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Original Articles

On the unique solvability of a non‐local boundary value problem for linear functional differential equations

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Pages 241-250 | Received 15 Oct 2007, Published online: 14 Oct 2010

References

  • Azbelev , N. , Maksimov , V. and Rakhmatullina , L. 1995 . Introduction to the Theory of Linear Functional Differential Equations, volume 3 of Advanced Series in Mathematical Science and Engineering , volume 3 , Atlanta, GA : World Federation Publishers Company .
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  • Krasnoselskii , M. A. 1964 . Positive Solutions of Operator Equations , Groningen : Wolters‐Noordhoff Scientific Publications Ltd .
  • Krasnoselskii , M. A. , Lifshits , E. A. , Pokornyi , Yu. V. and Stetsenko , V. Ya. 1974 . Positively invertible linear operators and the solvability of non‐linear equations . Dokl. Akad. Nauk Tadzhik. SSR , 17 (1) : 12 – 14 .
  • Krasnoselskii , M. A. and Zabreiko , P. P. 1984 . Geometrical Methods of Nonlinear Analysis , Berlin, New York : Springer .
  • Lomtatidze , A. and Opluštil , Z. On nonnegative solutions of a certain boundary value problem for first order linear functional differential equations . Proceedings of the 7th Colloquium on the Qualitative Theory of Differential Equations, volume 7 of Proc. Colloq. Qual. Theory Differ. Equ. volume 7 , pp. 16 21 Szeged : Electron. J. Qual. Theory Differ. Equ . (electronic)
  • Šremr , J. 1974 . On the Cauchy type problem for systems of functional differential equations . Nonlinear Analysis: Theory, Methods & Applications , 67 (12) : 3240 – 3260 .
  • The research was supported in part by AS CR, Institutional Research Plan No. AV0Z10190503, GA CR, Grant No. 201/06/0254, and DFFD, Grant No. 0107U003322, and National Scholarship Programme of the Slovak Republic.

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