On Nonlinear Equations of Evolution in Banach Spaces
On nonlinear, nonconvex evolution inclusions
We consider a nonlinear evolution inclusion driven by an m-accretive operator which generates an equicontinuous nonlinear semigroup of contractions. We establish the existence of extremal integral solutions and we show that they form a dense, -subset of the solution set of the original Cauchy problem. As an application, we obtain “bang-bang”’ type theorems for two nonlinear parabolic distributed parameter control systems.
On nonresonance impulsive functional differential equations with periodic boundary conditions.
On nonresonance impulsive functional nonconvex valued differential inclusions
In this paper a fixed point theorem for contraction multivalued maps due to Covitz and Nadler is used to investigate the existence of solutions for first and second order nonresonance impulsive functional differential inclusions in Banach spaces.
On one-sided estimates for row-finite systems of ordinary differential equations
We prove an existence and uniqueness theorem for row-finite initial value problems. The right-hand side of the differential equation is supposed to satisfy a one-sided matrix Lipschitz condition with a quasimonotone row-finite matrix which has an at most countable spectrum.
On Peano's theorem in locally convex spaces
On positive solutions of functional-differential equations in Banach spaces.
On second order boundary value problems for functional differential inclusions in Banach spaces
We investigate the existence of solutions on a compact interval to second order boundary value problems for a class of functional differential inclusions in Banach spaces. We rely on a fixed point theorem for condensing maps due to Martelli.
On second order discontinuous differential equations in Banach spaces.
On second-order multivalued impulsive functional differential inclusions in Banach spaces.
On semilinear evolution equations in Banach spaces.
On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities.
On Some Classes Of Differential Equations
On some classes of differential equations.
On the "bang-bang" principle for nonlinear evolution inclusions.
On the Cauchy Problem Concerning Nonlinear Delay Funtional Differential Equations in a Banach Space
On the correct formulation of a nonlinear differential equation in Banach spaces.
On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics.
On the discretization of a partial differential equation in the neighborhood of a periodic orbit.
On the discretization of degenerate sweeping processes.