On the existence of generalized weak solutions to discontinuous fuzzy differential equations
نویسندگان
چکیده
منابع مشابه
Some Remarks on Generalized Solutions of Discontinuous Differential Equations
In this paper we consider several concepts of generalized solutions for ordinary differential equations with a discontinuous right hand side. By means of some nontrivial examples, we show that Sentis solutions, Forward-Euler solutions and Carathéodory solutions are independent notions. AMS Subj. Classification: 34A38
متن کاملOn the Existence of Weak Variational Solutions to Stochastic Differential Equations
We study the existence of weak variational solutions in a Gelfand triplet of real separable Hilbert spaces, under continuity, growth, and coercivity conditions on the coefficients of the stochastic differential equation. The laws of finite dimensional approximations are proved to weakly converge to the limit which is identified as a weak solution. The solution is an H– valued continuous process...
متن کاملExistence of Periodic Solutions for Fuzzy Differential Equations
In this paper, we investigate the existence and calculation of the expression of periodic solutions for fuzzy differential equations with three types of forcing terms, by using Hukuhara derivative. In particular, Theorems 3.2, 4.2 and 5.2 are the results of existences of periodic solutions for fuzzy differential equations ,a andb, respectively. These results will help us to study phenomena wit...
متن کاملON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS
Here we consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section 1. Also we include generalizations of these results to vector differential equations and examinations of some practical examples by numerical simulation, section 2. For some special cases t...
متن کاملExistence of Solutions to Nonlocal Elliptic Equations with Discontinuous Terms
In this article, we study the existence of nonnegative solutions for the elliptic partial differential equation −[M(‖u‖p1,p)] ∆pu = f(x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ RN is a bounded smooth domain, f : Ω×R+ → R is a discontinuous nonlinear function.
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 Nonlinear Sciences and Applications
سال: 2017
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.010.12.12