Results 21 to 30 of about 606,903 (214)
A vanishing diffusion limit in a nonstandard system of phase field equations [PDF]
, 2012 We are concerned with a nonstandard phase field model of Cahn-Hilliard type. The model, which was introduced by Podio-Guidugli (Ric. Mat. 2006), describes two-species phase segregation and consists of a system of two highly nonlinearly coupled PDEs.
Colli, Pierluigi +3 more
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Weakly singular Henry-Gronwall-Bihari type inequalities and their applications
Journal of Mathematical Inequalities, 2022 . In this work, we establish some new weakly singular Henry-Gronwall-Bihari type inequalities that are generalized from some recent works. Unlike most previous papers, in this work, we consider integral inequalities that include two integrals with doubly
N. Dien
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Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system [PDF]
, 2013 In this paper we propose a time discretization of a system of two parabolic equations describing diffusion-driven atom rearrangement in crystalline matter.
Colli, Pierluigi +4 more
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Mathematical Foundations of Computing, 2022 Noting the diverse generalizations of the Gronwall-Bellman inequality, this paper investigates some new delay integral inequalities with power, deriving explicit bound on the solution and providing an example.
Haoyue Song, F. Meng
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Gronwall-Bellman-Type Integral Inequalities and Applications to BVPs
Journal of Inequalities and Applications, 2009 We establish some new nonlinear Gronwall-Bellman-Ou-Iang type integral inequalities with two variables. These inequalities generalize former results and can be used as handy tools to study the qualitative as well as the quantitative properties of ...
Chur-Jen Chen +2 more
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Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications
Journal of Applied Mathematics, 2013 We establish some new Gronwall-Bellman-type inequalities on time scales. These inequalities are of new forms compared with other Gronwall-Bellman-type inequalities established so far in the literature.
Bin Zheng, Qinghua Feng, Fanwei Meng
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On Some Vector-Valued Inequalities of Gronwall Type
Abstract and Applied Analysis, 2014 In this paper we established some vector-valued inequalities of Gronwall type in ordered Banach spaces. Our results can be applied to investigate systems of real-valued Gronwall-type inequalities.
Dah-Chin Luor
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Some Gronwall-Bellman Inequalities on Time Scales and Their Continuous Forms: A Survey
Symmetry, 2021 Some generalizations of the Gronwall–Bellman (G–B) inequality are presented in this paper in continuous form and on time scales. After S. Hilger introduced the time scales theory in 1988, over the years many mathematicians have studied new versions of ...
Francesca Barich
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Some generalized Gronwall-Bellman type difference inequalities and applications
Journal of Mathematical Inequalities, 2021 . We establish some generalized sums-difference inequalities involving a fi nite sum, which includes three sums and seven sums, respectively. We present the estimation of the inequality is decided by a fi nite recursion.
Zizun Li
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AIMS Mathematics, 2021 1 Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia 2 Department of Mathematics, Faculty of Sciences, University of M’hamed Bougara, Boumerdes, Dynamic Systems Laboratory, Faculty of Mathematics, U.S.T.H.
J. Alzabut +3 more
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