EXPLICIT BOUNDS ON SOME NEW NONLINEAR RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
نویسندگان
چکیده
منابع مشابه
On Some New Retarded Nonlinear Integral Inequalities and Their Applications
In this paper we present some new generalized retarded nonlinear integral inequalities of Gronwall-Bellman type. Using integral and differential skills, some new results which provide explicit bounds on unknown functions in integral inequalities are investigated. Some applications are also presented to illustrate the usefulness of some of our results.
متن کاملExplicit Bounds on Some Nonlinear Retarded Integral Inequalities
In this paper some new retarded integral inequalities are established and explicit bounds on the unknown functions are derived. The present results extend some existing ones proved by Lipovan in [A retarded integral inequality and its applications, J. Math. Anal. Appl. 285 (2003) 436-443].
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 کاملOn Some New Nonlinear Retarded Integral Inequalities with Iterated Integrals and Their Applications
Some new nonlinear retarded integral inequalities of Gronwall-like type are established, which mainly generalized some results given by Cho, Dragomir and Kim (J. Korean Math. Soc. 43 (2006), No. 3, pp. 563–578) and can be used in the analysis of various problems in the theory of certain classes of differential equations and integral equations. Applications examples are also indicated.
متن کاملExplicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of certain classes of singular differential equations and singular impu...
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: Taiwanese Journal of Mathematics
سال: 2009
ISSN: 1027-5487
DOI: 10.11650/twjm/1500405284