Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Asymptotic integration of second-order nonlinear differential equations via principal and nonprincipal solutions
Date
2013-02-01
Author
Ertem, T.
Zafer, Ağacık
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
183
views
0
downloads
Cite This
Let u and v denote respectively the principal and nonprincipal solutions of the second-order linear equation (p(t)x')' + q(t)x = 0 defined on some half-line of the form [t(*), infinity).
Subject Keywords
Asymptotic integration
,
Second-order
,
Nonprincipal solution
,
Principal solution
URI
https://hdl.handle.net/11511/51810
Journal
APPLIED MATHEMATICS AND COMPUTATION
DOI
https://doi.org/10.1016/j.amc.2012.11.094
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Asymptotic integration of second-order nonlinear delay differential equations
Agarwal, Ravi P.; Ertem, Tuerker; Zafer, Ağacık (2015-10-01)
We study the asymptotic integration problem for second-order nonlinear delay differential equations of the form (p(t)x' (t))' q(t)x(t) = f (t, x(g(t))). It is shown that if a and v are principal and nonprincipal solutions of equation (p(t)x')' q(t)x = 0, then there are solutions x(1)(t) and x(2) (t) of the above nonlinear equation such that x(1)(t) = au(t) o(u(t)), t -> infinity and x(2)(t) = bv(t) o(v(t)), t -> infinity.
Asymptotic integration of second-order impulsive differential equations
Akgol, S. D.; Zafer, Ağacık (2018-02-01)
We initiate a study of the asymptotic integration problem for second-order nonlinear impulsive differential equations. It is shown that there exist solutions asymptotic to solutions of an associated linear homogeneous impulsive differential equation as in the case for equations without impulse effects. We introduce a new constructive method that can easily be applied to similar problems. An illustrative example is also given.
Exact Solutions of Effective-Mass Dirac-Pauli Equation with an Electromagnetic Field
Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2017-01-01)
The exact bound state solutions of the Dirac-Pauli equation are studied for an appropriate position-dependent mass function by using the Nikiforov-Uvarov method. For a central electric field having a shifted inverse linear term, all two kinds of solutions for bound states are obtained in closed forms.
Quantum groups, R-matrices and factorization
Çelik, Münevver; Okutmuştur, Baver; Kişisel, Ali Ulaş Özgür; Department of Mathematics (2015)
R-matrices are solutions of the Yang-Baxter equation. They give rise to link invariants. Quantum groups can be used to obtain R-matrices. Roughly speaking, Drinfeld’s quantum double corresponds to LU-decomposition. We proved a partial result concerning factorization of the quantum group M_{p,q} (n) into simpler pieces to ease the computations.
Statistical inference from complete and incomplete data
Can Mutan, Oya; Tiku, Moti Lal; Department of Statistics (2010)
Let X and Y be two random variables such that Y depends on X=x. This is a very common situation in many real life applications. The problem is to estimate the location and scale parameters in the marginal distributions of X and Y and the conditional distribution of Y given X=x. We are also interested in estimating the regression coefficient and the correlation coefficient. We have a cost constraint for observing X=x, the larger x is the more expensive it becomes. The allowable sample size n is governed by a...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
T. Ertem and A. Zafer, “Asymptotic integration of second-order nonlinear differential equations via principal and nonprincipal solutions,”
APPLIED MATHEMATICS AND COMPUTATION
, pp. 5876–5886, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51810.