Results 241 to 250 of about 12,514,312 (273)
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A class of fourth order differential equations
Annali di Matematica Pura ed Applicata, 1970The multiplicity of zeros of solutions of the differential equation $$y^{\left( n \right)} \left( x \right) + p\left( x \right)y\left( x \right) = 0$$ are investigated. On account of the results obtained, a class of fourth order differential equations is defined and the properties of the zeros of the solutions, which vanish in x=a, of a subclass,
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Fourth order linear differential equations with imprimitive group
Proceedings of the 2003 international symposium on Symbolic and algebraic computation, 2003In this paper we study fourth order linear differential equations whose differential Galois groups are imprimitive. We derive optimal bounds for the degree of the minimal polynomial of the logarithmic derivative of a Liouvillian solution. This is the lowest possible order where imprimitive non monomial groups occur.
Delphine Boucher +2 more
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Asymptotic Theory for a General Fourth ‐ Order Differential Equation
Mathematische Nachrichten, 1999AbstractAn asymptotic theory is developed for a general fourth‐order differential equation. The theory is applied with large coefficients. The forms of the asymptotic solutions are given under general conditions on the coefficients.
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ON A FOURTH ORDER SYMMETRIC DIFFERENTIAL EQUATION
The Quarterly Journal of Mathematics, 1982Paris, R. B., Wood, A. D.
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Asymptotic theory for a class of fourth‐order differential equations
Mathematika, 1996An 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, 1972Criteria 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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Stability of a Nonautonomous Differential Equation of Fourth Order
SIAM Journal on Control, 1971Sinha, A. S. C., Hoft, R. G.
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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.openaire +2 more sources
On the Oscillation of Certain Fourth-Order Differential Equations With p-Laplacian Like Operator
Applied Mathematics and Computation, 2020Omar Bazighifan
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New Oscillation Criteria for Advanced Differential Equations of Fourth Order
Mathematics, 2020Shao-Wen Yao +2 more
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