Multi-valued perturbations to a couple of differential inclusions governed by maximal monotone operators
نویسندگان
چکیده
This paper concerns the existence of absolutely continuous solutions for a couple evolution problems, governed by time and state dependent maximal monotone operators sweeping process to subsmooth sets, with multi-valued perturbations.
منابع مشابه
Second-order differential equations on R+ governed by monotone operators
Consider in a real Hilbert space H the differential equation (E) : p(t)u′′(t) + q(t)u′(t) ∈ Au(t) + f(t), for a.a. t ∈ R+ = [0,∞), with the condition u(0) = x ∈ D(A), where A : D(A) ⊂ H → H is a maximal monotone operator, with [0, 0] ∈ A (or, more generally, 0 ∈ R(A)); p, q ∈ L∞(R+), with ess inf p > 0 and either ess inf q > 0 or ess sup q < 0; and f : R+ → H is a given function. Recall that eq...
متن کاملHybrid Fixed Point Theory for Right Monotone Increasing Multi-valued Mappings and Neutral Functional Differential Inclusions
In this paper, some hybrid fixed point theorems for the right monotone increasing multi-valued mappings in ordered Banach spaces are proved via measure of noncompactness and they are further applied to the neutral functional nonconvex differential inclusions involving discontinuous multi-functions for proving the existence results under mixed Lipschitz, compactness and right monotonicity condit...
متن کاملMulti-valued Codensing Random Operators and Functional Random Integral Inclusions
In this paper, some random fixed point theorems for continuous and condensing multi-valued random operators are proved and they are further applied to the random integral inclusions for proving the existence of the solutions via the priori bound method.
متن کاملA Characterization of Maximal Monotone Operators
It is shown that a set-valued map M : R ⇒ R is maximal monotone if and only if the following five conditions are satisfied: (i) M is monotone; (ii) M has a nearly convex domain; (iii) M is convex-valued; (iv) the recession cone of the values M(x) equals the normal cone to the closure of the domain of M at x; (v) M has a closed graph. We also show that the conditions (iii) and (v) can be replace...
متن کاملMonotone Invariant Solutions to Differential Inclusions
Let a given set be endowed with a preference preordering, and consider the problem of finding a solution to the differential inclusion A(OeS(*(O) which remains in the given set and evolves monotonically with respect to the preordering. We give sufficient conditions for the existence of such a trajectory, couched in terms of a notion of tangency developed by Clarke. No smoothness or convexity is...
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: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2113369a