Almost periodic generalized solutions of differential equations
Mathematica Bohemica (2021)
- Volume: 146, Issue: 2, page 121-131
- ISSN: 0862-7959
Access Full Article
topAbstract
topHow to cite
topBouzar, Chikh, and Ouikene, Fethia. "Almost periodic generalized solutions of differential equations." Mathematica Bohemica 146.2 (2021): 121-131. <http://eudml.org/doc/297591>.
@article{Bouzar2021,
abstract = {The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions. Conditions on the existence of generalized solutions are given.},
author = {Bouzar, Chikh, Ouikene, Fethia},
journal = {Mathematica Bohemica},
keywords = {almost periodicity; generalized solution; ordinary differential equations},
language = {eng},
number = {2},
pages = {121-131},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Almost periodic generalized solutions of differential equations},
url = {http://eudml.org/doc/297591},
volume = {146},
year = {2021},
}
TY - JOUR
AU - Bouzar, Chikh
AU - Ouikene, Fethia
TI - Almost periodic generalized solutions of differential equations
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 2
SP - 121
EP - 131
AB - The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions. Conditions on the existence of generalized solutions are given.
LA - eng
KW - almost periodicity; generalized solution; ordinary differential equations
UR - http://eudml.org/doc/297591
ER -
References
top- Benmeriem, K., Bouzar, C., Generalized Gevrey ultradistributions, New York J. Math. 15 (2009), 37-72. (2009) Zbl1177.46031MR2481307
- Benmeriem, K., Bouzar, C., An algebra of generalized Roumieu ultradistributions, Rend. Semin. Mat., Univ. Politec. Torino 70 (2012), 101-109. (2012) Zbl1307.46032MR3305535
- Bouzar, C., Khalladi, M. T., Almost periodic generalized functions, Novi Sad J. Math. 41 (2011), 33-42. (2011) Zbl1265.46063MR2932762
- Bouzar, C., Khalladi, M. T., Linear differential equations in the algebra of almost periodic generalized functions, Rend. Semin. Mat., Univ. Politec. Torino 70 (2012), 111-120. (2012) Zbl1304.46037MR3305536
- Bouzar, C., Ouikene, M. T. F., 10.2298/fil1917407b, Filomat 33 (2019), 5407-5425. (2019) MR4055607DOI10.2298/fil1917407b
- Cioranescu, I., 10.2307/2159304, Proc. Am. Math. Soc. 116 (1992), 127-134. (1992) Zbl0765.46021MR1111214DOI10.2307/2159304
- Corduneanu, C., 10.1007/978-0-387-09819-7, Springer, New York (2009). (2009) Zbl1163.34002MR2460203DOI10.1007/978-0-387-09819-7
- Debrouwere, A., Vernaeve, H., Vindas, J., 10.1007/s00605-017-1066-6, Monatsh. Math. 186 (2018), 407-438. (2018) Zbl1403.46033MR3817011DOI10.1007/s00605-017-1066-6
- Erlacher, E., Grosser, M., 10.1007/978-3-0348-0585-8_13, Pseudo-Differential Operators, Generalized Functions and Asymptotics. Oper. Theory Adv. Appl. 231 Birkhäuser/Springer, Basel (2013), 253-270 S. Molahajloo et al. (2013) Zbl1275.46025MR3075942DOI10.1007/978-3-0348-0585-8_13
- Fink, A. M., 10.1007/BFb0070324, Lecture Notes in Mathematics 377. Springer, Berlin (1974). (1974) Zbl0325.34039MR0460799DOI10.1007/BFb0070324
- Hale, J. K., Lunel, S. M. Verduyn, 10.1007/978-1-4612-4342-7, Applied Mathematical Sciences 99. Springer, New York (1993). (1993) Zbl0787.34002MR1243878DOI10.1007/978-1-4612-4342-7
- Komatsu, H., Ultradistributions. I. Structure theorems and a characterization, J. Fac. Sci., Univ. Tokyo, Sect. I A 20 (1973), 25-105. (1973) Zbl0258.46039MR0320743
- Kunzinger, M., Oberguggenberger, M., Steinbauer, R., Vickers, J. A., 10.1023/B:ACAP.0000013815.32211.24, Acta Appl. Math. 80 (2004), 221-241. (2004) Zbl1060.46030MR2035508DOI10.1023/B:ACAP.0000013815.32211.24
- Ligęza, J., 10.21136/MB.1998.126067, Math. Bohem. 123 (1998), 301-316. (1998) Zbl0937.34003MR1645454DOI10.21136/MB.1998.126067
- Oberguggenberger, M., Multiplication of Distributions and Applications to Partial Differential Equations, Pitman Research Notes in Mathematics Series 259. Longman Scientific & Technical, Harlow; John Wiley & Sons, New York (1992). (1992) Zbl0818.46036MR1187755
- Schwartz, L., Théorie des distributions, Publications de l'Institut de Mathématique de l'Université de Strasbourg, No. IX-X. Nouvelle édition, entièrement corrigée, refondue et augmentée. Hermann, Paris French (1966). (1966) Zbl0149.09501MR0209834
- Wiener, J., 10.1142/1860, World Scientific, Singapore (1993). (1993) Zbl0874.34054MR1233560DOI10.1142/1860
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.