Boundary value problems for ordinary linear differential equations in the Colombeau algebra
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1999)
- Volume: 38, Issue: 1, page 95-112
- ISSN: 0231-9721
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topLigęza, Jan. "Boundary value problems for ordinary linear differential equations in the Colombeau algebra." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 38.1 (1999): 95-112. <http://eudml.org/doc/23669>.
@article{Ligęza1999,
author = {Ligęza, Jan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {boundary value problems; Colombeau algebra; solution},
language = {eng},
number = {1},
pages = {95-112},
publisher = {Palacký University Olomouc},
title = {Boundary value problems for ordinary linear differential equations in the Colombeau algebra},
url = {http://eudml.org/doc/23669},
volume = {38},
year = {1999},
}
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
PB - Palacký University Olomouc
VL - 38
IS - 1
SP - 95
EP - 112
LA - eng
KW - boundary value problems; Colombeau algebra; solution
UR - http://eudml.org/doc/23669
ER -
References
top- Colombeau J. F., Elementary introduction to new generalized functions, Amsterdam-New York-Oxford-North Holland, 1985. (1985) Zbl0584.46024MR0808961
- Colombeau J. F., Multiplication of distributions, Lecture Notes in Mathematics, 1532, 1992. (1992) Zbl0815.35002MR1222643
- Denkowski Z., On the boundary value problems for the ordinary differential equation of second order, Prace Matematyczne U. J. (Kraków) 12 (1968), 11-16. (1968) Zbl0287.34014MR0224896
- 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) (1971)
- Deo S. G., Pandit S. G., Differential systems involving impulses, Lecture Notes 954 (1982). (1982) Zbl0539.34001
- Doležal V., Dynamics of linear systems, Praha, 1964. (1964) MR0169744
- Egorov Y., A theory of generalized functions, Uspehi Math. Nauk 455 (1990), 3-40 (in Russian). (1990) MR1084986
- Filippov A. F., Differential equations with discontinuous right part, Moscow, 1985, (in Russian). (1985)
- Hildebrandt T. H., On systems of linear differential Stieltjes integral equations, Illinois Jour. of Math. 3 (1959), 352-373. (1959) MR0105600
- Kurzweil J., Generalized ordinary differential equations, Czech. Math. J. 8 (1958), 360-389. (1958) Zbl0102.07003MR0111878
- Lasota A., Opial Z., Sur les solutions périodiques des equations differentielles ordinaires, Ann. Polon. Math. 16 (1964), 69-94. (1964) Zbl0142.35303MR0170072
- Ligęza J., Weak solutions of ordinary differential equations, Prace Naukowe U. Śl. w Katowicach, 842 (1986). (1986) MR0868863
- 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. (1995) Zbl0837.34026MR1342577
- Ligęza J., Generalized solutions of ordinary linear differential equations in the Colombeau algebra, Math. Bohemica 2 (1993), 123-146. (1993) Zbl0776.34046MR1223478
- 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. MR1601207
- Ligęza J., Tvrdý M., On systems of linear algebraic equations in the Colombeau algebra, Mathematica Bohemica 124, 1 (1999), 1-14. (1999) Zbl0940.46022MR1687437
- 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. (1997) MR1604875
- 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. (1996) Zbl0964.34010MR1485048
- Persson J., The Cauchy system for linear distribution differential equations, Functial Ekvac. 30 (1987), 162-168. (1987)
- Pfaff R., Generalized systems of linear differential equations, Proc. of the Royal Soc. of Edingburgh, S. A. 89 (1981), 1-14. (1981) Zbl0475.34005MR0628123
- Schwabik Š., Tvrdý M., Vejvoda O., Differential and integral equations, Praha, 1979. (1979) MR0542283
- Wyderka Z., Some problems of optimal control for linear systems with measures as coefficients, Systems Science 5, 4 (1979), 425-431. (1979) Zbl0442.49002MR0572042
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