[PDF] Top 20 On Some Integral Inequalities on Time Scales and Their Applications

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

... of time scales in order to unify and extend the dif- ference and differential calculus in a consistent way (see ...dynamic inequalities on time scales is an object of long standing ... See full document

... Recently in [] we initiated the study of integral inequalities on time scales with ‘max- ima’, where some new integral inequalities were established. The significance of ... See full document

... and integral equations as well as difference ...of time scales [] as a theory capable to contain both difference and differential calculus in a consistent ...tegral inequalities on time ... See full document

... on time scales was initiated by Hilger 1 in his ...years, some integral inequalities on time scales related to certain inequalities arising in the theory of dynamic ... See full document

... give some applications for the results presented ...on time scales are derived by the results established, while in Example , we deal with the quantitative prop- erties of solutions of a kind ... See full document

... paper, some explicit bounds on solutions to a class of new power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales are established, which can be used as ... 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

... Gronwall-OuIang-type integral inequalities on time ...on time scales is ...Gronwall-type inequalities to multiple integrals. Some special cases of our results contain ... See full document

... of time scales [1], which is used as a theory capable to contain both difference and differential calculus in a consistent ...tions, integral inequalities on time scales have ... See full document

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

... article, some Gronwall-type integral inequalities with impulses on time scales are ...extend some known dynamic inequalities on time scales, unify and extend ... See full document

... linear integral inequalities on time scales with ‘maxima’ have been ...nonlinear integral inequalities that have been built up for the solution of the in- tegral ... See full document

... extend some nonlinear dynamic double integral inequalities of two independent variables involving pairs of time scales via nabla ... See full document

... investigate some nonlinear integral inequalities on time ...extend some continuous inequalities and their correspond- ing discrete ... See full document

... study some nonlinear dynamic integral inequalities on time scales by introducing two adjusting parameters, which provide improved bounds on unknown ... 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 ... See full document

... Gronwall–Bellman-type inequalities on an arbitrary time scale T . We investigate some new explicit bounds of a certain class of nonlinear retarded dynamic inequalities of Gronwall–Bellman type ... See full document

... establish some new nonlinear retarded Volterra–Fredholm type integral inequalities on time ...extend some known integral inequalities, but also provide a handy and ... See full document

... of time scales was introduced and developed by Hilger [] and Bohner and Peterson [, ] in order to unify continuous and discrete ...extended some integral inequalities used in the ... See full document