Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order
Method of semidiscretization in time for quasilinear integrodifferential equations.
Méthodes multipas pour des équations paraboliques non linéaires.
Metric domains, holomorphic mappings and nonlinear semigroups.
Mild solutions for fractional differential equations with nonlocal conditions.
Mild solutions for semilinear fractional differential equations.
Minimax control of nonlinear evolution equations
In this paper we study the minimax control of systems governed by a nonlinear evolution inclusion of the subdifferential type. Using some continuity and lower semicontinuity results for the solution map and the cost functional respectively, we are able to establish the existence of an optimal control. The abstract results are then applied to obstacle problems, semilinear systems with weakly varying coefficients (e.gȯscillating coefficients) and differential variational inequalities.
Minty variational inequalities and monotone trajectories of differential inclusions.
Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces.
Mixed type semicontinuous differential inclusions in Banach spaces
We consider a class of differential inclusions in (nonseparable) Banach spaces satisfying mixed type semicontinuity hypotheses and prove the existence of solutions for a problem with state constraints. The cases of dissipative type conditions and with time lag are also studied. These results are then applied to control systems.
Modal stabilizability and spectral synthesis
Models of learning and the polar decomposition of bounded linear operators.
Moment sequences and abstract Cauchy problems
We give a new characterization of the solvability of an abstract Cauchy problems in terms of moment sequences, using the resolvent operator at only one point.
Monotone iterative method for semilinear impulsive evolution equations of mixed type in Banach spaces.
Motion with friction of a heavy particle on a manifold - applications to optimization
Let Φ : H → R be a C2 function on a real Hilbert space and ∑ ⊂ H x R the manifold defined by ∑ := Graph (Φ). We study the motion of a material point with unit mass, subjected to stay on Σ and which moves under the action of the gravity force (characterized by g>0), the reaction force and the friction force ( is the friction parameter). For any initial conditions at time t=0, we prove the existence of a trajectory x(.) defined on R+. We are then interested in the asymptotic behaviour of...
Motion with friction of a heavy particle on a manifold. Applications to optimization
Let be a function on a real Hilbert space and the manifold defined by Graph . We study the motion of a material point with unit mass, subjected to stay on and which moves under the action of the gravity force (characterized by ), the reaction force and the friction force ( is the friction parameter). For any initial conditions at time , we prove the existence of a trajectory defined on . We are then interested in the asymptotic behaviour of the trajectories when . More precisely,...
Multiple positive solutions for nonlinear singular third-order boundary value problem in abstract spaces.
Multiple positive solutions to fourth-order singular boundary-value problems in abstract spaces.
Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space.
Multivalued linear operators and differential inclusions in Banach spaces
In this paper, we study multivalued linear operators (MLO's) and their resolvents in non reflexive Banach spaces, introducing a new condition of a minimal growth at infinity, more general than the Hille-Yosida condition. Then we describe the generalized semigroups induced by MLO's. We present a criterion for an MLO to be a generator of a generalized semigroup in an arbitrary Banach space. Finally, we obtain some existence results for differential inclusions with MLO's and various types of multivalued...