| Title | FOURIER SERIES AND PERIODIC SOLUTIONS OF PERIODIC LINEAR NON-HOMOGENEOUS IMPULSIVE EQUATIONS |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | Simeonov, PS |
| Secondary Title | Communications in Applied Analysis |
| Volume | 11 |
| Issue | 2 |
| Start Page | 255 |
| Pagination | 268 |
| Date Published | 04/2007 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 34A37 |
| Abstract | The purpose of the present paper is to investigate the possibility to apply Fourier series in finding the T-periodic solution
Various problems are solved in connection with the determining of the Fourier coefficients of the solution |
| URL | http://www.acadsol.eu/en/articles/11/2/8.pdf |
| Short Title | Fourier Series and Periodic Solutions |
| Refereed Designation | Refereed |
| Full Text | References[1] D.D. Bainov and P.S. Simeonov, Impulsive Differential Equations: Periodic Solutions and Applications, Longman Scientific and Technical, New York, 1993.
[2] D.K. Faddeev and I.S. Sominsky, A Problem Book in Higher Algebra, Nauka, Moscow, 1968, In Russian. [3] G.M. Fikhtengolts, A Course of Differential and Integral Calculus, Vol. III, Nauka, Moscow, 1970, In Russian. |
of the T -periodic linear non-homogeneous impulsive equation:
and with the representation of this solution by Fourier series having a good convergence in the whole interval [0, T ].