On the asymptotic representation of the solutions to the fourth general Painlevé equation.

Lu, Youmin

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Ob ocenkah smeshannogo modulya gladkosti funkcii s preobrazovannym ryadom Fur'e

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Donal O'Regan (1995)

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New existence results are presented for the two point singular “resonant” boundary value problem $\frac{1}{p} {(p y^{'})}^{'} + r y + λ_{m} q y = f (t, y, p y^{'})$ a.eȯn $[0, 1]$ with $y$ satisfying Sturm Liouville or Periodic boundary conditions. Here $λ_{m}$ is the ${(m + 1)}^{s t}$ eigenvalue of $\frac{1}{p q} [{(p u^{'})}^{'} + r p u] + λ u = 0$ a.eȯn $[0, 1]$ with $u$ satisfying Sturm Liouville or Periodic boundary data.

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Applied Mathematics E-Notes [electronic only]

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Alexander J. Zaslavski (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We study a variational problem which was introduced by Hannon, Marcus and Mizel [ (2003) 145–149] to describe step-terraces on surfaces of so-called “unorthodox” crystals. We show that there is no nondegenerate intervals on which the absolute value of a minimizer is $π / 2$ identically.