Solvability conditions for a nonlocal boundary value problem for linear functional differential equations

• Autorzy: Lomtatidze A. , Opluštil Z. , Šremr J.
• Języki publikacji: EN

Słowa kluczowe

EN

linear functional differential equation; nonlocal boundary value problem; existence and uniqueness

PL

równanie różniczkowe; nielokalny problem brzegowy

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2009
• Tom: Nr 41
• Strony: 81--96
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Lomtatidze A.

autor

Opluštil Z.

autor

Šremr J.

• Department of Mathematis and Statistics Faculty of Sciences, Masaryk University, Brno, Czech Republic,

Bibliografia

• [1] Azbelev N.V., Maksimov V.P., Rakhmatulina L.F., Introduction to the theory of functional differential equations, Nauka, Moscow, 1991 (in Russian).
• [2] Bravyi E., A note on the Fredholm property of Boundary value problems for linear functional differential equations, Mem. Differential Equat. Math. Phys., 20(2000), 133-135.
• [3] Hakl R., Kiguradze I., Půža B., Upper and lower solutions of boundary value problems for functional differential inequalities, Georgian Math. J., 7(3) (2002), 489-512.
• [4] Hakl R., Lomtatidze A. , Půža B., On nonnegative solutions of first order scalar functional differential equations, Mem. Differential Equations Math. Phys., 23(2001), 51-84.
• [5] Hakl R., Lomtatidze A., Stavroulakis I.P., On a boundary value problem for scalar linear functional differential equatins, Abstr. Appl. Anal., 1(2004), 45-67.
• [6] Hakl R., Lomtatidze A., Šremr J., Solvability and unique solvability of a periodic type boundary value problems for first order scalar functional differential equations, Georgian Math. J., 9(3)(2002), 525-547.
• [7] Hakl R., Lomtatidze A., Šremr J., Solvability of a periodic type boundary value problems for first order scalar functional differential equations, Arch. Math. (Brno), 40(1)(2004), 89-109.
• [8] Hakl R., Lomtatidze A., Šremr J., Some boundary value problems for first order scalar functional differential equations, Facult. Scien. Natur. Univ. Masaryk. Brunensis, Mathematica 10, 2002.
• [9] Kiguradze I., Půža B., On boundary value problems for systems of linear functional differential equations, Czechoslovak Math. J., 47(2)(1997), 341-373.
• [10] Kiguradze I., Půža B., Boundary value problems for systems of linear functional differential equations, Facult. Scien. Natur. Univ. Masaryk. Brunensis, Mathematica 12, 2003.
• [11] Lomtatidze A., Opluštil Z., On nonnegative solutions of a certain boundary value problem for first order linear functional differential equations, E.J. Qualitative Theory of Diff. Equ., Proc. 7'th Coll. Qualitative Theory of Diff. Equ., 16(2004), 1-21.
• [12] Schwabik Š., Tvrdý M., Vejvoda O., Differential and integral equations: Boundary value problems and adjoints, Academia, Praha, 1979.