales.
Li Yongkun, Huang Xiaoli
doaj +1 more source
Delta-Nabla Optimal Control Problems
, 2010 We present a unified treatment to control problems on an arbitrary time scale by introducing the study of forward-backward optimal control problems. Necessary optimality conditions for delta-nabla isoperimetric problems are proved, and previous results ...
Agnieszka B Malinowska +7 more
core +1 more source
Nonlinear EngineeringThis study explores the qualitative analysis of Dγh(ζ)=ℒ(ζ,h(ζ),Dγh(ζ)),\begin{array}{r}{{\mathcal{D}}}^{\gamma }{\mathfrak{h}}\left(\zeta )={\mathcal{ {\mathcal L} }}\left(\zeta ,{\mathfrak{h}}\left(\zeta ),{{\mathcal{D}}}^{\gamma }{\mathfrak{h}}\left ...
Nisar Kottakkaran Sooppy +3 more
doaj +1 more source
Some new dynamic Inequality on time scales in three variables
, 2016 In this paper we obtain the estimates on some dynamic integral inequalities in three variables which can be used to study certain dynamic equations.
Pachpatte, Deepak B.
core +2 more sources
Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu +3 more
doaj +1 more source
Sturm-Liouville operators on time scales
, 2011 We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm-Liouville equations on time scales which have ...
Atkinson F. +14 more
core +4 more sources
Exposure of metallic copper surface on Cu-Al2O3-carbon catalysts [PDF]
, 1970 The bifunctional nature of Cu---Al2O3-on-carbon catalysts, used in the direct catalytic conversion of ethanol to ethyl acetate, prompted an examination of the dispersion of Cu on the composite catalyst. For this, the N2O-method of Osinga et al.
Menon, P.G., Prasad, J.
core +4 more sources
Quantum Mechanics of the H+H2 Reaction: Exact Scattering Probabilities for Collinear Collisions [PDF]
, 1970 The H + H2 reaction is very important in theoretical chemical dynamics (1-4). A model that is often used to study this reaction is to restrict the atoms to lie on a nonrotating line throughout the collision and to consider that the system is ...
Kuppermann, Aron, Truhlar, Donald G.
core +1 more source