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Extremal solutions for nonlinear neumann problems

100%

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.

On the existence of solutions for nonlinear impulsive periodic viable problems

100%

Cardinali T., Servadei R.

Open Mathematics

2004

tom 2

nr 4

573-583

In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type x′(t)∈F(t,x(t))+G(t,x(t)). Our existence theorems extend, in a broad sense, some propositions proved in [10] and improve a result due to Hristova-Bainov in [13].

Ograniczanie wyników

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Open Mathematics

2 Servadei R.

1 Cardinali T.

1 Fiacca A.

1 2004

1 2001

Wyniki wyszukiwania

Extremal solutions for nonlinear neumann problems

On the existence of solutions for nonlinear impulsive periodic viable problems