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STUDIA MATHEMATICA - Issue no. 2 / 2023 | |||||||
Article: |
NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATION OF SECOND-ORDER DIFFERENTIAL EQUATION WITH SEVERAL DELAYS. Authors: SHYAM SUNDAR SANTRA. |
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Abstract: DOI: 10.24193/subbmath.2023.2.08 Received 18 April 2020; Accepted 10 May 2020. Published Online: 2023-06-14 Published Print: 2023-07-30 pp. 319-330 VIEW PDF FULL PDF In this paper, necessary and sufficient conditions are establish of the solutions to second-order delay differential equations of the form Our main tool is Lebesgue''s Dominated Convergence theorem. Examples illustrating the applicability of the results are also given, and state an open problem. Mathematics Subject Classification (2010): 34C10, 34C15, 34K11. Keywords: Oscillation, nonoscillation, nonlinear, delay argument, second-order differential equation, Lebesgue''s dominated convergence theorem. |
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