[PDF] Top 20 Some dynamic inequalities on time scales and their applications

... 4. Rashid, M.H.M.: Explicit bounds on retarded Gronwall–Bellman inequality. Tamkang J. Math. 43(1), 99–108 (2012) 5. Ferreira, R.A.C., Torres, D.F.M.: Generalized retarded integral inequalities. Appl. Math. Lett. ... See full document

... such inequalities over the years (for example, see ...of time scales as a theory capable to contain both difference and dif- ferential calculus in a consistent way, many authors have expounded on ... See full document

... prove some weighted dynamic inequalities of Opial-type involving integrals of powers of a function and of its derivative on time scales which not only extend some results in the ... See full document

... of dynamic inequalities on time scales has a lot of ...to some general fractional Schlömilch’s type and Rogers-Hölder’s type dynamic inequalities for convex functions ... See full document

... of time scales which was introduced by Stefan Hilger [1] in his ...of dynamic inequalities on time scales (see, ...extended some discrete and continuous ... See full document

... introducing some Bihari type inequalities for scalar functions of one independent variable under an initial condition associated with an arbitrary time scale ...past time interval. We not only ... See full document

... study some new retarded Volterra-Fredholm type integral inequalities on time scales, which provide explicit bounds on unknown ...These inequalities generalize and extend some ... See full document

... of time scale in his Ph.D dissertation. Dynamic inequalities on time scales has applications in various ...of dynamic equations and inequalities on time ... See full document

... of dynamic inequalities on time scales has been proven by many analysts who were propelled by certain applications (see [1–4, 9– 14, 18, ...on time scales to deliver ... See full document

... investigate some new dynamic inequalities on time ...establish some new dynamic inequalities; the results unify and extend some continuous inequalities and ... See full document

... of some fundamental integral inequalities used in the theory of differential and integral equations on time ...illustrate some time scale Pachpatte- type inequalities by ... See full document

... This model arises in ohmic heating phenomena, which occur in shear bands of metals which are deformed at high strain rates [, ], in the theory of gravitational equilibrium of polytropic stars [], in the investigation ... See full document

... establish some new Gronwall-Bellman type integral inequalities on time scales containing integration on infinite ...presented inequalities. Also we present some ... See full document

... Zhou, “Lyapunov inequality for linear Hamiltonian systems on time scales,” Journal of Mathematical Analysis and Applications, vol.. Kaymakçalan, “Lyapunov inequalities for discrete line[r] ... See full document

... establish some new nonlinear delay integral inequalities on time scales, which are generalizations of some known continuous inequalities and discrete inequalities in the ... See full document

... of dynamic equations on time scales. Assuming arbitrary time scales, the authors of [14] established some new inequalities of Pachpatte type, incorpo- rating two nonlinear ... See full document

... paper, some new types of nonlinear integral inequalities on time scales with ‘maxima’, which provide explicit bounds on unknown functions, are ...integral inequalities is given by their ... See full document

... type inequalities, in this paper, we explore and generalize the following nonlinear dynamic inequalities of two independent variables via nabla derivative on time ... See full document

... on time scales with ...gral inequalities on time scales with ‘maxima’. Some new inequalities are established and some applications for them are ... See full document

... proved some new generalizations of dynamic Opial-type inequalities on time ...these dynamic inequalities, we obtained some integral and dis- crete inequalities ... See full document