St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
38 sonuçtan 1-3 arası sonuçlar
Sayfa 1103
... field has no singular points . There are two important higher - dimensional generalizations of Hamiltonian vec- tor fields on the plane . The better - known generalization is the theory of higher- dimensional Hamiltonian systems . In ...
... field has no singular points . There are two important higher - dimensional generalizations of Hamiltonian vec- tor fields on the plane . The better - known generalization is the theory of higher- dimensional Hamiltonian systems . In ...
Sayfa 1107
... fields on the two - torus the analogous result was proved by Kolmogorov [ 7 ] . Lemma 1. Every trajectory of polyintegrable smooth vector field without singular points on the three - dimensional torus joins -∞ and + ∞ in a ...
... fields on the two - torus the analogous result was proved by Kolmogorov [ 7 ] . Lemma 1. Every trajectory of polyintegrable smooth vector field without singular points on the three - dimensional torus joins -∞ and + ∞ in a ...
Sayfa 1108
... field extend unboundedly . The derivative of the function H2 along this field is equal to 1. Therefore H2 varies along the trajectories of the field from -∞o to + ∞o . It follows from this that every level curve of h2 on H1 = const ...
... field extend unboundedly . The derivative of the function H2 along this field is equal to 1. Therefore H2 varies along the trajectories of the field from -∞o to + ∞o . It follows from this that every level curve of h2 on H1 = const ...
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HADAMARDS CONJECTURE | 634 |
1993 No 4 | 921 |
AND ESTIMATES OF THE GREEN FUNCTION | 1054 |
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According algebra analytic apply assertion assume asymptotic boundary bounded closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function given gives hence holds implies inequality integral introduce Lemma limit linear mapping Math Mathematical means measure multiplicity norm obtained Obviously operator pair particular perturbation positive possible principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique vector zero