On first-order differential operators with Bohr-Neugebauer type property.
On fourth-order boundary-value problems
We show the existence of solutions to a boundary-value problem for fourth-order differential inclusions in a Banach space, under Lipschitz’s contractive conditions, Carathéodory conditions and lower semicontinuity conditions.
On generalized differential equations in Banach spaces [Book]
On granular derivatives and the solution of a granular initial value problem
Perceptions about function changes are represented by rules like “If X is SMALL then Y is QUICKLY INCREASING.” The consequent part of a rule describes a granule of directions of the function change when X is increasing on the fuzzy interval given in the antecedent part of the rule. Each rule defines a granular differential and a rule base defines a granular derivative. A reconstruction of a fuzzy function given by the granular derivative and the initial value given by the rule is similar to Euler’s...
On Hadamard's concepts of correctness
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 -quasi-derivatives for solutions of perturbed general quasi-differential equations
This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of th order with complex coefficients , provided that all th quasi-derivatives of solutions of and all solutions of its normal adjoint are in and under suitable conditions on the function .
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 local -times integrated -semigroups.
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 nonautonomous second-order differential equations on Banach space.
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.