On optimal control of systems with interface side conditions
Linear integral equations in the space of regulated functions.
Construction of non-constant lower and upper functions for impulsive periodic problems.
Differential and Integral Equations
Nonlinear systems of differential inequalities and solvability of certain boundary value problems.
Nonmonotone impulse effects in second-order periodic boundary value problems.
The normal form and the stability of solutions of a system of differential equations in the complex domain
Linear boundary value type problems for functional-differential equations and their adjoints
Note on functional-differential equations with initial functions of bounded variation
Correction and addition to my paper “The normal form and the stability of solutions of a system of differential equations in the complex domain”
Regulated functions and the Perron-Stieltjes integral
Fredholm-Stieltjes integral equations with linear constraints: duality theory and Green's function
Boundary value problems for generalized linear integrodifferential equations with left-continuous solutions
Boundary value problems for linear generalized differential equations and their adjoints
Linear distributional differential equations of the second order
The paper deals with the linear differential equation (0.1) with distributional coefficients and solutions from the space of regulated functions. Our aim is to get the basic existence and uniqueness results for the equation (0.1) and to generalize the known results due to F. V. Atkinson [At], J. Ligeza [Li1]-[Li3], R. Pfaff ([Pf1], [Pf2]), A. B. Mingarelli [Mi] as well as the results from the paper [Pe-Tv] concerning the equation (0.1).
Generalized differential equations in the space of regulated functions (boundary value problems and controllability)
Boundary value problems for generalized linear differential equations and the corresponding controllability problems are dealt with. The adjoint problems are introduced in such a way that the usual duality theorems are valid. As a special case the interface boundary value problems are included. In contrast to the earlier papers by the author the right-hand side of the generalized differential equations as well as the solutions of this equation can be in general regulated functions (not necessarily...
Linear integral equations in the space of regulated functions
n this paper we investigate systems of linear integral equations in the space of -vector valued functions which are regulated on the closed interval (i.e. such that can have only discontinuities of the first kind in ) and left-continuous in the corresponding open interval In particular, we are interested in systems of the form x(t) - A(t)x(0) - 01B(t,s)[d x(s)] = f(t), where , the columns of the -matrix valued function belong to , the entries of have a bounded variation on for any...
Boundary value problems for generalized linear differential equations
On the generalized linear ordinary differential equation
General boundary value problem for an integrodifferential system and its adjoint (continuation)
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