General solution of nonlinear difference equations
نویسندگان
چکیده
منابع مشابه
General Solution of Nonlinear Difference Equations
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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بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1965
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1965-0200624-4