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References
N.V. Azbelev, V.P. Maksimov and L.F. Rakhmatullina: Introduction to the Theory of Functional Differential Equations. Nauka, Moscow, 1991. (In Russian.)
S.R. Bernfeld and V. Lakshmikantham: An Introduction to Nonlinear Boundary Value Problems. Academic Press, Inc., New York and London, 1974.
E.A. Coddington and N. Levinson: Theory of Ordinary Differential Equations. McGraw-Hill Book Company, Inc., New York Toronto London, 1955.
R. Conti: Recent trends in the theory of boundary value problems for ordinary differential equations. Boll. Unione mat. ital. 22 (1967), 135–178.
R. Conti: Problémes lineaires pour les equations differentielles ordinaires. Math. Nachr. 23 (1961), 161–178.
S.M. Gelashvili: On a boundary value problem for systems of functional differential equations. Arch. Math. (Brno) 20 (1964), 157–168. (In Russian.)
J. Hale: Theory of Functional Differential Equations. Springer-Verlag, New York Heidelberg Berlin, 1977.
G.H. Hardy, J.E. Littlewood and G. Pólya: Inequalities. Cambridge Univ. Press, Cambridge, 1934.
P. Hartman: Ordinary Differential Equations. John Wiley, New York, 1964.
L.V. Kantorovič, B.Z. Vulich and A.G. Pinsker: Functional Analysis in Semiordered Spaces. GITTL, Leningrad, 1950. (In Russian.)
I. Kiguradze: Some Singular Boundary Value Problems for Ordinary Differential Equations. Tbilisi Univ. Press, Tbilisi, 1975. (In Russian.)
I. Kiguradze: Boundary value problems for systems of ordinary differential equations. Current problems in mathematics. Newest results, Vol. 30, 3–103, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vses. Inst. Nauchn. i Tekh. Inform., Moscow (1978). (In Russian.)
T. Kiguradze: Some boundary value problems for systems of linear differential equations of hyperbolic type. Memoirs on Diff. Eq. and Math. Physics 1 (1994), 1–144.
J. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter. Czechoslovak Math. J. 7 (1957), 418–449.
J. Kurzweil and Z. Vorel: Continuous dependence of solutions of differential equations on a parameter. Czechoslovak Math. J. 7 (1957), 568–583. (In Russian.)
L.A. Ljusternik and V.I. Sobolev: Elements of Functional Analysis. Nauka, Moscow, 1965.
Z. Opial: Continuous parameter dependence in linear systems of differential equations. J. Diff. Eqs. 3 (1967), 571–579.
Z. Opial: Linear problems for systems of nonlinear differential equations. J. Diff. Eqs. 3 (1967), 580–594.
Š. Schwabik, M. Tvrdý and O. Vejvoda: Differential and Integral Equations: Boundary Value Problems and Adjoints. Academia, Praha, 1979.
R.A. Tsitskishvili: Unique solvability and correctness of a linear boundary value problem for functional-differential equations. Rep. Enlarged Sessions Sem. I.N. Vekua Inst. Appl. Math. 5 (1990), no. 3, 195–198. (In Russian.)
N.I. Vasiljev and J.A. Klokov: Foundations of the Theory of Boundary Value Problems for Ordinary Differential Equations. Zinatne, Riga, 1978. (In Russian.)
Z. Vorel: Continuous dependence of parameters. Nonlinear. Anal. Theory Meth. and Appl. 5 (1981), no. 4, 373–380.
W. Walter: Differential and Integral Inequalities. Springer-Verlag, Berlin Heidelberg New York, 1970.
W.M. Whyburn: Differential equations with general boundary conditions. Bull. Am. Math. Soc. 48 (1942), 691–704.
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Kiguradze, I., Půža, B. On boundary value problems for systems of linear functional differential equations. Czechoslovak Mathematical Journal 47, 341–373 (1997). https://doi.org/10.1023/A:1022829931363
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DOI: https://doi.org/10.1023/A:1022829931363