On the equation in Banach spaces
On the equation in Banach spaces
On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem
We prove existence and uniqueness of classical solutions for an incomplete second-order abstract Cauchy problem associated with operators which have polynomially bounded resolvent. Some examples of differential operators to which our abstract result applies are also included.
On the existence of bounded solutions of differential equations in Banach spaces
On the existence of continuous solutions of operator equations in Banach spaces
On the existence of monotone solutions for second-order non-convex differential inclusions in infinite dimensional spaces.
On the existence of one-signed periodic solutions of some differential equations of second order
We study the existence of one-signed periodic solutions of the equations where , is continuous and 1-periodic, is a continuous and 1-periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used.
On the existence of optimal controls for nonlinear infinite dimensional systems
We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.
On the existence of solutions for a class of first-order differential equations.
On the existence of solutions for a higher order differential inclusion without convexity.
On the existence of solutions of boundary-value problems for elastic-inelastic solids
On the existence of solutions of differential equations of retarded type in a Banach space
On the existence of solutions of operator-differential equations
On the explicit solution of a linear first order Cauchy problem with distributional coefficients.
On the formulation of the traction problem for the flow theory of plasticity
On the method of upper and lower solutions in abstract cones
On the mild solutions of higher-order differential equations in Banach spaces.
On the operator equation with unbounded operators , , and .
On the Perron problem for the exponential dichotomy of -semigroups.
On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type
In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.