351 research outputs found
Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales
We prove a two dimensional Holder and reverse-Holder inequality on time
scales via the diamond-alpha integral. Other integral inequalities are
established as well, which have as corollaries some recent proved Hardy-type
inequalities on time scales.Comment: Accepted for publication (October 21, 2009) in the journal "Annals of
the University of Craiova, Mathematics and Computer Science Series"
(http://inf.ucv.ro/~ami
Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives
In this work we study a generalized nonlocal thermistor problem with
fractional-order Riemann-Liouville derivative. Making use of fixed-point
theory, we obtain existence and uniqueness of a positive solution.Comment: Submitted 17-Jul-2011; revised 09-Oct-2011; accepted 21-Oct-2011; for
publication in the journal 'Differential Equations & Applications'
(http://dea.ele-math.com
A Dual Mesh Method for a Non-Local Thermistor Problem
We use a dual mesh numerical method to study a non-local parabolic problem
arising from the well-known thermistor problem.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA
Optimal Control for a Steady State Dead Oil Isotherm Problem
We study the optimal control of a steady-state dead oil isotherm problem. The
problem is described by a system of nonlinear partial differential equations
resulting from the traditional modelling of oil engineering within the
framework of mechanics of a continuous medium. Existence and regularity results
of the optimal control are proved, as well as necessary optimality conditions.Comment: This is a preprint of a paper whose final and definitive form will
appear in Control and Cybernetics. Paper submitted 24-Sept-2012; revised
21-March-2013; accepted for publication 17-April-2013. arXiv admin note: text
overlap with arXiv:math/061237
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