equation 16.49 eq:calcvar-jacobi

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Supports

• depends_on definition A.438 Momentum variable and the accessory system ¶
  • depends_on lemma A.439 Existence, uniqueness, and the structure of the zeros ¶
    • depends_on lemma A.442 The Wronskian of the accessory equation is constant ¶
      • depends_on definition A.467 Green function of the shifted problem ¶
        • depends_on lemma A.468 The kernel is well defined, symmetric and Lipschitz ¶
        • depends_on theorem A.469 The Green operator inverts $L_{K}$ ¶
      • depends_on theorem A.443 Sturm separation theorem ¶
    • depends_on theorem A.441 Continuous dependence on the data and on the initial point ¶
      • depends_on corollary A.445 Displacing the initial point ¶
• depends_on theorem A.436 Strengthened Jacobi condition and conjugate points ¶
  • depends_on corollary A.445 Displacing the initial point ¶ ↺
• depends_on theorem 16.56 Sufficiency of the second variation ¶
  • depends_on corollary 16.65 Sufficiency for a weak minimum ¶