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Boundary control of retarded parabolic systems

Krakowiak A.

Control and Cybernetics

2011

Vol. 40, no 1

9-23

Optimal boundary control problems for distributed parabolic systems in which retarded arguments appear in the integral form in the state equations are presented. Necessary and sufficient conditions of optimality are derived for the non-homogeneous Dirichlet problem. A simple example of application is also provided.

Oscillatory solutions of a class of nonlinear impulsive differential equations of first order with retarded argument

Bainov D. D., Dimitrova M. B., Dishliev A. B.

Journal of Applied Analysis

1998

Vol. 4, nr 2

215-230

Sufficient conditions are found for oscillation of all solutions to a class of nonlinear impulsive differential equations of first order with retarded argument and fixed moments of impulse effect.

Oscillatory properties of the solutions of impulsive differential equations with retarded argument and oscillating coefficients

Bainov D. D., Dimitrova M. B., Simeonov P. S.

Journal of Applied Analysis

1998

Vol. 4, nr 1

63-74

The impulsive equation with retarded argument [wzór...] is considered, where the function p(t) and the sequence {pk} are not of constant sign. Sufficient conditions are found for oscillation of all solutions to the equation under consideration.