Weak Solutions for the Dynamic Cauchy Problem in Banach Spaces

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2009

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Pergamon-elsevier Science 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

This paper is devoted to unify and extend the results of the existence of the weak solutions of continuous and discrete Cauchy problem in Banach spaces. We offer the existence of the weak solution of dynamic Cauchy problem on an infinite time scale. The measure of weak noncompactness and the fixed point theorem of Kubiaczyk are used to prove the main result. (C) 2009 Elsevier Ltd. All rights reserved.

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Yantir, Ahmet/0000-0002-4855-1691; Yantır, Ahmet/0000-0002-4855-1691; Cichoń, Mieczysław/0000-0003-2255-9449; Sikorska-Nowak, Aneta/0000-0002-6613-9078
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Yantir, Ahmet ORCID logo
Yantır, Ahmet ORCID logo
Cichoń, Mieczysław ORCID logo
Sikorska-Nowak, Aneta ORCID logo

Keywords

Cauchy dynamic problem, Banach space, Weak solutions, Measure of weak noncompactness, Time scale

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71

Issue

7-8

Start Page

2936

End Page

2943

URI

https://doi.org/10.1016/j.na.2009.01.175
 https://hdl.handle.net/20.500.14411/1537

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