[PDF] Top 20 Some new nonlinear retarded sum difference inequalities with applications

... integral inequalities and the theory of difference equations, more attentions are drawn to some discrete versions of Gronwall type inequalities ...for some early works). Some ... See full document

... integral inequalities and the theory of difference equations, more attentions are paid to some discrete versions of Bellman-Gronwall type inequalities ... 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

... consider some new nonlinear retarded integral inequalities with two variables, which extend the results in the work of ...These inequalities include not only a nonconstant term ... See full document

... where μ > , λ > , and  < β, γ ≤ . Our proposed method can avoid the so-called ‘q-condition,’ and under a new assumption, the more concise results are derived. More- over, to show the application of ... 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 ...solve some new estimated bounds ... See full document

... follows. Some important definitions and results on discrete fractional calculus are collected in Section .... Some new nonlinear Volterra-Fredholm- type discrete fractional sum ... See full document

... are some generalizations and extensions related to Lyapunov- type inequalities; and for recent work in the literature on discrete and continuous cases as well as its special case, ...establish some ... See full document

... present some new Gronwall- Bellmann type discrete fractional sum inequalities, and based on them present some Volterra-Fredholm type discrete ...These inequalities are of ... See full document

... Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan 2003 and Pachpatte ...These inequalities can be ... See full document

... equations. Some linear and nonlinear gen- eralizations ...integral inequalities with weakly singular kernels have attracted more and more attention (see ...a new method was presented to ... See full document

... such inequalities are not directly applicable in the study of some com- plicated retarded inequalities for discontinuous ...establish new inequalities of the above type, which ... See full document

... Some new generalized retarded nonlinear integral inequalities with iterated integrals are discussed and upper bound estimations of unknown functions are given by analysis ... See full document

... integral inequalities and their generalizations were studied; in [–], the Gronwall-like inequalities and their deformations were investi- gated; in [–], the Volterra type iterated ... See full document

... In some situations, we need to study some delay nonlinear integral inequalities, so, the inequalities proved in [5] are not directly applicable in the study of delay nonlinear ... See full document

... discuss some new generalized nonlinear Gronwall-Bellman-Type integral inequalities with two variables, which include a non-constant term outside the ... See full document

... Finite difference inequalities in one or two independent variables which provide expli- cit bounds play a fundamental role in the study of boundedness, uniqueness, and con- tinuous dependence on initial ... See full document

... discuss some generalized retarded nonlinear integral inequalities, which not only include nonlinear compound function of unknown function but also include retard items, and give upper ... See full document

... investigate some nonlinear integral inequalities on time scales, which extend some inequalities established by Li and Sheng 8 and Li ...obtained inequalities can be used as ... See full document

... 19 M. Eshaghi Gordji, T. Karimi, and S. Kaboli Gharetapeh, “Approximately n-Jordan homomorphisms on Banach algebras,” Journal of Inequalities and Applications, vol. 2009, Article ID 870843, 8 pages, 2009. ... See full document