[PDF] Top 20 Bounds for Certain Delay Integral Inequalities on Time Scales

... some delay integral inequalities on time scales by using Gronwall’s inequality and comparison ...some delay integral inequalities and their corresponding discrete ... See full document

... of integral equations, the fact cannot be denied that Gronwall–Bellman inequality, Bihari inequality, and their various generalizations play a pivotal role in providing precise bounds of dif- ferential, ... See full document

... new integral inequalities on time scales, which provide explicit bounds on unknown ...some integral inequalities and their corresponding discrete ...The ... See full document

... explicit bounds of certain dynamic integral inequalities on time ...the bounds on unknown functions which can be used in studying the qualitative aspects of certain ... See full document

... type integral inequalities on time scales containing integration on infinite intervals are ...new bounds for unknown functions concerned and can be used as a handy tool in the research ... See full document

... type integral inequalities on time scales, which extend some known inequalities and provide a handy tool for deriving bounds of solutions of retarded dynamic equations on ... See full document

... Integral inequalities which provide explicit bounds of the unknown functions play a fun- damental role in the development of the theory of differential and integral ...of integral ... See full document

... nonlinear integral inequalities on time scales with ‘maxima’, which provide explicit bounds on unknown functions, are ...these integral inequalities is given by their wide ... See full document

... dynamic integral inequalities on time scales by introducing two adjusting parameters, which provide improved bounds on unknown ...of certain classes of dynamic equations on ... See full document

... 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 solve some new estimated ... See full document

... type integral in- equalities on time ...the integral inequalities considered in this paper involve the retarded term, which results in difficulties in the estimation on the explicit ... See full document

... OuIang inequalities and their generalizations have proved to be useful tools in oscillation theory, boundedness theory, stability theory, and other applications of differential and difference ...OuIang ... See full document

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

... dynamic integral inequalities on time scales, which provide explicit bounds on unknown ...of certain classes of dynamic equations with mixed nonlinearities on time ... See full document

... nonlinear integral inequalities in two independent variables on time ...some integral inequalities and their corresponding discrete analogues which established by ...The ... See full document

... some delay nonlinear integral inequalities, so, the inequalities proved in [5] are not directly applicable in the study of delay nonlinear dif- ferential ...new delay ... See full document

... the time delay, see [14, 15] and the references ...novel inequalities have been proposed, such as the auxiliary function-based inequality and the Bessel–Legendre inequality, which can be obtained by ... See full document

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

... dynamic inequalities on time ...dynamic inequalities; the results unify and extend some continuous inequalities and their corresponding discrete ...The inequalities given here can be ... See full document

... nonlinear integral inequalities on time scales, which unify and extend some inequalities established by Pachpatte in ...of certain properties of dynamic equa- tions on ... See full document