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Asymptotic theory for a class of fourth‐order differential equations

Mathematika, 1996
An asymptotic theory is developed for a class of fourth-order differential equations. Under general conditions on the coefficients of the differential equation we obtain the forms of the asymptotic solutions such that the solutions have different orders of magnitude for large \(x\).
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Oscillation Criteria for a Class of Fourth Order Differential Equations

SIAM Journal on Applied Mathematics, 1972
Criteria are established which assure that $y^{( 4 )} - py = 0$ has a nontrivial solution with two double zeros on an interval $[ a,b ]$. These criteria improve related results recently formulated by J. Bradley.
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On estimating of a fourth-order differential equations.

Summary: We find the optimal upper bound of the principal eigenvalue for fourth-order self-adjoint two-point boundary eigenvalue problems. The estimates depend on the coefficients of the differential equation as they vary over a given class of equimeasurable functions.
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New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations

Mathematics, 2021
Rami Ahmad El-Nabulsi   +2 more
exaly  

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