Existence of Positive Solutions of a Sturm-Liouville Bvp on an Unbounded Time Scale

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2008

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Taylor & Francis Ltd

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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

A fixed point theorem of Guo-Krasnoselskii type is used to establish existence results for the nonlinear Sturm-Liouville dynamic equation (p(t)x(Delta))(del) + lambda phi(t)f(t,x(t)) = 0 with the boundary conditions on an unbounded time scale. Later on the positivity and the boundedness of the solutions are obtained by imposing some conditions on f.

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Yantır, Ahmet/0000-0002-4855-1691; Yantir, Ahmet/0000-0002-4855-1691; cetin, erbil/0000-0002-3785-7011
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Yantır, Ahmet ORCID logo
Yantir, Ahmet ORCID logo
cetin, erbil ORCID logo

Keywords

Sturm-Liouville BVP, infinite interval, positive solutions, fixed point theorem, time scales

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Q3

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Q3

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Volume

14

Issue

3

Start Page

287

End Page

293

URI

https://doi.org/10.1080/10236190701596508
 https://hdl.handle.net/20.500.14411/1022

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