On accretive multivalued mappings in Banach spaces
On bounded solutions of one-dimensional compressible Navier-Stokes equations
On the asymptotic behaviour of nonlinear contraction semigroups.
On the continuous dependence of the fixed points for -contractive-type operators
On the generalized strongly nonlinear implicit quasivariational inequalities for set-valued mappings.
On the Mann and Ishikawa iteration processes.
On the solution set of a two point boundary value problem.
On the strongly damped wave equation and the heat equation with mixed boundary conditions.
On weak solutions of functional-differential abstract nonlocal Cauchy problems
The existence, uniqueness and asymptotic stability of weak solutions of functional-differential abstract nonlocal Cauchy problems in a Banach space are studied. Methods of m-accretive operators and the Banach contraction theorem are applied.
Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems
The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional (distributed parameter) Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution is obtained via a related matrix Riccati differential...