The mathematical model of the forced synchronization system, composed of four oscillators is investigated. The mathematical model of the system is the matrix differential equation with delayed arguments. The matrix differential equation is solved using method of steps and applying Laplace transform. Using this method and exact solution of the matrix differential equation with delayed arguments was obtained and exact expressions of the elements of the step responses matrix, of the synchronization system are got. On the base of derived formulas the transition processes of the system are investigated.

Bibliography : leaves 272-277 / xiii, 277 leaves : ill ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Electrical and Electronic Engineering, 1993

Techn. Universiẗat, Diss., 2006--Darmstadt.

Tez (Yüksek Lisans) - Süleyman Demirel Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Anabilim Dalı, 2007. / Bibliyografya var.

Thesis (Ph. D.)--University of California, Riverside, 2009. / Includes abstract. Includes bibliographical references (leaves 92-93). Issued in print and online. Available via ProQuest Digital Dissertations.

Thesis (Ph.D.(Physics))--University of Pretoria, 2009. / Includes abstract in English. Includes bibliographical references. Also available online.

Thesis (Ph.D.)--University of Nebraska-Lincoln, 2009. / Title from title screen (site viewed February 25, 2010). PDF text: x, 193 p. ; 3 Mb. UMI publication number: AAT 3386609. Includes bibliographical references. Also available in microfilm and microfiche formats.

The purpose of this paper is to present a study of different methods of solving certain boundary value problems. In particular it will be concerned with solutions by classical methods and by operational methods. Of the various operational methods that may be considered, the Laplace transformation appears to be the best be used in this paper. In the 1951 Encyclopedia Americana Annual is this report on the activities in applied mathematics for the previous year: Progress was made on the general problem of finding the eigenvalues of matrices and systems of differential equations. Considerable effort was also expended in seeking methods of solution for the partial differential equations of physics. This gives an indication of the importance of this type of work at the present time. With the development of atomic energy, Jet air­planes, and guided missiles, have come many new and different boundary value problems. The solution of these problems is an important factor in the development. The paper will include a general description of what is meant by boundary value problem, followed by some examples. These examples will be solved by classical methods and then by operational method (Laplace transformation). Then where possible, comparisons between the two methods will be made. From the study of the solutions of these examples conclusions will be drawn.

Tez (Yüksek Lisans) - Süleyman Demirel Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Anabilim Dalı, 2008. / Kaynakça var.

Thesis (PhD.(Mathematics))-University of Pretoria, 2005. / Includes bibliographical references. Available on the Internet via the World Wide Web.