Results 41 to 50 of about 320,872 (183)
Elliptic operators and maximal regularity on periodic little-H\"older spaces
, 2011 We consider one-dimensional inhomogeneous parabolic equations with higher-order elliptic differential operators subject to periodic boundary conditions.
LeCrone, Jeremy
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Higher-order differential systems and a regularization operator [PDF]
Mathematica Bohemica, 1999 Summary: Sufficient conditions for the existence of solutions to boundary value problems with a Carathéodory right-hand side for ordinary differential systems are established by means of continuous approximations.
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Constructive factorization of LPDO in two variables
, 2005 We study conditions under which a partial differential operator of arbitrary order $n$ in two variables or ordinary linear differential operator admits a factorization with a first-order factor on the left.
A. Loewy +8 more
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The virial theorem for higher-order differential operators
Differential and Integral Equations, 2012 We develop virial theorems for ordinary differential equations. Both the Finkelstein and Fock methods are used. Vanishing of boundary conditions at singular points are handled by asymptotic methods as well as conditions which guarantee that the singular point is both a strong limit point and Dirichlet.
Behncke, Horst, Hinton, Don
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Mathieu equation and Elliptic curve
, 2011 We present a relation between the Mathieu equation and a particular elliptic curve. We find that the Floquet exponent of the Mathieu equation, for both $q>1$, can be obtained from the integral of a differential one form along the two homology cycles of ...
He, Wei, Miao, Yan-Gang
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Supersymmetric Quantum Mechanics and Painlevé IV Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2011 As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation.
David Bermúdez, David J. Fernández C.
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Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operators
Abstract and Applied Analysis, 2013 Recently, several authors demonstrated the usefulness of fractional calculus operators in the derivation of particular solutions of a considerably large number of linear ordinary and partial differential equations of the second and higher orders.
Resat Yilmazer, Okkes Ozturk
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Royal Society Open Science, 2023 In his seminal part IV, Annalen der Physik vol. 81, 1926 paper, Schrödinger has developed a clear understanding about the wave equation that produces the correct quadratic dispersion relation for matter-waves and he first presents a real-valued wave ...
Nicos Makris
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Conformal operators on weighted forms; their decomposition and null space on Einstein manifolds [PDF]
, 2013 There is a class of Laplacian like conformally invariant differential operators on differential forms $L^\ell_k$ which may be considered the generalisation to differential forms of the conformally invariant powers of the Laplacian known as the Paneitz ...
A. Rod, Gover, Josef Šilhan
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Higher-order supersymmetric quantum mechanics
, 2004 We review the higher-order supersymmetric quantum mechanics (H-SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first-order SUSY transformations are used to derive in a simple way the higher-order ...
C, David J Fernandez +1 more
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