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Measure valued solutions for systems governed by neutral differential equations on Banach spaces and their optimal control

100%

Ahmed N.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2013

tom 33

nr 1

89-109

In this paper we consider the question of existence of measure valued solutions for neutral differential equations on Banach spaces when there is no mild solutions. We prove the existence of measure solutions and their regularity properties. We consider also control problems of such systems and prove existence of optimal feedback controls for some interesting a-typical control problems.

Linearized comparison criteria for a nonlinear neutral differential equation

100%

Guan X., Cheng S.

Annales Polonici Mathematici

1996

tom 64

nr 2

161-173

A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Ahmed N.

1 Cheng S.

1 Guan X.

1 2013

1 1996

Wyniki wyszukiwania

Measure valued solutions for systems governed by neutral differential equations on Banach spaces and their optimal control

Linearized comparison criteria for a nonlinear neutral differential equation