Differential inequalities and differential games
نویسندگان
چکیده
منابع مشابه
Random differential inequalities and comparison principles for nonlinear hybrid random differential equations
In this paper, some basic results concerning strict, nonstrict inequalities, local existence theorem and differential inequalities have been proved for an IVP of first order hybrid random differential equations with the linear perturbation of second type. A comparison theorem is proved and applied to prove the uniqueness of random solution for the considered perturbed random differential eq...
متن کاملNotes on Differential Equations and Differential Inequalities
The following Lemma gives conditions for the existence of a solution of a differential equation which is bounded on the domain R. Lemma 1.1. Given real numbers a < b, if f : (a, b) → R is a continuous, nonvanishing function, and there are some constants C1 > 0, C2 > 0, δ1 ∈ (0, b − a), δ2 ∈ (0, b − a) so that |f(t)| ≤ C1(t − a) for a < t < a + δ1 and |f(t)| ≤ C2(b − t) for b − δ2 < t < b, then ...
متن کاملDifferential Games
In this paper, we shall give a brief account of the main ideas in the theory of differential games. Our presentation will be limited to two player, zero sum, differential games, except for a few words regarding the situations where there are more than two players or where the game is not zero sum. To begin with, recall the game formulation when there are two players, I and II. The actions (stra...
متن کاملDifferential Inequalities for Hybrid Fractional Differential Equations
In this paper, some basic fractional differential inequalities for a finite system of an IVP of hybrid fractional differential equations with linear perturbations of second type are proved. An existence and a comparison theorem for the considered hybrid fractional differential have also been established.
متن کاملDifferential variational inequalities
This paper introduces and studies the class of differential variational inequalities (DVIs) in a finite-dimensional Euclidean space. The DVI provides a powerful modeling paradigm for many applied problems in which dynamics, inequalities, and discontinuities are present; examples of such problems include constrained time-dependent physical systems with unilateral constraints, differential Nash g...
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: 1973
ISSN: 0022-247X
DOI: 10.1016/0022-247x(73)90224-2