Homoclinic orbits for first order Hamiltonian systems with some twist conditions
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| 008 | 210128e20151101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-4444-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4444-9 | ||
| 100 | 1 | |a Shan |D Yuan |u School of Mathematics and Statistics, Nanjing Audit University, 210029, Nanjing, P. R. China |4 aut | |
| 245 | 1 | 0 | |a Homoclinic orbits for first order Hamiltonian systems with some twist conditions |h [Elektronische Daten] |c [Yuan Shan] |
| 520 | 3 | |a In this paper, we study the nonperiodic first-order Hamiltonian system $\dot u = JL(t)u + JH'(t,u)$ , where H ∈ C 1(R × R2n ). With some assumptions on L, the corresponding Hamiltonian operator has only discrete spectrum. By using the index theory for self-adjoint operator equation, we establish the existence of multiple homoclinic orbits for the asymptotically quadratic nonlinearty satisfying some twist conditions between infinity and origin. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Homoclinic solutions |2 nationallicence | |
| 690 | 7 | |a first order Hamiltonian system |2 nationallicence | |
| 690 | 7 | |a index theory |2 nationallicence | |
| 690 | 7 | |a twist conditions |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1725-1738 |x 1439-8516 |q 31:11<1725 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4444-9 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4444-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Shan |D Yuan |u School of Mathematics and Statistics, Nanjing Audit University, 210029, Nanjing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1725-1738 |x 1439-8516 |q 31:11<1725 |1 2015 |2 31 |o 10114 | ||