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| Immink G.K. — Asymptotics of Analytic Difference Equations |
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| Предметный указатель |
Analytic continuation of solutions of linear difference equations 2—4
Asymptotic expansion 10
Block-diagonalization 108—114
Block-triangularization 109 110 114—117
Borel — Ritt theorem 12
Canonical form of a matrix function 6
Canonical form of a matrix function, left 9 13
Canonical form of a matrix function, reduction to 117—125
Canonical form of a matrix function, right 9 13
Difference operator (left, right) 13
Formal invariants 13
Formal solutions 5 6 92—107
Formal theory of difference and differential equations 3
Fredholm operator 96
Fundamental matrix 1 117
Fundamental matrix, formal 6
Gevrey classes of formal power series 11
| Gevrey classes of holomorphic functions 10
Homogeneous linear difference equations 1 117—125
Index of a linear mapping 96
Invariants (formal) 7 8 13
k-singular direction 8
Laplace transform techniques 89
Linear difference equations 1—20
Nonlinear difference equations 76—91
S-proper regions 14
Sector, (strictly) left 14
Sector, (strictly) right 14
Sector, closed 11 12
Sector, half-open 12
Sector, open 12
Singular directions 8 13
Stability theorems 96
Stokes lines 13
Summability 77 82
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