Title:
|
Linear boundary value type problems for functional-differential equations and their adjoints (English) |
Author:
|
Tvrdý, Milan |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
25 |
Issue:
|
1 |
Year:
|
1975 |
Pages:
|
37-66 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
idZBL:
|
Zbl 0328.34071 |
idMR:
|
MR0374609 |
DOI:
|
10.21136/CMJ.1975.101292 |
. |
Date available:
|
2008-06-09T14:10:36Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101292 |
. |
Reference:
|
[1] Banks H. T.: Representations for Solutions fo Linear Functional Differential Equations.Journ. Diff. Eq. 5 (1969), 399-409. MR 0235237, 10.1016/0022-0396(69)90052-7 |
Reference:
|
[2] Cameron R. H., Martin W. T.: An unsymmetric Fubini theorem.Bull. A.M.S. 47 (1941), 121-125. Zbl 0025.15201, MR 0003700, 10.1090/S0002-9904-1941-07384-2 |
Reference:
|
[3] Delfour M. С, Mitter S. K.: Hereditary Differential Systems with Constant Delays. II - A class of affine systems and the adjoint problem.to appear in Journ. Diff. Eq. Zbl 0303.34052, MR 0369853 |
Reference:
|
[4] Dunford N., Schwartz T.: Linear operators, part I.Interscience Publishers, New York- London, 1958. |
Reference:
|
[5] Halanay A.: Periodic solutions of linear systems with time lag.(in Russian), Rev. Math. pures appl. (Acad. R.P.R.) 6 (1961), 141-158. MR 0149021 |
Reference:
|
[6] Halanay A.: On a Boundary Value Problem for Linear Systems with Time Lag.Journ. Diff. Eq. 2(1966), 47-56. Zbl 0142.06104, MR 0190490, 10.1016/0022-0396(66)90062-3 |
Reference:
|
[7] Hale J. K.: Functional Differential Equations.Applied Mathematical Sciences, vol. 3, Springer-Verlag, New York, 1971. Zbl 0223.34057, MR 0466837 |
Reference:
|
[8] Henry D.: The Adjoint of a Linear Functional Differential Equation and Boundary Value Problems.Journ. Diff. Eq. 9 (1971), 55-66. Zbl 0228.34040, MR 0274901, 10.1016/0022-0396(70)90153-1 |
Reference:
|
[9] Lifsic E. A.: Fredholm alternative for the problem of periodic solutions to differential equations with retarded argument.(in Russian), Probl. mat. analiza sloznych sistem I (1967), 53-57. MR 0225126 |
Reference:
|
[10] Schwabik Št.: On an integral operator in the space of functions with bounded variation.Čas. pěst. mat.97 (1972) 297-330 Zbl 0255.47057, MR 0450906 |
Reference:
|
[11] Schwabik Št.: Remark on linear equations in Banach space.Čas. pěst mat., 99 (1974), 115-122. Zbl 0301.47017, MR 0390811 |
Reference:
|
[12] Tvrdý M., Vejvoda O.: General boundary value problem for an integro-differential system and its adjoint.Čas. pěst mat. 97 (1972), 399-419 and 98 (1973), 26-42. |
Reference:
|
[13] Tvrdý M.: Note on functional-differential equations with initial functions of bounded variation.Czech. Math. J. 25 (100) (1975), 67-70. MR 0374604 |
Reference:
|
[14] Wexler D.: On boundary value problems for an ordinary linear differential system.Ann. Mat. pura appl. 80 (1968), 123-134. MR 0247242 |
Reference:
|
[15] Tvrdý M.: Linear functional-differential operators: normal solvability and adjoints.to appear in the Proceedings of the Colloquium on Differential Equations/ (Keszthely, Hungary - September 1974), MR 0482357 |
Reference:
|
[16] Maksimov V. P.: General boundary value problem for linear functional-differential equation is noetherian.(in Russian), Diff. urav. 10 (1974), 2288-2291. MR 0361355 |
. |