Comparison theorems on fractional order difference equations

One of the most efficient methods of obtaining information on the behaviour of solutions of difference equations, even when they cannot be solved explicitly, is the comparison principle. In general, the comparison principle is concerned with estimating a function satisfying adifference inequality by...

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Detalles Bibliográficos
Autores principales: Jagan,J., Deekshitulu,G. V. S. R.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2013
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100003
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Sumario:One of the most efficient methods of obtaining information on the behaviour of solutions of difference equations, even when they cannot be solved explicitly, is the comparison principle. In general, the comparison principle is concerned with estimating a function satisfying adifference inequality by the solution of the corresponding difference equation. In the present paper, we shall establish various forms ofthe principle for fractional order difference equations.