Existence of solutions for first order impulsive periodic boundary value problems on time scales

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2023

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Univ Nis, Fac Sci 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 study a class of first order impulsive periodic boundary value problems on time scales. We give conditions under which the considered problem has at least one and at least two solutions. The arguments are based upon recent fixed point index theory in cones of Banach spaces for a k-set contraction perturbed by an expansive operator. An example is given to illustrate the obtained result.

Description

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

Keywords

PBVPs, cone, k-set contraction, expansive operator, sum of operators, existence of solutions

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Volume

37

Issue

10

Start Page

3029

End Page

3042

URI

https://doi.org/10.2298/FIL2310029G
 https://hdl.handle.net/20.500.14411/2567

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