On an application of the generalized Floquet theory to the transformation of the equation into its associated equation
Staněk, Svatoslav (1979)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Staněk, Svatoslav (1979)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Věra Radochová (1978)
Aplikace matematiky
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In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.
Thomas Kappeler (1991)
Annales de l'institut Fourier
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In this article we prove that the fibration of by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.
Lorenza Diomeda, Benedetta Lisena (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Peter Sjögren, Fernando Soria (1997)
Revista Matemática Iberoamericana
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Let Ω be homogeneous of degree 0 in R and integrable on the unit sphere. A rough maximal operator is obtained by inserting a factor Ω in the definition of the ordinary maximal function. Rough singular integral operators are given by principal value kernels Ω(y) / |y|, provided that the mean value of Ω vanishes. In an earlier paper, the authors showed that a two-dimensional rough maximal operator is of weak type (1,1) when restricted to radial functions. This result is now extended to...