论文信息 - A nonlinear generalization of Bihari’s inequality

A nonlinear generalization of Bihari’s inequality

The aim of the present note is to prove a nonlinear generalization of the well-known integral inequality due to Bihari. This generalization is useful in obtaining pointwise estimates of solutions of nonlinear Volterra integral equations.

S. Deo | U. D. Dhongade

[1] I. Bihari. Researches of the boundedness and stability of the solutions of non-linear differential equations , 1957 .

[2] D. Willett,et al. A linear generalization of Gronwall’s inequality , 1965 .

[3] Fred Brauer,et al. Perturbations of nonlinear systems of differential equations, IV , 1966 .

[4] S. Deo,et al. Some generalizations of Bellman-Bihari integral inequalities , 1973 .

[5] S. Deo,et al. Pointwise estimates of solutions of some volterra integral equations , 1974 .

[6] B. G Pachpatte. Perturbations of nonlinear systems of differential equations , 1975 .