Boundary value problems on half-line for second-order nonlinear impulsive differential equations

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2018

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Wiley

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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

We obtain sufficient conditions for existence and uniqueness of solutions of boundary value problems on half-line for a class of second-order nonlinear impulsive differential equations. Our technique is different than the traditional ones, as it is based on asymptotic integration method involving principal and nonprincipal solutions. Examples are provided to illustrate the relevance of the results.

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Zafer, Agacik/0000-0001-8446-1223; Doğru Akgöl, Sibel/0000-0003-3513-1046
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Zafer, Agacik ORCID logo
Doğru Akgöl, Sibel ORCID logo

Keywords

boundary value problem, fixed point theory, half-line, impulsive differential equation, nonlinear, principal and nonprincipal solutions, second order

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3

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Volume

41

Issue

14

Start Page

5459

End Page

5465

URI

https://doi.org/10.1002/mma.5089
 https://hdl.handle.net/20.500.14411/2665

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