EXISTENCE OF SOLUTIONS FOR THIRD ORDER MULTI POINT IMPULSIVE BOUNDARY VALUE PROBLEMS ON TIME SCALES

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2022

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Univ Miskolc inst Math

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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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Abstract

In this paper, we obtain sufficient conditions for existence of solutions of a third order m-point impulsive boundary value problem on time scales. To the best of our knowledge, there is hardly any work dealing with third order multi point dynamic impulsive BVPs. The reason may be the complex arguments caused by both impulsive perturbations and calculations on time scales. As an application, we give an example demonstrating our results.

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Doğru Akgöl, Sibel/0000-0003-3513-1046; Kus, Murat Eymen/0000-0003-1960-1706

Keywords

impulsive dynamic equation, time scale, m-point BVP, third order

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Volume

23

Issue

2

Start Page

677

End Page

690

URI

https://doi.org/10.18514/MMN.2022.3813
 https://hdl.handle.net/20.500.14411/1671

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