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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 2
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Articles

Some new results concerning a class of third-order differential equations

R.D. AkhmetkaliyevaDepartment of Pure Mathematics, Eurasian National University, Munaytpassov k., 13, Astana, 010008, Kazakhstan.
,
L.-E. PerssonDepartment of Engineering Sciences and Mathematics, Luleå University of Technology, LuleåSE-971 87, Sweden.;Department of Mathematics, Narvik University College, Postboks 385, Narvik8505, Norway.
,
K.N. OspanovDepartment of Pure Mathematics, Eurasian National University, Munaytpassov k., 13, Astana, 010008, Kazakhstan.Correspondence[email protected]
&
P. WallDepartment of Engineering Sciences and Mathematics, Luleå University of Technology, LuleåSE-971 87, Sweden.
Pages 419-434 | Received 22 Nov 2013, Accepted 23 Feb 2014, Published online: 03 Apr 2014
 
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Abstract

We consider the following third-order differential equation with unbounded coefficients:Some new existence and uniqueness results are proved, and precise estimates of the norms of the solutions are given. The obtained results may be regarded as a unification and extension of all other results of this type.

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