[PDF] Top 20 Nonlinear Retarded Integral Inequalities with Two Variables and Applications

... Integral inequalities that give explicit bounds on unknown functions provide a very useful and important device in the study of many qualitative as well as quantitative properties of solutions of partial ... See full document

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

... new retarded weakly singular integral inequalities with discontinuous functions for two independent ...The inequalities given here can be used in the qualitative analysis of various ... See full document

... such inequalities with singular kernel see ...singular integral inequalities of the Volterra type, and later Ma and Peˇcari´c 9 used this method to study nonlinear inequalities of Henry ... See full document

... type integral inequalities in two independent variables are ...These integral inequalities can be applied as tools to the study of certain class of integral and ... See full document

... equations, integral equa- tions and integro-differential ...type integral inequalities and their generalizations were studied; in [–], the Gronwall-like inequalities and their deformations ... See full document

... The integral inequalities play a fundamental role in the study of existence, uniqueness, boundedness, stability, invariant manifolds, and other qualitative properties of solutions of the theory of di ff ... 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

... with two variables but also extended the constant ‘ c ’ out of integral into a function ‘ a(m, n) ’ ...These inequalities will play an important part in the study on difference ...their ... See full document

... Various applications of this result to the study of stability of the solution of lin- ear and nonlinear differential equations may be found in Bellman ...Numerous applications to existence and ... 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

... new nonlinear retarded Volterra–Fredholm type integral inequalities on time ...known integral inequalities, but also provide a handy and effective tool for the study of ... See full document

... investigates integral inequalities for discontinuous functions with two independent variables involving two nonlinear ... See full document

... The theory of dynamic equations on time scales unifies existing results in differential and finite difference equations and provides powerful new tools for exploring connections between the traditionally separated fields. ... See full document

... This paper investigates integral inequalities with delay for discontinuous functions involving two nonlinear terms. We do not require the classes ℘ and j in Gallo and Piccirillo’s paper ... See full document

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

... some retarded nonlinear integral inequalities, where linear case u(t) in integral functions in [4] is changed into the nonlinear case j(u(t)), and the non-retarded case t ... See full document

... some integral inequalities in two independent variables with delay which can be used as handy tools in the study of certain partial differential equations and integral equations with ... See full document

... fundamental integral inequalities used in the theory of differential and integral equations on time ...type inequalities by extending some continuous inequalities given in ...[15]. ... 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 and ... See full document