Generalized functional differential equations: existence and uniqueness of solutions
نویسندگان
چکیده
منابع مشابه
Existence and uniqueness of solutions of stochastic functional differential equations
We provide sufficient conditions on the coefficients of a stochastic functional differential equation with bounded memory driven by Brownian motion which guarantee existence and uniqueness of a maximal local and global strong solution for each initial condition. Our results extend those of previous works. For local existence and uniqueness, we only require the coefficients to be continuous and ...
متن کاملVolterra Functional Differential Equations: Existence, Uniqueness, and Continuation of Solutions
The initial-value problem for a class of Volterra functional differential equations— of sufficient generality to encompass, as special cases, ordinary differential equations, retarded differential equations, integro-differential equations, and hysteretic differential equations— is studied. A self-contained and elementary treatment of this over-arching problem is provided, in which a unifying th...
متن کاملExistence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
...
متن کاملExistence and uniqueness of solutions for impulsive fractional differential equations
In this article, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative.
متن کاملThe Existence and Uniqueness of Solutions to Differential Equations
I expound on a proof given by Arnold on the existence and uniqueness of the solution to a first-order differential equation, clarifying and expanding the material and commenting on the motivations for the various components.
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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2016
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.112