Analytic general solutions of nonlinear difference equations
نویسندگان
چکیده
منابع مشابه
Analytic General Solutions of Nonlinear Difference Equations
There is no general existence theorem for solutions for nonlinear difference equations, so we must prove the existence of solutions in accordance with models one by one. In our work, we found theorems for the existence of analytic solutions of nonlinear second order difference equations. The main work of the present paper is obtaining representations of analytic general solutions with new metho...
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for ||y || ^ ôo as x tends to infinity in the region Im(x) ^ R0. The coefficients fk(y) are assumed to be holomorphic for ||y|| ;£ 50. Let X, be the eigenvalues of the matrix foy(0). We shall make the following assumptions: (i) /o(0) = 0, (ii)l< |xx|< |x2|< ... < |x„|, (iü)n?=ii^ip,^i^i for j = 1,2, • • -, re and ^UiPi ^ 2, where p, are nonnegative integers. If /o(0) = 0 and X¡ ?¿ 1, we can det...
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ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata
سال: 2007
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-007-0051-4