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Soit un réel de . Nous étudions le système d’équations de convolution suivantNous démontrons que les exponentielles polynômes solutions de sont denses dans l’espace des solutions du système d’équations; l’idéal de engendré par les transformées de Fourier des deux mesures intervenant ici est “slowly decreasing” au sens de Berenstein-Taylor. Lorsque n’est pas un nombre de Liouville, nous montrons qu’il existe un ouvert relativement compact telle que toute solution distribution de régulière...
Consider the third order nonlinear dynamic equation
, (*)
on a time scale which is unbounded above. The function f ∈ C(,) is assumed to satisfy xf(x) > 0 for x ≠ 0 and be nondecreasing. We study the oscillatory behaviour of solutions of (*). As an application, we find that the nonlinear difference equation
,
where α ≥ -1, γ > 0, c > 3, is oscillatory.
We develop a difference equations analogue of recent results by F. Gesztesy, K. A. Makarov, and the second author relating the Evans function and Fredholm determinants of operators with semi-separable kernels.
This paper is concerned with a class of nonlinear delay partial difference equations with variable coefficients, which may change sign. By making use of frequency measures, some new oscillatory criteria are established. This is the first time oscillation of these partial difference equations is discussed by employing frequency measures.
The paper deals with a theoretical model of the Crowel-Alipanahi correlator. The model describes a new possible effect of the DLTS spectra-exponential and nonexponential transient capacitance, normal or anomalous spectra.
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