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Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3

✍ Scribed by Janczewska, Joanna ;Maksymiuk, Jakub


Book ID
119990127
Publisher
Walter de Gruyter GmbH
Year
2012
Tongue
English
Weight
821 KB
Volume
10
Category
Article
ISSN
2391-5455

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Existence of even homoclinic orbits for
✍ Ying Lv; Chun-Lei Tang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 249 KB

Some existence theorems for even homoclinic orbits are obtained for a class of second-order nonautonomous Hamiltonian systems with symmetric potentials under a class of new superquadratic conditions. A homoclinic orbit is obtained as a limit of solutions of a certain sequence of nil-boundary-value p