EXISTENCE OF SOLUTIONS FOR IMPULSIVE BOUNDARY VALUE PROBLEMS ON INFINITE INTERVALS

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2023

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Ankara Univ, Fac Sci

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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The paper deals with the existence of solutions for a general class of second-order nonlinear impulsive boundary value problems defined on an infinite interval. The main innovative aspects of the study are that the results are obtained under relatively mild conditions and the use of principal and nonprincipal solutions that were obtained in a very recent study. Additional results about the existence of bounded solutions are also provided, and theoretical results are supported by an illustrative example.

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Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics

Volume

72

Issue

3

Start Page

721

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736

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https://doi.org/10.31801/cfsuasmas.1186785
 https://search.trdizin.gov.tr/tr/yayin/detay/1199616/existence-of-solutions-for-impulsive-boundary-value-problems-on-infinite-intervals

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