Monotone positive solutions of second-order nonlinear differential equations
(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:
https://lup.lub.lu.se/record/309536
- author
- Yin, Zhaoyang LU
- organization
- publishing date
- 2003
- 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
- 2022-01-28 07:55:07
@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}}, }