Solvability of a periodic type boundary value problem for first order scalar functional differential equations

Robert Hakl; Alexander Lomtatidze; Jiří Šremr

Archivum Mathematicum (2004)

  • Volume: 040, Issue: 1, page 89-109
  • ISSN: 0044-8753

Abstract

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Nonimprovable sufficient conditions for the solvability and unique solvability of the problem u ' ( t ) = F ( u ) ( t ) , u ( a ) - λ u ( b ) = h ( u ) are established, where F : → is a continuous operator satisfying the Carathèodory conditions, h : → R is a continuous functional, and λ ∈ .

How to cite

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Hakl, Robert, Lomtatidze, Alexander, and Šremr, Jiří. "Solvability of a periodic type boundary value problem for first order scalar functional differential equations." Archivum Mathematicum 040.1 (2004): 89-109. <http://eudml.org/doc/249311>.

@article{Hakl2004,
abstract = {Nonimprovable sufficient conditions for the solvability and unique solvability of the problem \[ u^\{\prime \}(t)=F(u)(t)\,,\qquad u(a)-\lambda u(b)=h(u) \] are established, where $F:\rightarrow $ is a continuous operator satisfying the Carathèodory conditions, $h:\rightarrow R$ is a continuous functional, and $\lambda \in $.},
author = {Hakl, Robert, Lomtatidze, Alexander, Šremr, Jiří},
journal = {Archivum Mathematicum},
keywords = {functional differential equation; periodic type boundary value problem; solvability; unique solvability; unique solvability},
language = {eng},
number = {1},
pages = {89-109},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Solvability of a periodic type boundary value problem for first order scalar functional differential equations},
url = {http://eudml.org/doc/249311},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Hakl, Robert
AU - Lomtatidze, Alexander
AU - Šremr, Jiří
TI - Solvability of a periodic type boundary value problem for first order scalar functional differential equations
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 1
SP - 89
EP - 109
AB - Nonimprovable sufficient conditions for the solvability and unique solvability of the problem \[ u^{\prime }(t)=F(u)(t)\,,\qquad u(a)-\lambda u(b)=h(u) \] are established, where $F:\rightarrow $ is a continuous operator satisfying the Carathèodory conditions, $h:\rightarrow R$ is a continuous functional, and $\lambda \in $.
LA - eng
KW - functional differential equation; periodic type boundary value problem; solvability; unique solvability; unique solvability
UR - http://eudml.org/doc/249311
ER -

References

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