Uniqueness of Solution for Second Order Nonlinear <i>q</I>-difference Equations With Multi-Point and Integral Boundary Conditions

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2022

Authors

Adiguzel, Rezan Sevinik
Sevinik Adıgüzel, Rezan
Sevinik Adıgüzel, Rezan
Sevinik Adıgüzel, Rezan

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Yokohama Publ

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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

The existence and uniqueness of the solution for the boundary value problem associated with nonlinear second-order q-difference equation is discussed by Banach contraction mapping theorem on b-metric spaces. The problem is converted to an integral equation and investigated via a fixed point problem for an integral operator. Existence and uniqueness conditions for a fixed point of the integral operator are obtained. Moreover, an example is introduced to support the main results.

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Fixed point, b-metric space, q-difference equations

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1

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Volume

23

Issue

8

Start Page

1663

End Page

1672

URI

https://hdl.handle.net/20.500.14411/8975

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