In the qualitative analysis of differential equation integral inequalities play a vital role. An inequality due toGronwall continuous to draw the attention of mathematicianm because of its usefulness. The nonlinear ge...In the qualitative analysis of differential equation integral inequalities play a vital role. An inequality due toGronwall continuous to draw the attention of mathematicianm because of its usefulness. The nonlinear generalization of this inequality due to Bihari is as follow: Lemma Let u (x), a (x) be non-negative continuous functiom in 0≤x≤X and k≥0, further g(s) a non-negative non-decreasing continuous function for s≥0 and g (s) >0 for s>0. Then the展开更多
文摘In the qualitative analysis of differential equation integral inequalities play a vital role. An inequality due toGronwall continuous to draw the attention of mathematicianm because of its usefulness. The nonlinear generalization of this inequality due to Bihari is as follow: Lemma Let u (x), a (x) be non-negative continuous functiom in 0≤x≤X and k≥0, further g(s) a non-negative non-decreasing continuous function for s≥0 and g (s) >0 for s>0. Then the
