Existence problems for homoclinic solutions
The problem x˙=f(t,x), x(−∞)=x(+∞), where x(±∞):=limt→±∞x(t)∈ℝn, is considered. Some existence results for this problem are established using the fixed point method and topological degree theory.
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S108533750200074X |
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| _version_ | 1849306891749949440 |
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| author | Cezar Avramescu |
| author_facet | Cezar Avramescu |
| author_sort | Cezar Avramescu |
| collection | DOAJ |
| description | The problem x˙=f(t,x), x(−∞)=x(+∞), where x(±∞):=limt→±∞x(t)∈ℝn, is considered. Some existence results for this
problem are established using the fixed point method and
topological degree theory. |
| format | Article |
| id | doaj-art-1ddab578c9244d28baa0b7cd7ee4629e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1ddab578c9244d28baa0b7cd7ee4629e2025-08-20T03:54:56ZengWileyAbstract and Applied Analysis1085-33751687-04092002-01-017112710.1155/S108533750200074XExistence problems for homoclinic solutionsCezar Avramescu0Department of Mathematics, University of Craiova, 13 AI Cuza street, Craiova 1100, RomaniaThe problem x˙=f(t,x), x(−∞)=x(+∞), where x(±∞):=limt→±∞x(t)∈ℝn, is considered. Some existence results for this problem are established using the fixed point method and topological degree theory.http://dx.doi.org/10.1155/S108533750200074X |
| spellingShingle | Cezar Avramescu Existence problems for homoclinic solutions Abstract and Applied Analysis |
| title | Existence problems for homoclinic solutions |
| title_full | Existence problems for homoclinic solutions |
| title_fullStr | Existence problems for homoclinic solutions |
| title_full_unstemmed | Existence problems for homoclinic solutions |
| title_short | Existence problems for homoclinic solutions |
| title_sort | existence problems for homoclinic solutions |
| url | http://dx.doi.org/10.1155/S108533750200074X |
| work_keys_str_mv | AT cezaravramescu existenceproblemsforhomoclinicsolutions |