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Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52266#.VI-sw8nQrzE KEYWORDS Integral Inequalities , One Independent Variable , Partial Differential Equations , Nondecreasing , Nonincreasing Cite this paper Khan, Z. (2014) Integral Inequalities of Gronwall-Bellman Type. Applied Mathematics , 5 , 3484-3488. doi: 10.4236/am.2014.521326 .    References [ 1 ] Abdeldaim, A. and Yakout, M. (2011) On Some New Integral Inequalities of Gronwall-Bellman-Pachpatte Type. Applied Mathematics and Computation, 217,...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52266#.VI5IKMnQrzE Author(s)   Zareen A. Khan Affiliation(s) Department of Mathematics, Princess Noura Bint Abdurehman University, Riyadh, KSA . ABSTRACT The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial differential and integral equations. KEYWORDS Integral Inequalities , One Inde...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51075#.VFMbBGfHRK0 Author(s) Tarasiewicz Stanislaw * , Yoboué Guillaume N’zi Affiliation(s) Department of Mechanical Engineering, Laval University, Québec, Canada . ABSTRACT The authors’ objective is to estimate a dynamic behaviour of Clinker Rotary Kiln when the state variables of the process can be measured only at a few locations. These variables (gas, clinker temperatures and clinker mass distributions) are elaborated with the help of heat, pressure and mass balance partial differential equations. The resulting state model, decomposed into five phenomenological zones of CRK, is used as a first step to define a set of Basic O...