[PDF] Top 20 A New Nonlinear Retarded Integral Inequality and Its Application

... equations, integral equations and integro- differential equations, various generalizations of Gronwall inequality and their applications have attracted great interests of many ... See full document

... stability theory of impulsive functional differential equations has obtained a rapid development, and many interesting results have been reported, see [1-8,16-23]. Recently, exponential stability has attracted increasing ... See full document

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

... control, nonlinear programming, economics, regional, structural, transporta- tion, elasticity, and applied sciences, ...and its variant forms including the Wiener-Hopf equations, descent methods can solve ... See full document

... Pachpatte, “On a certain retarded integral inequality and applications,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Pachpatte, “Inequalities applicable to certain par[r] ... See full document

... Gronwall-Bellman inequalities [, ] can be used as important tools in the study of exis- tence, uniqueness, boundedness, stability, and other qualitative properties of solutions of differential equations, integral ... See full document

... and nonde-creasing functions in each variable. Inequalities (1.1), (1.2), and (1.3) are the discrete versions of Agarwal et al. [18] and Chen et al. [19]. They not only generalized the forms with one variable into the ... See full document

... Retarded Integral inequalities which give us explicit bounds on unknown functions provide a very important device in the study of many qualitative properties of solutions of nonlinear retarded ... See full document

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

... The inequality technique is one of the useful tools in the study of special ...some new meth- ods for convergence of a q-series, we derive an inequality for the q-integral with the basic ... See full document

... some new extensions of Hilbert’s integral inequality with parameter λλ > 1/2 can be established by introducing a proper weight ...Hilbert’s integral inequality is obtained. As ... See full document

... order retarded semilinear systems is studied when the nonlinear term satisfies the newly formulated bounded integral contractor-type ...order retarded semilinear systems using an iterative ... See full document

... that inequality technique is an important tool for investigating dynamical behavior of differential ...and integral inequalities in the qualitative investigation of various classes of functional equations ... See full document

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

... The purpose of the present paper is to establish some new nonlinear retarded integral inequalities of Gronwall-Bellman type with two variables. We can demonstrate that inequalities 1.4, 1.5, ... See full document

... and integral inequalities 1–12, the sufficient conditions on the attracting sets for different differential systems are obtained ...of nonlinear functional differential equations with distributed ... See full document

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

... generalized nonlinear weakly singular retarded Wendroff-type integral inequality with maxima of an unknown function of two ...singular integral equation with maxima may be ... See full document

... some new generalized retarded nonlinear integral inequalities, which include nonlinear composite functions of unknown functions between iterated integrals, are ... See full document

... linear integral inequalities with two variables, and gives an estimation for a general form of nonlinear integral inequality with two ... See full document