Geodesic
Boundary value problems for ordinary linear differential equations in the Colombeau algebra
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 38 (1999) no. 1, pp. 95-112

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Classification : 34A30, 34B05, 46F30 
Ligęza, Jan. Boundary value problems for ordinary linear differential equations in the Colombeau algebra. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 38 (1999) no. 1, pp. 95-112. http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a10/
@article{AUPO_1999_38_1_a10,
     author = {Lig\k{e}za, Jan},
     title = {Boundary value problems for ordinary linear differential equations in the {Colombeau} algebra},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {95--112},
     year = {1999},
     volume = {38},
     number = {1},
     mrnumber = {1767195},
     zbl = {0956.34013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a10/}
}
TY  - JOUR
AU  - Ligęza, Jan
TI  - Boundary value problems for ordinary linear differential equations in the Colombeau algebra
JO  - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY  - 1999
SP  - 95
EP  - 112
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a10/
LA  - en
ID  - AUPO_1999_38_1_a10
ER  - 
%0 Journal Article
%A Ligęza, Jan
%T Boundary value problems for ordinary linear differential equations in the Colombeau algebra
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 1999
%P 95-112
%V 38
%N 1
%U http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a10/
%G en
%F AUPO_1999_38_1_a10

[1] Colombeau J. F.: Elementary introduction to new generalized functions. Amsterdam-New York-Oxford-North Holland, 1985. | MR | Zbl

[2] Colombeau J. F.: Multiplication of distributions. Lecture Notes in Mathematics, 1532, 1992. | MR | Zbl

[3] Denkowski Z.: On the boundary value problems for the ordinary differential equation of second order. Prace Matematyczne U. J. (Kraków) 12 (1968), 11-16. | MR | Zbl

[4] Dłotko T.: Application of the notation of rotation of a vector field in the theory of differential equations and their applications. Prace Naukowe U. Śl. w Katowicach, 32 (1971), (in Polish)

[5] Deo S. G., Pandit S. G.: Differential systems involving impulses. Lecture Notes 954 (1982). | Zbl

[6] Doležal V.: Dynamics of linear systems. Praha, 1964. | MR

[7] Egorov Y.: A theory of generalized functions. Uspehi Math. Nauk 455 (1990), 3-40 (in Russian). | MR

[8] Filippov A. F.: Differential equations with discontinuous right part. Moscow, 1985, (in Russian).

[9] Hildebrandt T. H.: On systems of linear differential Stieltjes integral equations. Illinois Jour. of Math. 3 (1959), 352-373. | MR

[10] Kurzweil J.: Generalized ordinary differential equations. Czech. Math. J. 8 (1958), 360-389. | MR | Zbl

[11] Lasota A., Opial Z.: Sur les solutions périodiques des equations differentielles ordinaires. Ann. Polon. Math. 16 (1964), 69-94. | MR | Zbl

[12] Ligęza J.: Weak solutions of ordinary differential equations. Prace Naukowe U. Śl. w Katowicach, 842 (1986). | MR

[13] Ligęza J.: Generalized solutions of boundary value problems for ordinary linear differential equations of second order in the Colombeau algebra. Different aspect of differentiability, Dissertationes Mathematicae 340 (1995), 183-194. | MR | Zbl

[14] Ligęza J.: Generalized solutions of ordinary linear differential equations in the Colombeau algebra. Math. Bohemica 2 (1993), 123-146. | MR | Zbl

[15] Ligęza J.: Periodic solution of ordinary linear differential equations of second order in the Colombeau algebra. Different aspect of differentiability, Integral transforms and special functions 4, 1-2, 123-146. | MR

[16] Ligęza J., Tvrdý M.: On systems of linear algebraic equations in the Colombeau algebra. Mathematica Bohemica 124, 1 (1999), 1-14. | MR | Zbl

[17] Ligęza J.: Generalized periodic solutions of ordinary linear differential equations in the Columbeau algebra. Annales Mathematica Silesiana, Prace Naukowe U. Ś. w Katowicach, 11 (1997), 67-87. | MR

[18] Ligęza J.: On some boundary value problems for ordinary linear differential equations of second order in the Colombeau algebra. Acta Univ. Palacki. Olomuc., Fac. rer. nat. 35 (1996), 103-119. | MR | Zbl

[19] Persson J.: The Cauchy system for linear distribution differential equations. Functial Ekvac. 30 (1987), 162-168.

[20] Pfaff R.: Generalized systems of linear differential equations. Proc. of the Royal Soc. of Edingburgh, S. A. 89 (1981), 1-14. | MR | Zbl

[21] Schwabik Š., Tvrdý M., Vejvoda O.: Differential and integral equations. Praha, 1979. | MR

[22] Wyderka Z.: Some problems of optimal control for linear systems with measures as coefficients. Systems Science 5, 4 (1979), 425-431. | MR | Zbl