Random differential inclusions in Banach spaces
نویسندگان
چکیده
منابع مشابه
Semilinear nonlocal differential inclusions in Banach spaces
This paper is concerned with the existence of mild solutions to a class of semilinear differential inclusions with nonlocal conditions. By using the fixed point theory for multivalued maps, we get some general results on nonlocal differential inclusions, which include some recent results on nonlocal problems as special cases. An example of partial differential equations is provided to illustrat...
متن کاملDifferential Inclusions with Constraints in Banach Spaces
The paper provides topological characterization for solution sets of differential inclusions with (not necessarily smooth) functional constraints in Banach spaces. The corresponding compactness and tangency conditions for the right hand-side are expressed in terms of the measure of noncompactness and the Clarke generalized gradient, respectively. The consequences of the obtained result generali...
متن کاملBoundary Value Problems for Fractional Differential Inclusions in Banach Spaces
This paper is concerned with the existence of solutions of nonlinear fractional differential inclusions with boundary conditions in a Banach space. The main result is obtained by using the set-valued analog of Mönch fixed point theorem combined with the Kuratowski measure of noncompactness. Mathematics subject classification (2010): 26A33, 34A60, 34B15.
متن کاملNonresonance Problems for Differential Inclusions in Separable Banach Spaces
Let X be a real separable Banach space. The boundary value problem x′ ∈ A(t)x + F (t, x), t ∈ R+, Ux = a, (B) is studied on the infinite interval R+ = [0,∞). Here, the closed and densely defined linear operator A(t) : X ⊃ D(A)→ X, t ∈ R+, generates an evolution operator W (t, s). The function F : R+×X → 2X is measurable in its first variable, upper semicontinuous in its second and has weakly co...
متن کاملGeneralized Baire Category and Differential Inclusions in Banach Spaces
where F is a Hausdorff continuous multifunction with closed, bounded values. In this paper we prove the local existence of a solution of (1.1 ), assuming that the convex closure of F(x,,) has finite codimension. More precisely, we assume the existence of a closed affine subspace E, G E with finite codimension, such that the interior of E. n E6 F(x,) relative to E,, is nonempty. Two special case...
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 Differential Equations
سال: 1986
ISSN: 0022-0396
DOI: 10.1016/0022-0396(86)90021-5