Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
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
Existence of solutions for a class of nonlinear boundary value problems on half-line
Download
10.11861687-2770-2012-43.pdf
Date
2012-4-16
Author
Ertem, Türker
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
104
views
69
downloads
Cite This
Consider the infinite interval nonlinear boundary value problem (p(t)x ) + q(t)x = f (t, x), t ≥ t0 ≥ 0, x(t0) = x0, x(t) = a v(t) + b u(t) + o(ri(t)), t → ∞, where u and v are principal and nonprincipal solutions of (p(t)x’)’ + q(t)x = 0, r1(t) = o (u(t)(v(t))μ ) and r2(t) = o(v(t)(u(t))μ ) for some μ Î (0, 1), and a and b are arbitrary but fixed real numbers. Sufficient conditions are given for the existence of a unique solution of the above problem for i = 1, 2. An example is given to illustrate one of the main results.
Subject Keywords
Boundary value problem
,
Singular
,
half-line
,
principal
,
Nonprincipal
URI
https://hdl.handle.net/11511/51230
Journal
Boundary Value Problems
DOI
https://doi.org/10.1186/1687-2770-2012-43
Collections
Graduate School of Applied Mathematics, Article
Suggestions
OpenMETU
Core
Application of a Robust Multigrid Technique for the Parallel Solution of Initial-Boundary Value Problems
Martynenko, S.I.; Gökalp, İskender; Bakhtin, V.A.; Karaca, Mehmet; Toktaliev, P.D.; Semenev, P.A. (2022-12-01)
This article is devoted to the construction of a parallel multigrid algorithm for the numerical solution of (non)linear initial-boundary value problems (implicit schemes) based on a robust multigrid technique (RMT). A distinctive feature of the proposed algorithm is the possibility of the parallel solution of initial-boundary value problems and initial-boundary value problems in a unified manner involving 3m independent computers (threads, if the OpenMP parallelization technology is used), m = 1, 2, 3, …. C...
A Rayleigh–Ritz Method for Numerical Solutions of Linear Fredholm Integral Equations of the Second Kind
Kaya, Ruşen; Taşeli, Hasan (2022-01-01)
A Rayleigh–Ritz Method is suggested for solving linear Fredholm integral equations of the second kind numerically in a desired accuracy. To test the performance of the present approach, the classical one-dimensional Schrödinger equation -y″(x)+v(x)y(x)=λy(x),x∈(-∞,∞) has been converted into an integral equation. For a regular problem, the unbounded interval is truncated to x∈ [ - ℓ, ℓ] , where ℓ is regarded as a boundary parameter. Then, the resulting integral equation has been solved and the results are co...
REGULARITY OF QUOTIENTS OF DRINFELD MODULAR SCHEMES
Kondo, Satoshi; Yasuda, Seidai (Mathematical Sciences Publishers, 2020-02-01)
Let A be the coordinate ring of a projective smooth curve over a finite field minus a closed point. For a nontrivial ideal I subset of A, Drinfeld defined the notion of structure of level I on a Drinfeld module.
Value sets of bivariate Chebyshev maps over finite fields
Küçüksakallı, Ömer (2015-11-01)
We determine the cardinality of the value sets of bivariate Chebyshev maps over finite fields. We achieve this using the dynamical properties of these maps and the algebraic expressions of their fixed points in terms of roots of unity.
Joint densities of hitting times for finite state Markov processes
Bielecki, Tomasz R.; Jeanblanc, Monique; Sezer, Ali Devin (2018-01-01)
For a finite state Markov process X and a finite collection {Gamma<INF>k</INF>, k is an element of K} of subsets of its state space, let tau<INF>k</INF> be the first time the process visits the set Gamma<INF>k</INF>. In general, X may enter some of the Gamma<INF>k</INF> at the same time and therefore the vector tau := (tau<INF>k</INF>, k is an element of K) may put nonzero mass over lower dimensional regions of R<INF>+</INF> <SUP>vertical bar K vertical bar</SUP>;these regions are of the form R<INF>s</INF> ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
T. Ertem and A. Zafer, “Existence of solutions for a class of nonlinear boundary value problems on half-line,”
Boundary Value Problems
, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51230.