Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications
نویسندگان
چکیده
Various singular integral inequalities play an important role in the development of the theory of differential equations, functional differential equations, and integral equations. For example, Henry 1 proposed a linear integral inequality with singular kernel to investigate some qualitative properties for a parabolic differential equation, and Sano and Kunimatsu 2 gave a modified version of Henry type inequality. However, such results are expressed by a complicated power series which are sometimes inconvenient for their applications. To avoid the shortcoming of these results, Medveď 3 presented a new method to discuss nonlinear singular integral inequalities of Henry type and their Bihari version as follows:
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