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S. K. Ntouyas, Boundary Value Problems for First Order Impulsive Differential Inclusions
Boundary value problem impulsive periodic antiperiodic differential inclusions fixed point
2009/6/16
In this paper, we investigate the existence of solutions for a class of first order boundary
value problems for impulsive differential inclusions. By using suitable fixed point
theorems, we study ...
Measure-Differential Inclusions in Percussional Dynamics
Particle dynamics normal percussions bounded variation measure-differential inclusions
2009/2/5
We give an existence result for the dynamics of a system of particles moving on a line in a horizontal plane and subjected to friction, to percussional effects, to stiffness and to damping. The novelt...
On the Second-Order Contingent Set and Differential Inclusions
Continuous multifunctions compact multifunctions contingent cone second-order contingent set
2009/1/13
In this paper, we establish the existence of solutions of a nonconvex second order differential inclusion of the following type:
\stackrel{..}{x}(t)\in F(x(t), \stackrel{.}{x}(t)) \text{ a.e, } x(0)...
NONLINEAR IMPULSIVE DIFFERENTIAL INCLUSIONS WITH INTEGRAL BOUNDARY CONDITIONS
Impulsive differential inclusion integral boundary conditions selection upper semicontinuity lower semicontinuity fixed point
2008/11/26
In this paper we investigate the existence of solutions for nonlinear boundary value
problems for second order impulsive differential inclusions with integral boundary
conditions. The both case of c...
Lower and Upper Solutions Method for First Order Differential Inclusions with Nonlinear Boundary Conditions
Initial value problem Convex multivalued map Differential inclusions Nonlinear boundary conditions Condensing map Fixed point Truncation map Upper and lower solutions
2008/7/1
In this paper a fixed point theorem for condensing maps combined with upper and lower solution are used to investigate the existence of solutions of first order differential inclusions with general no...
Minty Variational Inequalities and Monotone Trajectories of Differential Inclusions
Minty variational inequalities differential inclusions monotone trajectories slow solutions
2008/6/30
In [8] the notion of ``projected differential equation'' has been introduced and the stability of solutions has been studied by means of Stampacchia type variational inequalities. More recently, in [2...
A Filippov Type Existence Theorem for a Class of Second-Order Differential Inclusions
Differential inclusion Measurable selection Solution set
2010/1/25
We prove a Filippov-Gronwall type inequality for solutions of a nonconvex second-order differential inclusion of Sturm-Liouville type.
Existence Results for Functional Differential Inclusions with Infinite Delay
functional differential inclusion phase space infinite delay measure of noncompactness
2007/12/12
The aim of the present paper is to investigate the existence of solutions to functional differential inclusions with infinite delay in Banach spaces. A relevant set of phase space axioms is proposed. ...
Existence Theorems for Periodic Differential Inclusions in I\!R$^{\hbox{$^N$}}$
Differential inclusion multifunction upper and lower semicontinuity extremal periodic solution Schauder fixed point theorem property $\ssize {\mathcal{U}}$ weak norm Hartman condition
2007/12/11
We study the periodic problem for differentialinclusions in $\ssize \Bbb{R}^N$. First we look for extremalperiodic solutions. Using techniques from multivalued analysis anda fixed point argument we es...
On Systems of Boundary Value Problems for Differential Inclusions
boundary value problem systems of differential inclusions existence of solutions a priori bounds Bernstein--Nagumo condition
2007/12/11
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 prese...