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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...
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...