Floquet Boundary Value Problems for Differential Inclusions: a Bound Sets Approach
نویسندگان
چکیده
منابع مشابه
On Systems of Boundary Value Problems for Differential Inclusions
Herein we consider the existence of solutions to second-order, two-point boundary value problems (BVPs) for systems of ordinary differential inclusions. Some new Bernstein Nagumo conditions are presented that ensure a priori bounds on the derivative of solutions to the differential inclusion. These a priori bound results are then applied, in conjunction with appropriate topological methods, to ...
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 کاملNeumann Boundary Value Problems for Impulsive Differential Inclusions
where F : [0, 1]×R → P(R) is a compact valued multivalued map, P(R) is the family of all subsets of R, k ∈ (0, π 2 ), 0 < t1 < t2 < . . . < tm < 1, Ik ∈ C(R,R) (k = 1, 2, . . . , m), ∆x|t=tk = x(t + k )− x(t − k ), x(t + k ) and x(t − k ) represent the right and left limits of x(t) at t = tk respectively, k = 1, 2, . . . , m. In the literature there are few papers dealing with the existence of ...
متن کاملBounded Solutions of Carathéodory Differential Inclusions: a Bound Sets Approach
We will always consider a Carathéodory set-valued map F : R×RN RN with nonempty, compact, and convex values. We recall that F is said to be a Carathéodory multifunction if F(·,x) is measurable for each x ∈ RN , and F(t,·) is upper semicontinuous for almost all (a.a.) t ∈ R. For the definitions of these standard notions, see, for example, [30]. Our main result is Theorem 4.2. It states the exist...
متن کاملAsymptotic Boundary Value Problems for Evolution Inclusions
When solving boundary value problems on infinite intervals, it is possible to use continuation principles. Some of these principles take advantage of equipping the considered function spaces with topologies of uniform convergence on compact subintervals. This makes the representing solution operators compact (or condensing), but, on the other hand, spaces equipped with such topologies becomemor...
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: Zeitschrift für Analysis und ihre Anwendungen
سال: 2001
ISSN: 0232-2064
DOI: 10.4171/zaa/1040