Detail publikace

Boundary-value problems for weakly nonlinear delay differential systems

BOICHUK, A. DIBLÍK, J. KHUSAINOV, D. RŮŽIČKOVÁ, M.

Originální název

Boundary-value problems for weakly nonlinear delay differential systems

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

Conditions are derived of the existence of solutions of nonlinear boundary-value problems for systems of $n$ ordinary differential equations with constant coefficients and single delay (in the linear part) and with a finite number of measurable delays of argument in nonlinearity. The use of a delayed matrix exponential and a method of pseudo-inverse by Moore-Penrose matrices led to an explicit and analytical form of sufficient conditions for the existence of solutions in a given space and, moreover, to the construction of an iterative process for finding the solutions of such problems in a general case when the number of boundary conditions does not coincide with the number of unknowns in the differential system with a single delay.

Klíčová slova

Boundary-value problem; r weakly nonlinear delay differential system.

Autoři

BOICHUK, A.; DIBLÍK, J.; KHUSAINOV, D.; RŮŽIČKOVÁ, M.

Rok RIV

2011

Vydáno

1. 8. 2011

ISSN

1085-3375

Periodikum

Abstract and Applied Analysis

Ročník

2011

Číslo

1

Stát

Spojené státy americké

Strany od

1

Strany do

19

Strany počet

19

BibTex

@article{BUT72868,
  author="Alexander {Boichuk} and Josef {Diblík} and Denys {Khusainov} and Miroslava {Růžičková}",
  title="Boundary-value problems for weakly nonlinear delay differential systems",
  journal="Abstract and Applied Analysis",
  year="2011",
  volume="2011",
  number="1",
  pages="1--19",
  issn="1085-3375"
}