[PDF] Top 20 Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

... of nonlinear inequalities of Henry-type, which generalized some known results and were used as handy and effective tools in the study of the solutions’ boundedness of some fractional ... See full document

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

... discussed the linear case ω(ξ ) = ξ of the two inequalities above and obtained the estimate of the solution. Furthermore, Medveď [, ] studied the general nonlinear case. How- ever, his results are based ... See full document

... In the past few years, many scholars have extended the Gronwall–Bellman inequality and applied it to many aspects. There can be found many generalizations and analogs of it in various cases from literature (see [3–6]). ... See full document

... such inequalities are studied by an iteration argument, and the estimation formulas are expressed by a complicated power series which are some- times not very convenient for ...a new method for ... See full document

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

... have to introduce novel techniques and results to overcome the difficult from the weakly singular kernels and nonlinear terms h and g. For example, the first important step is how to construct a ... 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

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

... and integral equations, by estimating the unknown function in the integral in- equality of the discontinuous functions, Some properties of the solution of some impulsive differential equations ... See full document

... The Gronwall-Bellman inequality [, ] is an important tool in the study of existence, uniqueness, boundedness, stability, invariant manifolds, and other qualitative properties of solutions of differential equations and ... See full document

... which came from the study of a global existence and an exponential decay result for a parabolic Cauchy problem by Henry []. Ma and Pečarić [] used the modification of Medveď’s method [] to study some ... See full document

... Some nonlinear weakly singular integral inequalities in two variables which generalize some known results are ...equations, integral equations, and evolution ... See full document

... of integral equations and differential equations. Some linear and nonlinear gen- eralizations ...equations, integral inequalities with weakly singular kernels have ... See full document

... () In this section, based on the definition of Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral, we will study the boundedness of a certain FDE with R-L frac- tional operator and E-K fractional ... 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

... In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces.. A random Hammerstein integral eq[r] ... See full document

... its integral version are obtained by Pachpatte, Handley et ...of inequalities was provided by Yang and Rassias (see ...a new Hilbert-type inequality and its integral version as ... See full document