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Monotone positive solutions of second-order nonlinear differential equations

Yin, Zhaoyang LU (2003) In Nonlinear Analysis: Theory, Methods & Applications 54(3). p.391-403
Abstract
We obtain an existence theorem for monotone positive solutions of nonlinear second-order ordinary differential equations by using the Schauder-Tikhonov fixed point theorem. The result can also be applied to prove the existence of positive solutions of certain semilinear elliptic equations in R-n (n greater than or equal to 3).
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
fixed point theory, semilinear elliptic equation, equation, monotone positive solution, second-order nonlinear differential
in
Nonlinear Analysis: Theory, Methods & Applications
volume
54
issue
3
pages
391 - 403
publisher
Elsevier
external identifiers
  • wos:000183227400002
  • scopus:0038147341
ISSN
0362-546X
DOI
10.1016/S0362-546X(03)00089-0
language
English
LU publication?
yes
id
ec0e0ced-8683-4c22-b5f8-6de951200046 (old id 309536)
date added to LUP
2016-04-01 15:54:32
date last changed
2025-10-14 11:04:08
@article{ec0e0ced-8683-4c22-b5f8-6de951200046,
  abstract     = {{We obtain an existence theorem for monotone positive solutions of nonlinear second-order ordinary differential equations by using the Schauder-Tikhonov fixed point theorem. The result can also be applied to prove the existence of positive solutions of certain semilinear elliptic equations in R-n (n greater than or equal to 3).}},
  author       = {{Yin, Zhaoyang}},
  issn         = {{0362-546X}},
  keywords     = {{fixed point theory; semilinear elliptic equation; equation; monotone positive solution; second-order nonlinear differential}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{391--403}},
  publisher    = {{Elsevier}},
  series       = {{Nonlinear Analysis: Theory, Methods & Applications}},
  title        = {{Monotone positive solutions of second-order nonlinear differential equations}},
  url          = {{http://dx.doi.org/10.1016/S0362-546X(03)00089-0}},
  doi          = {{10.1016/S0362-546X(03)00089-0}},
  volume       = {{54}},
  year         = {{2003}},
}