Darboux Problem with a Discontinuous Right-Hand Side
نویسندگان
چکیده
منابع مشابه
Implicit integral equations with discontinuous right-hand side
We consider the integral equation h(u(t)) = f R I g(t, x)u(x) dx , with t ∈ [0, 1], and prove an existence theorem for bounded solutions where f is not assumed to be continuous.
متن کاملNon-autonomous implicit integral equations with discontinuous right-hand side
We deal with the implicit integral equation
متن کاملVector integral equations with discontinuous right - hand side
We deal with the integral equation u(t) = f( R I g(t, z)u(z) dz), with t ∈ I = [0, 1], f : R → R and g : I×I → [0,+∞[. We prove an existence theorem for solutions u ∈ L(I,R) where the function f is not assumed to be continuous, extending a result previously obtained for the case n = 1.
متن کاملNon-autonomous vector integral equations with discontinuous right-hand side
We deal with the integral equation u(t) = f(t, R I g(t, z)u(z) dz), with t ∈ I := [0, 1], f : I × R → R and g : I × I → [0,+∞[. We prove an existence theorem for solutions u ∈ L(I,R), s ∈ ]1,+∞], where f is not assumed to be continuous in the second variable. Our result extends a result recently obtained for the special case where f does not depend explicitly on the first variable t ∈ I.
متن کاملOn the averaging of differential inclusions with Fuzzy right hand side with the average of the right hand side is absent
In this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist.
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 Applied Analysis
سال: 2006
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa.2006.145