On integral inclusions of Volterra type in Banach spaces
On Ishlinskij's model for non-perfectly elastic bodies
The main goal of the paper is to formulate some new properties of the Ishlinskii hysteresis operator , which characterizes e.g. the relation between the deformation and the stress in a non-perfectly elastic (elastico-plastic) material. We introduce two energy functionals and derive the energy inequalities. As an example we investigate the equation describing the motion of a mass point at the extremity of an elastico-plastic spring.
On Lipschitz conditions for ordinary differential equations in Fréchet spaces
We will give an existence and uniqueness theorem for ordinary differential equations in Fréchet spaces using Lipschitz conditions formulated with a generalized distance and row-finite matrices.
On Max Muller's existence-comparison theorem for infinite systems of ordinary differential equations
On measures of noncompactness in Banach spaces
On measures of noncompactness in topological vector spaces
On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spaces.
On nonconvex functional evolution inclusions involving -dissipative operators
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.