[PDF] Top 20 Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications

... Various singular integral inequalities play an important role in the development of the theory of differential equations, functional differential equations, and integral ...linear ... 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 ... See full document

... 8 H. Sano and N. Kunimatsu, “Modified Gronwall’s inequality and its application to stabilization problem for semilinear parabolic systems,” Systems & Control Letters, vol. 22, no. 2, pp. 145–156, 1994. 9 H. Ye, J. ... See full document

... retarded nonlinear Volterra-Fredholm type in- tegral inequalities with maxima in two independent variables in Theorem ...of integral equations with ...the applications to ... See full document

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

... groups, some nonlinear weakly singular integral inequalities of Wendroff type, which generalize some existing results, are ...a singular partial integral ... See full document

... generalized nonlinear weakly singular retarded Wendroff-type integral inequality with maxima of an unknown function of two ...for some known ...for some singular ... See full document

... of nonlinear weakly singular integral inequalities of Wendroff Type which extend some known weakly singular inequalities for functions in two ... 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

... 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

... Remark 2.11 . If a = 1, we get the Gronwall inequality in two variables (1.2). Theorem 2.12 . Let u, a, and b be nonnegative continuous functions in D and let f be positive and continuous in D. If a/f is ... 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

... Integral inequalities and their various linear and nonlinear generalizations involving con- tinuous or discontinuous functions play very important roles in investigating different qualitative ... 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 inequalities by ... See full document

... investigate some nonlinear integral inequalities with weakly singular kernel which can be used as tools in deriving boundedness of the solutions of certain fractional differential ... See full document

... Some nonlinear discrete weakly singular inequalities, which generalize some known results are ...to nonlinear Volterra-type difference equations are obtained. Two ... See full document

... The integral inequalities which provide explicit bounds on unknown functions play an im- portant role in the development of the theory of differential and integral ...and nonlinear ... See full document

... of nonlinear integral inequalities with the unknown function composed with a given function on the left hand side, more than one distinct nonlinear integrals on its right-hand side, and ... See full document

... fractional integral, we will study the boundedness of a certain FDE with R-L frac- tional operator and E-K fractional ...of two fractional operators are given ... See full document

... the integral inequalities involving functions of one and more than one independent variables which provide explicit bounds on unknown functions play a fundamental role in the development of the ... See full document