Some Pachpatte type inequalities on time scales
نویسندگان
چکیده
منابع مشابه
Pachpatte Inequalities on Time Scales
In the study of dynamic equations on time scales we deal with certain dynamic inequalities which provide explicit bounds on the unknown functions and their derivatives. Most of the inequalities presented are of comparison or Gronwall type and, more specifically, of Pachpatte type.
متن کاملSome New Pachpatte Type Inequalities on Time Scales and Their Applications
The aim of this paper is to establish some new Pachpatte type inequalities on time scales, which provide explicit bounds on unknown functions. Our results extend some known Pachpatte inequalities on times scales, unify and extend some continuous inequalities and their corresponding discrete analogues. The inequalities given here can be used as tools in the qualitative theory of certain differen...
متن کاملSome Opial-Type Inequalities on Time Scales
and Applied Analysis 3 where r t is positive and continuous function with ∫X a dt/r t < ∞, and if x b 0, then ∫b X |x t |∣∣x′ t ∣∣dt ≤ 1 2 ∫b
متن کاملSome New Inequalities Similar to Hilbert-pachpatte Type Inequalities
In this paper, some new inequalities similar to Hilbert-Pachpatte type inequalities are given.
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: Computers & Mathematics with Applications
سال: 2009
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.09.040