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On nonlinear, nonconvex evolution inclusions

100%

Papageorgiou N.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1995

tom 15

nr 1

29-42

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, $G_δ$-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.

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Extremal solutions for nonlinear neumann problems

84%

Fiacca A., Servadei R.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2001

tom 21

nr 2

191-206

In this paper, we study a nonlinear Neumann problem. Assuming the existence of an upper and a lower solution, we prove the existence of a least and a greatest solution between them. Our approach uses the theory of operators of monotone type together with truncation and penalization techniques.

Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses

84%

Abbas S., Benchohra M., Abdalla Darwish M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2016

tom 36

nr 2

155-179

In this paper, we use the upper and lower solutions method combined with a fixed point theorem for multivalued maps in Banach algebras due to Dhage for investigations of the existence of solutions of a class of discontinuous partial differential inclusions with not instantaneous impulses. Also, we study the existence of extremal solutions under Lipschitz, Carath´eodory and certain monotonicity conditions

Ograniczanie wyników

3 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Abbas S.

1 Abdalla Darwish M.

1 Benchohra M.

1 Fiacca A.

1 Papageorgiou N.

1 Servadei R.

1 2016

1 2001

1 1995

Wyniki wyszukiwania

On nonlinear, nonconvex evolution inclusions

Extremal solutions for nonlinear neumann problems

Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses