St. Petersburg Mathematical Journal, 10. cilt,1-575. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
71 sonuçtan 1-3 arası sonuçlar
Sayfa 22
§5 . DIFFERENTIAL EQUATIONS We pass to considering the simplest differential equations on manifolds and bundles that ... equation ( 5.1 ) componentwise , we arrive at the system dx1 ( t ) dt = a1 ( t ) x1 ( t ) , ( 5.2 ) n drn ( t ) dt ...
§5 . DIFFERENTIAL EQUATIONS We pass to considering the simplest differential equations on manifolds and bundles that ... equation ( 5.1 ) componentwise , we arrive at the system dx1 ( t ) dt = a1 ( t ) x1 ( t ) , ( 5.2 ) n drn ( t ) dt ...
Sayfa 287
... equation L ( a ) = 0 , and let M * = M ( a * ) 0. For a = a * , equation ( 3.3 ) takes the form ( 3.5 ) dy dy ‡ = = √εM * y + √ɛy2Y1 + εY2 , where Y1 , Y2 are smooth functions . The Cauchy problem for equation ( 3.5 ) with initial ...
... equation L ( a ) = 0 , and let M * = M ( a * ) 0. For a = a * , equation ( 3.3 ) takes the form ( 3.5 ) dy dy ‡ = = √εM * y + √ɛy2Y1 + εY2 , where Y1 , Y2 are smooth functions . The Cauchy problem for equation ( 3.5 ) with initial ...
Sayfa 289
5. REVERSIBLE AND CONSERVATIVE EQUATIONS The equation L ( a ) = 0 will be called the determining equation . This terminology is natural because under the condition M * 0 the invariant tori in question correspond to the positive roots of ...
5. REVERSIBLE AND CONSERVATIVE EQUATIONS The equation L ( a ) = 0 will be called the determining equation . This terminology is natural because under the condition M * 0 the invariant tori in question correspond to the positive roots of ...
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A₁ Abelian group anisotropic arbitrary assume asymptotic boundary bounded C*-algebra coefficients compact condition cone conformal map consider constant construction convex Corollary corresponding decompositions defined definition denote dimension domain eigenvalues elements endomorphism English transl entire functions equation equivalent estimate exists exponential type F-algebra field finite formula geodesic Hadamard space harmonic measure Hence Hilbert space homomorphism homotopy II(m implies inequality integral isomorphism isotropic J-unitary k₁ Lemma linear Math Mathematical Mathematics Subject Classification matrices minimum-link module morphism multidegree obtain operator algebra operator space parameters Pfister form Pfister neighbor polynomial problem proof of Theorem properties Proposition proved quadratic form relation representation result satisfies segment sequence solution spectrum strongly stable subgroup Subsection subspace Theorem Theorem 2.1 theory topology unital homomorphism v₁ vector whence