Results 41 to 50 of about 606,903 (214)

Bounds for Tur\'anians of modified Bessel functions

, 2013
Motivated by some applications in applied mathematics, biology, chemistry, physics and engineering sciences, new tight Tur\'an type inequalities for modified Bessel functions of the first and second kind are deduced.
Alexandrov, Amos, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Bertini, Bhattacharya, Erdélyi, Fabrizi, Giorgi, Giorgi, Grandison, Gronwall, Hamsici, Hamsici, Hamsici, Hartman, Hartman, Hartman, Hasan, Ismail, Ismail, Ismail, Joshi, Klimek, Kokologiannaki, Laforgia, Laforgia, Lechleiter, Lombardo, Lorch, Lushnikov, Marchand, Marchand, Marchand, Nasell, Paltsev, Penfold, Phillips, Radwan, Radwan, Robert, Schlenk, Segura, Simitev, Simon, Tanabe, Thabane, Thiruvenkatachar, van Haeringen, Watson, Watson, Árpád Baricz   +58 more
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Generalized Gronwall inequalities and their applications to fractional differential equations

, 2013
In this paper, we provide several generalizations of the Gronwall inequality and present their applications to prove the uniqueness of solutions for fractional differential equations with various derivatives.MSC:26A33, 34A08.
Shi-you Lin
semanticscholar   +1 more source

Global attractors for nonlinear viscoelastic equations with memory [PDF]

, 2013
We study the asymptotic properties of the semigroup S(t) arising from a nonlinear viscoelastic equation with hereditary memory on a bounded three-dimensional domain written in the past history framework of Dafermos.
Conti, Monica, Marchini, Elsa M., Pata, Vittorino   +2 more
core   +1 more source

Remark on Gronwall’s inequality

Proceedings Mathematical Sciences, 1992
The present note is devoted to abstract analogues of the Gronwall inequality in classical propositional calculus. Let \(a_ 1,a_ 2,\dots,b_ 1,b_ 2,\dots,\) and \(x_ 1,x_ 2,\dots\) be infinite sets of statement variables and \(\sim\), \(\land\), \(\lor\), \(\supset\), and \(\equiv\) connectives in classical propositional calculus. The main results of the
openaire   +2 more sources

A Linear Generalization of Gronwall's Inequality [PDF]

Proceedings of the American Mathematical Society, 1965
where k(t, s) and w0(t) are known non-negative functions and u(t) is an unknown non-negative function. For examples, one can refer to Bellman [l, pp. 35 ff.], Coddington and Levinson [2, pp. 37 ff.], Willett [3], and others. In order to obtain from (1.1) a genuine upper bound for u(t), i.e., an upper bound independent of u, it seems necessary to ...
openaire   +1 more source

The Essential Gronwall Inequality Demands the $\left(\rho,\varphi \right) -$Fractional Operator with Applications in Economic Studies

Universal Journal of Mathematics and Applications
Gronwall's inequalities are important in the study of differential equations and integral inequalities. Gronwall inequalities are a valuable mathematical technique with several applications.
Rabha Ibrahim, Zoubir Dahmani, Mohamed Bezzıou   +2 more
doaj   +1 more source

Existence and uniqueness of positive solutions for fractional differential equations

Boundary Value Problems, 2019
By some new integral inequalities of Henry–Gronwall type, we investigate the existence and uniqueness of positive solutions for fractional differential equations.
Tao Zhu
doaj   +1 more source

On a Stieltjes version of Gronwall’s inequality [PDF]

Proceedings of the American Mathematical Society, 1981
A unified formulation of Gronwall’s inequality ( GI ) ({\text {GI}}) for certain Stieltjes integrals is presented. An advantage in using Stieltjes integrals lies in the fact that some of the "continuous" and "discrete" versions of the inequality may be obtained as a consequence of the same ...
openaire   +2 more sources

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, EarlyView.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Remarks on a parameter estimation for von Mises--Fisher distributions

, 2013
We point out an error in the proof of the main result of the paper of Tanabe et al. (2007) concerning a parameter estimation for von Mises--Fisher distributions, we correct the proof of the main result and we present a short alternative proof.Comment: 3 ...
Baricz, Árpád
core   +1 more source