On the Nonoscillatory Properties of Solutions of a Functional Differential Equation
On the question of enclosing solutions of linear functional-differential systems.
On the relation of delay equations to first-order hyperbolic partial differential equations
This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of systems (among them converse Lyapunov results). The proposed framework can allow the study of discontinuous solutions for nonlinear systems described by a single first-order hyperbolic partial differential equation under the effect of measurable inputs acting on...
On the solution of differential equations with delayed and advanced arguments.
On the solvability of the weighted initial value problem for high-order evolution singular functional-differential equations.
On the structure of the solution set of a functional-differential system on an unbounded interval
It is proved that under some conditions the set of all solutions of an initial value problem for -th order functional differential system on an unbounded interval is a compact .
On the terminal value problem for differential equations with deviating arguments
On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides
It is proved that nonincreasing and satisfying the Volterra condition right-hand side of a functional differential equation does not guarantee the uniqueness of solutions.
On the uniqueness of solutions to the weighted initial value problem for higher-order evolution singular functional-differential equations.
On time transformations for differential equations with state-dependent delay
Systems of differential equations with state-dependent delay are considered. The delay dynamically depends on the state, i.e. is governed by an additional differential equation. By applying the time transformations we arrive to constant delay systems and compare the asymptotic properties of the original and transformed systems.
On transformations of differential equations and systems with deviating argument
On transformations of functional-differential equations
The paper contains applications of Schrőder’s equation to differential equations with a deviating argument. There are derived conditions under which a considered equation with a deviating argument intersecting the identity can be transformed into an equation with a deviation of the form . Moreover, if the investigated equation is linear and homogeneous, we introduce a special form for such an equation. This special form may serve as a canonical form suitable for the investigation of oscillatory...
On transformations of functional-differential equations
On zero points of solutions of the -th order non-linear delay differential equation
Original title unknown
Oscillation theorems for second order nonlinear differential equations with deviating arguments.
Oscillatory properties of solutions of impulsive differential equations with several retarded arguments.