A generalized nonlinear Volterra-Fredholm type integral inequality and its application. (English) Zbl 1442.26037

Summary: We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques. Moreover, an application of our result to the retarded Volterra-Fredholm integral equations for estimation is given.


26D15 Inequalities for sums, series and integrals
45B05 Fredholm integral equations
45D05 Volterra integral equations
Full Text: DOI


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