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55 sonuçtan 1-3 arası sonuçlar
Sayfa 78
Indeed, putting r = r' in the case where 0/a <C 1, we obtain the following relation (
see [35]): (83) n=1 9Rc , \x-x'\ xx'\ gRc (\ 02 \ Observe that the right-hand side of (
83) satisfies the nonhomogeneous equation (84.1) >,„„.,((. - ^)«W^hr,^) - JL - i).
Indeed, putting r = r' in the case where 0/a <C 1, we obtain the following relation (
see [35]): (83) n=1 9Rc , \x-x'\ xx'\ gRc (\ 02 \ Observe that the right-hand side of (
83) satisfies the nonhomogeneous equation (84.1) >,„„.,((. - ^)«W^hr,^) - JL - i).
Sayfa 468
Then so it is in the sense of Definition 5. Indeed, let uq be an nl-stable solution of
problem (1.1)— (1.2) in the sense of Definition 4. Fix e > 0 and choose 6 > 0 as in
Definition 4. Suppose the nonlinearity g satisfies the requirements of Definition ...
Then so it is in the sense of Definition 5. Indeed, let uq be an nl-stable solution of
problem (1.1)— (1.2) in the sense of Definition 4. Fix e > 0 and choose 6 > 0 as in
Definition 4. Suppose the nonlinearity g satisfies the requirements of Definition ...
Sayfa 506
However, if $ is admissible and satisfies (5.9), then lim;,_00 Sj(H$) = 0, and so r7*
is compact. §6. Very badly approximable functions In this section we obtain a
necessary and sufficient condition for an admissible infinite matrix function to be ...
However, if $ is admissible and satisfies (5.9), then lim;,_00 Sj(H$) = 0, and so r7*
is compact. §6. Very badly approximable functions In this section we obtain a
necessary and sufficient condition for an admissible infinite matrix function to be ...
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A FeHepanoe A M KorieHHan nopoacfleHHOCTb aire6p | 1 |
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absolutely continuous algebraic solutions amoebas analytic arbitrary assume asymptotic badly approximable Belyi function Bose gas bounded coefficients coincides compact condition conjugacy classes consider constant convergence convex Corollary correlation functions corresponding curves defined definition deformation denote dessins diagram differential dimension Dirac operator discrete edges eigenvalues element English transl equivalent estimate exists finite matrix functions formula G-cycle geodesic given Goursat problem graph hyperbolic identity implies inequality integral intersection invariant lattice Lemma linear Lipschitz Lipschitz map locally Math Mathematics Subject Classification metric space Newton polygon notation obtain Painleve parameter Phys polygon polynomial problem proof of Theorem Proposition prove quantum R-matrix rational functions relation respectively result right-hand side satisfies selfadjoint sequence sixth Painleve equation spectrum strongly regular graph Subsection subspace Suppose symmetric Theorem 2.1 theory transformation unique variables vector vertex vertices YB equation zero