Ferreira, R. A. C.; Torres, D. F. M. Some linear and nonlinear integral inequalities on time scales in two independent variables. (English) Zbl 1180.26020 Nonlinear Dyn. Syst. Theory 9, No. 2, 161-169 (2009). Summary: We establish some linear and nonlinear integral inequalities of Gronwall-Bellman-Bihari type for functions with two independent variables on general time scales. The results are illustrated with examples, obtained by fixing the time scales to concrete ones. An estimation result for the solution of a partial delta dynamic equation is given as an application. Cited in 1 ReviewCited in 16 Documents MSC: 26E70 Real analysis on time scales or measure chains 26D15 Inequalities for sums, series and integrals 45K05 Integro-partial differential equations 93C70 Time-scale analysis and singular perturbations in control/observation systems Keywords:integral inequalities; Gronwall-Bellman-Bihari inequalities; time scales; two independent variables PDFBibTeX XMLCite \textit{R. A. C. Ferreira} and \textit{D. F. M. Torres}, Nonlinear Dyn. Syst. Theory 9, No. 2, 161--169 (2009; Zbl 1180.26020) Full Text: arXiv