Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices
By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. Some results in...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/436529 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554243136946176 |
|---|---|
| author | Genghong Lin Zhan Zhou |
| author_facet | Genghong Lin Zhan Zhou |
| author_sort | Genghong Lin |
| collection | DOAJ |
| description | By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. Some results in the literature are improved. |
| format | Article |
| id | doaj-art-adf0599b73014dc1a7cb740a199c2312 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-adf0599b73014dc1a7cb740a199c23122025-02-03T05:51:59ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/436529436529Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional LatticesGenghong Lin0Zhan Zhou1School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaBy using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. Some results in the literature are improved.http://dx.doi.org/10.1155/2014/436529 |
| spellingShingle | Genghong Lin Zhan Zhou Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices Abstract and Applied Analysis |
| title | Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices |
| title_full | Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices |
| title_fullStr | Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices |
| title_full_unstemmed | Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices |
| title_short | Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices |
| title_sort | homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices |
| url | http://dx.doi.org/10.1155/2014/436529 |
| work_keys_str_mv | AT genghonglin homoclinicsolutionsofaclassofnonperiodicdiscretenonlinearsystemsininfinitehigherdimensionallattices AT zhanzhou homoclinicsolutionsofaclassofnonperiodicdiscretenonlinearsystemsininfinitehigherdimensionallattices |