Boundary value problems for systems of linear functional differential equations

Autor: Kiguradze, Ivan, Půža, Bedřich a Masarykova univerzita
Rok: 2003
ISBN: 9788021031067
NKP-CNB: cnb001255905
OCLC Number: (OCoLC)53338086
OKCZID: 110353262
Vydání: 1st ed.

Citace (dle ČSN ISO 690):
KIGURADZE, Ivan. Boundary value problems for systems of linear functional differential equations. 1st ed. Brno: Masaryk University, 2003. 108 s. Folia Facultatis scientiarium naturalium Universitatis Masarykianae Brunensis. Mathematica, 12.

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	Moravská zemská knihovna v Brně (dostupné pouze v této knihovně)
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Anotace

For systems of linear functional differential equations (L FDE) we investigate the boundary value problems (BVP) both on a finite interval and on the real axis. We consider on a finit interval the BVPs for general system of L FDE and for system of linear ordinary differential equations with deviating argument (L ODE with DA): the Fredholmity and representation of solutions by Greens formula, the sign properties of a solution and prove the theorems of differential inequalities, the optimal, in a certain sense, conditions for the unique solvability (all the results are concretized for the initial, multi-point and periodic problems), the teorems on the well-possedness of above problems. For systems of L FDE and ODE with DA we consider the problems on existence of a periodic solution with a prescribed period and existence and unique existence of a bounded solution.

Zdroj anotace: OKCZ - ANOTACE Z WEBU