Pré-Publication, Document De Travail Année : 2026

Rigidity and Structural Asymmetry of Bounded Solutions

Résumé

In this manuscript, we introduce a family of parametrized nonhomogeneous linear complex differential equations on [1, ∞), depending on a complex parameter. We identify a Rotation number hypothesis on the non-homogeneous term, which establishes a structural asymmetry: if two solutions with the same initial condition equal to 1, corresponding respectively to the parameters s and 1 -s lying in the critical strip, are both bounded on [1, +∞), then ℜ(s) = 1 2 .

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Dates et versions

hal-05552822 , version 1 (14-03-2026)
hal-05552822 , version 2 (22-03-2026)
hal-05552822 , version 3 (27-03-2026)
hal-05552822 , version 4 (29-03-2026)
hal-05552822 , version 5 (13-04-2026)
hal-05552822 , version 6 (15-04-2026)

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  • HAL Id : hal-05552822 , version 6

Citer

W Oukil. Rigidity and Structural Asymmetry of Bounded Solutions. 2026. ⟨hal-05552822v6⟩

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