论文信息 - On Some New Integral Inequalities for Functions in One and Two Variables

On Some New Integral Inequalities for Functions in One and Two Variables

AbstractIn this paper, we consider a bound on a general version of the integral inequalities for functions and also study the qualitative behavior of the solutions of certain classes of the hyperbolic partial delay differential equations under the integral inequalities.

Young-Ho Kim

[1] B. G. Pachpatte,et al. Explicit bounds on certain integral inequalities , 2002 .

[2] D. Bainov,et al. Integral Inequalities and Applications , 1992 .

[3] B. G. Pachpatte,et al. Inequalities for differential and integral equations , 1998 .

[4] Milan Medvei. Nonlinear Singular Integral Inequalities for Functions in Two and n Independent Variables , 2000 .

[5] A. Constantin. NOTE: Monotone Iterative Technique for a Nonlinear Integral Equation☆ , 1997 .

[6] R. Bellman. The stability of solutions of linear differential equations , 1943 .

[7] B. G. Pachpatte. On Some New Inequalities Related to Certain Inequalities in the Theory of Differential Equations , 1995 .

[8] T. H. Gronwall. Note on the Derivatives with Respect to a Parameter of the Solutions of a System of Differential Equations , 1919 .

[9] D. S. Mitrinovic,et al. Classical and New Inequalities in Analysis , 1992 .

[10] I. Bihari. A generalization of a lemma of bellman and its application to uniqueness problems of differential equations , 1956 .

[11] Olivia Lipovan. A Retarded Gronwall-Like Inequality and Its Applications , 2000 .