Results 11 to 20 of about 39,049 (66)

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., Davidson F.A., Erbe L., Gerald Teschl, Guseinov G.S., Guseinov G.S., Huseynov A., Huseynov A., Jonathan Eckhardt, Mingarelli A.B., Sun S., Teschl G., Volkmer H., Zhang C., Šimon Hilscher R.   +14 more
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The contingent epiderivative and the calculus of variations on time scales

, 2010
The calculus of variations on time scales is considered. We propose a new approach to the subject that consists in applying a differentiation tool called the contingent epiderivative.
Girejko, Ewa, Malinowska, Agnieszka B., Torres, Delfim F. M.   +2 more
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Inequalities and majorisations for the Riemann-Stieltjes integral on time scales

, 2010
We prove dynamic inequalities of majorisation type for functions on time scales. The results are obtained using the notion of Riemann-Stieltjes delta integral and give a generalization of [App. Math. Let. 22 (2009), no.
Mozyrska, Dorota, Pawluszewicz, Ewa, Torres, Delfim F. M.   +2 more
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Spectral studies of some hydroxy-derivatives of anthraquinones [PDF]

, 1970
The u.v., visible, and i.r. spectra of several hydroxy-anthraquinones are discussed and the bands are assigned. These bands are compared with those of anthracene and anthraquinone. The band at 207 nm.
El Ezaby, M. S., Issa, R., Salem, T. M., Zewail, A. H.   +3 more
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Weyl almost periodic functions on time scales and their Fourier series

Demonstratio Mathematica
In 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, Aulbach B., Bohner M., Delfim FM Torres, Ewa Girejko, Girejko E., Malinowska AB, Malinowska AB   +7 more
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Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations

, 2018
We introduce new fractional operators of variable order on isolated time scales with Mittag-Leffler kernels. This allows a general formulation of a class of fractional variational problems involving variable-order difference operators.
A Atangana, A Atangana, A Atangana, A Atangana, A Atangana, A Coronel-Escamilla, A Coronel-Escamilla, A Coronel-Escamilla, B Pei, B Ross, Benaoumeur Bayour, C Goodrich, CF Lorenzo, CFM Coimbra, CJ Zúñiga-Aguilar, D Tavares, D Tavares, D Tavares, D Tavares, G Diaz, J Losada, J Tang, JE Solís-Pérez, JF Gómez-Aguilar, JF Gómez-Aguilar, JF Gómez-Aguilar, JF Gómez-Aguilar, K Sheng, LES Ramirez, LES Ramirez, M Caputo, M Caputo, N Benkhettou, Nadia Benkhettou, NRO Bastos, NRO Bastos, NRO Bastos, R Almeida, RB Nelsen, SG Samko, SG Samko, SG Samko, T Abdeljawad, T Abdeljawad, T Abdeljawad, T Abdeljawad, TM Atanackovic, VF Morales-Delgado, Y Hang   +48 more
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Qualitative analysis on existence and stability of nonlinear fractional dynamic equations on time scales

Nonlinear Engineering
This 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, Anusha Chandran, Ravichandran Chokkalingam, Sabarinathan Sriramulu   +3 more
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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, F.M. Atıcı, G.S. Taverna, M. Bohner, M. Bohner, M. Bohner, N. Benkhettou, N. Benkhettou, V. Kac   +8 more
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Some integral inequalities on time scales

, 2011
In this paper, some new integral inequalities on time scales are presented by using elementarily analytic methods in calculus of time scales.Comment: 8 ...
F. Qi, Feng Qi, L. Yin, Li Yin, M. Akkouchi, M. Akkouchi, M. Bohner, V. Krasniqi, X.-K. Chai, Y. Hong, Z. Dahmani, Z. Dahmani   +11 more
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