On some fundamental partial integral inequalities
نویسندگان
چکیده
منابع مشابه
Some sharp integral inequalities involving partial derivatives
* Correspondence: chjzhao@163. com Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China Full list of author information is available at the end of the article Abstract The main purpose of the present article is to establish some new sharp integral inequalities in 2n independent variables. Our results in special cases yield some of the recent results on Pachpatter, A...
متن کاملOn Some New Impulsive Integral Inequalities
Differential and integral inequalities play a fundamental role in global existence,uniqueness, stability, and other properties of the solutions of various nonlinear differential equations; see 1–4 . A great deal of attention has been given to differential and integral inequalities; see 1, 2, 5–8 and the references given therein. Motivated by the results in 1, 5, 7 , the main purpose of this pap...
متن کاملSome New Integral Inequalities on Time Scales
By introducing two adjusting parameters, we investigate some new nonlinear integral inequalities on time scales, which provide explicit bounds on unknown functions, and can be used as tools in the qualitative theory of certain classes of dynamic equations on time scales. Mathematics subject classification (2010): 26D15, 26E70.
متن کاملMore on Some Hardy Type Integral Inequalities
In 2012, W. T. Sulaiman presented new kinds of Hardy’s integral inequalities. In this paper, we derive some new extensions of the famous Hardy’s integral inequality. The results present direct generalization of the original Hardy inequality. In addition, the corresponding reverse relation is also obtained.
متن کاملExplicit Bounds on Some Nonlinear Integral Inequalities
In this paper, some new nonlinear integral inequalities involving functions of one and two independent variables which provide explicit bounds on unknown functions are established. We also present some of its applications to the qualitative study of retarded differential equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1980
ISSN: 0022-247X
DOI: 10.1016/0022-247x(80)90030-x