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Existence of solutions of impulsive boundary value problems for singular fractional differential systems

Yuji Liu (2017)

Mathematica Bohemica

A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class of impulsive boundary value problems for singular fractional differential systems in which odd homeomorphism operators (Definition 2.6) are involved. Main results are Theorem 4.1 and Corollary 4.2. The analysis relies on a well known fixed point...

Fonctions définies dans le plan et vérifiant certaines propriétés de moyenne

Alain Yger (1981)

Annales de l'institut Fourier

Soit a un réel de ] 0 , 1 [ . Nous étudions le système d’équations de convolution suivant ( * ) x R 2 , f ( x ) = 1 4 ϵ = ± 1 ϵ ' = ± 1 f ( x + ( ϵ , ϵ ' ) ) = 1 4 ϵ = ± 1 ϵ ' = ± 1 f ( x + a ( ϵ , ϵ ' ) ) . Nous démontrons que les exponentielles polynômes solutions de ( * ) sont denses dans l’espace des solutions C du système d’équations; l’idéal de ' ( R 2 ) engendré par les transformées de Fourier des deux mesures intervenant ici est “slowly decreasing” au sens de Berenstein-Taylor. Lorsque a n’est pas un nombre de Liouville, nous montrons qu’il existe un ouvert relativement compact telle que toute solution distribution de ( * ) régulière...

Functional equations and a theoretical model of DLTS

Václav Tryhuk (1995)

Applications of Mathematics

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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