Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials
A class of difference equations which include discrete nonlinear Schrödinger equations as special cases are considered. New sufficient conditions of the existence and multiplicity results of homoclinic solutions for the difference equations are obtained by making use of the mountain pass theorem and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/703596 |
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| _version_ | 1832564983122100224 |
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| author | Defang Ma Zhan Zhou |
| author_facet | Defang Ma Zhan Zhou |
| author_sort | Defang Ma |
| collection | DOAJ |
| description | A class of difference equations which include discrete nonlinear Schrödinger
equations as special cases are considered. New sufficient conditions of the existence
and multiplicity results of homoclinic solutions for the difference equations are obtained
by making use of the mountain pass theorem and the fountain theorem, respectively.
Recent results in the literature are generalized and greatly improved. |
| format | Article |
| id | doaj-art-a8cb2ae96f0541f7aab3bc310f6a9bd5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a8cb2ae96f0541f7aab3bc310f6a9bd52025-02-03T01:09:48ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/703596703596Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded PotentialsDefang Ma0Zhan Zhou1School of Mathematics and Information Science, Guangzhou University, Guangdong, Guangzhou 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangdong, Guangzhou 510006, ChinaA class of difference equations which include discrete nonlinear Schrödinger equations as special cases are considered. New sufficient conditions of the existence and multiplicity results of homoclinic solutions for the difference equations are obtained by making use of the mountain pass theorem and the fountain theorem, respectively. Recent results in the literature are generalized and greatly improved.http://dx.doi.org/10.1155/2012/703596 |
| spellingShingle | Defang Ma Zhan Zhou Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials Abstract and Applied Analysis |
| title | Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials |
| title_full | Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials |
| title_fullStr | Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials |
| title_full_unstemmed | Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials |
| title_short | Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials |
| title_sort | existence and multiplicity results of homoclinic solutions for the dnls equations with unbounded potentials |
| url | http://dx.doi.org/10.1155/2012/703596 |
| work_keys_str_mv | AT defangma existenceandmultiplicityresultsofhomoclinicsolutionsforthednlsequationswithunboundedpotentials AT zhanzhou existenceandmultiplicityresultsofhomoclinicsolutionsforthednlsequationswithunboundedpotentials |