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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].

Quasilinearization for the periodic boundary value problem for hybrid differential equation

84%

Hall L., Hristova S.

Open Mathematics

2004

tom 2

nr 2

250-259

The method of quasilinearization for a periodic boundary value problem for nonlinear hybrid differential equations is studied. It is shown that the convergence is quadratic.

The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension

67%

Samoilenko A., Prykarpatsky Y., Prykarpatsky A.

Open Mathematics

2005

tom 3

nr 3

529-557

The differential-geometric and topological structure of Delsarte transmutation operators and their associated Gelfand-Levitan-Marchenko type eqautions are studied along with classical Dirac type operator and its multidimensional affine extension, related with selfdual Yang-Mills eqautions. The construction of soliton-like solutions to the related set of nonlinear dynamical system is discussed.

Ograniczanie wyników

3 Open Mathematics

1 Cardinali T.

1 Hall L.

1 Hristova S.

1 Prykarpatsky A.

1 Prykarpatsky Y.

1 Samoilenko A.

1 Servadei R.

1 2005

2 2004

Wyniki wyszukiwania

On the existence of solutions for nonlinear impulsive periodic viable problems

Quasilinearization for the periodic boundary value problem for hybrid differential equation

The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension