Existence of solutions for odd-order multi-point impulsive boundary value problems on time scales

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2022

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Walter de Gruyter Gmbh

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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

Using a fixed point theorem due to Schaefer, the existence of solutions for an odd-order m-point impulsive boundary value problem on time scales is obtained. The problem considered is of general form, where both the differential equation and the impulse effects are nonlinear. Illustrative examples are provided.

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

Keywords

Impulsive dynamic equation, time scales, odd order

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1

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Volume

29

Issue

4

Start Page

505

End Page

513

URI

https://doi.org/10.1515/gmj-2022-2153
 https://hdl.handle.net/20.500.14411/1851

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