No description available.

No description available.

Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1927. / "Sonderabdruck aus der "Mathematischen Zeitschrift", Band 27, Heft 1"--T.p. verso. Vita. Includes bibliographical references.

Abridgment of Thesis--New York University. / Includes bibliographical references (p. 15).

No description available.

No description available.

This thesis is intended to be a survey on the comparison theorems and oscillation theorems for second order linear differential equations. We shall discuss four comparison theorems in detail: Sturm-Picone, Levin, Reid and Leighton comparison theorems. For oscillation properties, we shall study Hille-Kneser theorems, and Wintner and Leighton oscillation criteria, which involves analysis of a Riccati equation. In 1969, J.S.W. Wong had some deep results about oscillatory and nonoscillatory differential equations. We shall explain these results and some of the examples in detail. This survey is mainly based on the monographs of Swanson [12], and Deng [20], plus a paper of Wong [18]. In some places, we give simplifications and extensions.

Thesis (Ph. D.)--University of Michigan, 1930. / "Reprinted from the Transactions of the Science Society of China, vol. VII, no. 2, 1931."

Thesis (Ph.D.)--Hong Kong University of Science and Technology, 2007. / Includes bibliographical references (leaves 72-85). Also available in electronic version.

Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-29T13:39:27Z No. of bitstreams: 1 arquivototal.pdf: 1365406 bytes, checksum: 95b2e457fb9ce800716ef14c1a145df6 (MD5) / Approved for entry into archive by Fernando Souza (fernandoafsou@gmail.com) on 2017-08-29T13:58:33Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 1365406 bytes, checksum: 95b2e457fb9ce800716ef14c1a145df6 (MD5) / Made available in DSpace on 2017-08-29T13:58:33Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1365406 bytes, checksum: 95b2e457fb9ce800716ef14c1a145df6 (MD5) Previous issue date: 2017-05-26 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this work, we study the Laplace Transform and explore its application in solving some linear ordinary di erential equations, which model various phenomena in the areas of Physics, Engineering, Industrial Automation and Mathematics itself. Such knowledge is of great importance in higher education courses covering such areas. We present the de nition, properties and main results involving the Laplace Transform and address several problems in the areas mentioned above. / Neste trabalho, estudamos a Transformada de Laplace e exploramos sua aplica ção na resolução de algumas equações diferenciais ordinárias lineares, as quais modelam vários fenômenos nas áreas de Física, Engenharia, Automação Industrial e na própria Matemática. Tais conhecimentos são de suma importância em cursos superiores que abrangem tais áreas. Apresentamos a de nição, propriedades e principais resultados envolvendo a Transformada de Laplace e abordamos vários problemas nas áreas citadas anteriormente.